PERCEIVED GAME UNCERTAINTY, SUSPENSE AND THE DEMAND FOR SPORT.
Pawlowski, Tim ; Nalbantis, Georgios ; Coates, Dennis 等
PERCEIVED GAME UNCERTAINTY, SUSPENSE AND THE DEMAND FOR SPORT.
I. INTRODUCTION
Professional sport leagues around the globe have instituted many
extra-market rules, especially with regard to the sport labor market.
Common measures in this regard are salary caps, entry drafts, or revenue
sharing devices. (1) Such devices are commonly justified as necessary to
maintain or improve the level of competitive balance (CB) within a
league. In fact, the CB argument is the main "justification that
sports leagues offer to defend agreements otherwise prohibited by
antitrust laws" (Mehra and Zuercher 2006, 1505). This argument is
based on the assumption that sport competitions need to be tight to be
attractive for spectators--a relation first mentioned by Rottenberg
(1956) and Neale (1964) in their seminal works six decades ago, which is
now established in the literature as the uncertainty of outcome
hypothesis (UOH) in sports.
Following Szymanski (2003), uncertainty in this regard refers to
outcomes of games (match/ game uncertainty) or in-season
sub-competitions such as the championship race or the fight against
relegation (seasonal uncertainty) as well as the degree to which a
league is dominated (or not) by a few teams over time (championship
uncertainty). Importantly, single games might not only be characterized
by game uncertainty. Rather, seasonal uncertainty might also unfold at
the level of a single game, which is referred to as Match Relevance
(e.g., Jennett 1984), Decisiveness of a Game (e.g., Geenens 2014), the
League Standing Effect (e.g., Humphreys and Zhou 2016), or Competition
Intensity (e.g., Scelles et al. 2013a, 2013b) in the literature. (2)
Over several decades, numerous papers have tested the impact of
uncertainty--in particular game uncertainty--on the demand for sport. In
contrast to the widespread belief in the UOH by policy makers, however,
this empirical literature offers ambiguous findings. While there is some
supportive evidence for the relevance of seasonal uncertainty,
match-level attendance studies seldom find that the more tickets are
sold the more uncertain the result of the game is anticipated to be. In
contrast, most studies show that stadium attendance rises as the
certainty of a home team or away team win rises. (3) Moreover, although
there is more supportive evidence for the impact of game uncertainty on
TV viewing in several sports, a very limited number of studies on soccer
finds either clear (Buraimo and Simmons 2009; Meier and Leinwather 2012;
Schreyer, Schmidt, and Torgler 2016a) or partial support (Schreyer,
Schmidt, and Torgler 2016b, 2017) for the relevance of close soccer
games for TV viewers. (4)
Currently, three different behavioral economic explanations for the
remaining "lack of certainty about outcome uncertainty" (Leach
2006, 117) are discussed in the literature. (5) First, fans might
exhibit loss aversion and derive more utility from the chance to see an
upset. This idea is based on prospect theory and the concept of
reference-dependent preferences (Kahneman and Tversky 1979) and was
recently transferred into the context of sports demand by Coates,
Humphreys, and Zhou (2014). The authors distinguish between two types of
utility that a consumer receives from attending a sporting event, that
is, "consumption" utility that corresponds to utility from
standard consumer theory and "gain-loss" utility that is
derived from differences between expected and actual game outcome.
According to their theoretical model, the UOH only emerges when the
marginal utility of an unexpected win exceeds the marginal utility of an
unexpected loss. When, however, the marginal utility of an unexpected
loss is larger than the marginal utility of an unexpected win, a
consumer exhibits loss aversion and derives more utility from the chance
to see an upset, which by definition requires a favorite team ex ante.
(6)
Second, fans might perceive closeness of a game in a different way
than how economists have tended to measure it due to the existence of
behavioral anomalies such as framing effects (Tversky and Kahneman
1981), attention level effects (Bernheim and Rangel 2009), or threshold
effects (Simon 1955). Though a consistent theoretical model
incorporating these anomalies does not exist, some recent evidence based
on data gathered in fan surveys suggests that such differences between
"perceived" uncertainty by the fans and
"objectively" (statistically) measureable uncertainty with
regard to the effect on demand might exist indeed (Nalbantis, Pawlowski,
and Coates 2015; Pawlowski 2013; Pawlowski and Budzinski 2013). While
these studies offer a new and interesting line of research, it remains
unclear, however, what previously developed subjective measures mean. In
this regard, perceived "suspensefulness of a game"--which is
the wording used in previous fan surveys--might proxy game uncertainty,
seasonal uncertainty (at the level of a single game), both dimensions,
or even further issues such as the quality of the contestants.
Third, given the fact that consumption depends upon the affective
dispositions of viewers towards the competing teams (Raney 2006), it may
be that the impact of game uncertainty is moderated by being a fan of
the home team, the visiting team, or neither the home nor the visiting
team (neutral spectator). Schreyer, Schmidt, and Torgler
(2016c)--addressing the attendance behavior of season ticket holders
(i.e., a specific type of home team fans) in the German
Bundesliga--provide partial support for this assumption. While their
results point towards a u-shaped relationship between home win
probabilities and the season ticket holders' decision to attend a
game, other game uncertainty measures suggest that season ticket holders
do care about game outcome uncertainty. Though the authors only have
access to a specific type of home team fans, their study provides some
initial empirical evidence on the importance of accounting for fan-team
relationships in further investigations.
Until now, considerable differences in the measurement of game
uncertainty as well as a lack of appropriate data made any attempt to
synthesize these plausible though different explanations for the lack of
support for the UOH--in particular with regard to game
uncertainty--impossible. While previous studies relying on secondary
data were unable to detect possible differences between subjective and
objective measures of game uncertainty, the major limitation of earlier
studies employing subjective measures is that it remains unclear what
these measures mean and how they relate to common objective measures.
Moreover, though it appears relevant to control for fan status in this
regard, no study previously looked at all different types of fans, that
is, home team fans, visiting team fans, or neutral spectators.
Our study tries bridging between these plausible though different
explanations by using data, representative for all soccer-interested
individuals in Germany and gathered in repeated surveys, to develop a
measure of perceived game uncertainty, which is closely related to a
common measure based on betting odds, and subsequently test its impact
on the consumers' intentions to watch soccer games live. The design
of both data collection and analysis enables us to test several
assumptions commonly thought to be problematic when employing a
stated-preference approach. Moreover, the data allow a distinction with
regard to fan status and therefore testing its (eventually) moderating
role of the relation between (perceived) game uncertainty and the demand
for sports.
II. DATA AND METHODOLOGY
A. Data Collection and Cleaning
Soccer-interested individuals (fans from now on) were randomly
recruited from a German-wide representative online panel provided by a
market research company. The first question served as a screen to
identify those with a minimum interest in soccer. Individuals
uninterested in soccer did not answer the questionnaire. The survey took
place in the days prior to two German Bundesliga matchdays (i.e., the
10th and 27th of the 2014-15 season). Fans were asked about all nine
games on the upcoming matchday, for a total of 18 games in the survey.
Matches in the first and second matchday pair the same teams (though
with home and away teams flipped) with the top game between Football
Club (FC) Bayern Munchen (FCB) and Borussia Dortmund (BVB; see Table 1).
This unique set-up allows gathering viewing intentions from all fans
about all games regardless of whether they are a fan of one of the
participating teams. Respondents who are neither a fan of the home nor
the visiting team in a given game are assumed to be "neutral
fans."
The link to the questionnaire of the second survey was initially
distributed only among those who had already participated in the first
survey to create a panel. Those respondents from the first survey who
did not respond in the second survey were replaced by randomly selected
new respondents. The overall objective was to have two samples with at
least 3,000 participants in each round and a certain overlap of
participants who filled in the questionnaire in both rounds. The total
number of completed surveys is 6,332 between both rounds (3,029 in the
first survey; 3,303 in the second survey). There are eight observations
where the ID of a respondent appears twice in the survey. These
observations concern respondents who encountered problems in their first
attempt to complete the questionnaire. Therefore, it was decided to
delete the (chronologically) first response of each respective
observation. Moreover, two observations do not have an identification
number and were consequently also deleted from the sample. Further
quality and consistency checks were employed as described in detail in
Appendix A. Finally, since several matches are played simultaneously and
the decision to watch any individual match live in the stadium can make
watching other matches impossible, we excluded the few stadium attendees
from our sample, that is, 220 from the first survey and 170 from the
second. (7) The final net sample used in our data analysis consists of
2,415 (2,686) observations in the first (second) survey.
To assess the generalizability of our results a useful study in
this context was conducted by SPORTFIVE (2009) examining a
representative sample of the total German population and providing
information about the distribution of gender and age as sorted by the
level of "general interest in soccer" and the "frequency
of attendance to a live professional soccer match in the current
season." The portion of females responding to the survey in our
study (first survey: 47%; second survey: 43%) is very much like the
SPORTFIVE (2009) sample (47%). Regarding age, again the respondents in
our sample seem to be on average comparable to the respondents in the
SPORTFIVE (2009) sample. In our study about 19% are less than 29 years
old (SPORTFIVE: 22%), 29% are between 30 and 40 years old (SPORTFIVE:
34%), and the remaining 51% are more than 50 years old (SPORTFIVE: 44%).
Unfortunately, no further variables are available for a comparison.
However, these figures suggest that our sample is representative with
regard to gender and age of the German population with a general
interest in soccer.
B. Measures
The fans' stated intention to watch a game "live on
TV" or "not live at all" serves as dependent variable in
our demand models. As mentioned before, we needed to exclude the few
stadium attendees from our sample and focus in the following on the
intention to watch any of the games live on TV (or not). A common
criticism of using such a stated-preference measure as proxy for demand
is that it is based on what people say rather than what people do. In
this regard, however, it is important to note the concreteness of (a)
the products under consideration, that is, specific soccer games, (b)
the choice scenario developed, that is, a few days prior to two
matchdays, and (c) the question asked, that is, "Will you be
watching game x live?" (with three possible answers being
"no," "yes, in the stadium," or "yes, on
TV"). This forces respondents to make a forecast about their
decision to consume a clearly defined product in the very near future.
While this does not rule out false statements in general, it limits the
number of possible reasons for false statements. More precisely, a
statement might be false because the respondent did not want to answer
correctly (liar) or because her plans have changed in the short time
period between when the survey was conducted and kick-off (switcher).
Since we are not interested in forecasting the total number of TV
viewers for any specific game but rather in discriminating between
viewers and non-viewers such false statements are not a problem as long
as they are randomly distributed among respondents. We do not see any
reason to believe that this assumption is violated.
The first uncertainty measure developed in our study follows
earlier studies on perceived competitive balance (PCB). The term PCB was
established by Pawlowski (2013) and Pawlowski and Budzinski (2013) and
their studies on perceived CB and suspense within a league. Nalbantis,
Pawlowski, and Coates (2015) used the same term for their study.
However, given the specific setting in Nalbantis, Pawlowski, and Coates
(2015), that is, a single game, as well as the temporal order of their
survey, that is, before the kick-off of a specific game, their ex-ante
measure is probably better described as perceived game suspense. We made
use of the latter term and accounted for the perceived
"suspensefulness" of the single games by asking the fans to
state on a scale of 0-10 (0 [equivalent to] not at all suspenseful ...
10 [equivalent to] very suspenseful) "How suspenseful do you think
the upcoming GAME will be?" Many scholars define suspense as an
experience of uncertainty. (8) In this regard, Mullet et al. (1994) note
that in a gambling context suspense reaches its peak when the
uncertainty as to the outcome of the gamble is at its highest (50% win
probability). In terms of a soccer game's outcome, it may be that a
fan perceives suspense at its maximum when the (perceived) likelihood of
a loss is more or less even with that of a win. However, uncertainty
over the outcome may not always be sufficient to generate feelings of
suspense regarding the match (Madrigal and Dalakas 2008; Ortony, Clore,
and Collins 1988). For instance, the exante uncertainty about the
outcome of a soccer game may not be intrinsically suspenseful, unless
the consequences of a win or loss are compelling. As such the hope of
winning the championship, securing a place in the Union of European
Football Associations (UEFA) club competitions, avoiding relegation or
the fear of failing to achieve these milestones--because of the
game's (uncertain) outcome--do also generate suspense. Therefore,
the perceived suspense-fulness of a game might be related not only to
game uncertainty, but also to seasonal uncertainty (at the level of a
single game) or both. Moreover, a game could also be suspenseful because
a coach or a player is on the verge of surpassing a milestone
(anticipation of record-breaking performance, becoming the league's
top goal scorer, etc.) or because the quality of the contestants is
perceived as being high. In general, what is suspenseful may be highly
idiosyncratic (Mullet et al. 1994).
In contrast to Nalbantis, Pawlowski, and Coates (2015) who used
data from just a single game, we have data for 18 games. Therefore, we
are able to compare this subjective measure with available objective
data about the games in order to apprehend (at group level) the link
between suspensefulness and game characteristics. As indicated by Figure
1, there is a strong negative correlation (for all games: r= -0.580;
without FCB vs. BVB: r= -0.857) between perceived game suspense and the
sum of the opponents' league ranks (prior to the matchday). This
negative correlation is consistent with the idea that the most
suspenseful games are between teams involved in the race for the
championship or the qualification places for the UEFA Champions League
and UEFA Europa League. Moreover, this measure seems to consist of a
notion of clubs' brand strengths given the fact that the top game
between FCB and BVB (with the highest average brand index, see Table 1)
is perceived to be the most suspenseful despite the rather poor
performance of Borussia Dortmund in the first half of the 2014-2015
season. In this regard it is indicative that the strong positive
correlation (all games: r = 0.769) between perceived suspense and the
average brand index of the contestants seems to be determined by this
particular game (without FCB vs. BVB: r = 0.288).
This assumption is further supported by comparisons between our
measure of perceived game suspense and different competition intensity
(CI) measures as proposed by Scelles et al. (2013a), Andreff and Scelles
(2015), and Scelles (2017). The correlations, provided in Appendix B,
indicate that games involving clubs which are in championship contention
are perceived as being more suspenseful than games involving clubs which
are in contention for other sub-competitions. Moreover, it appears that
perceived suspense may also reflect the quality of the contestants,
since games involving clubs which are closer to the relegation zone are
perceived as comparably less suspenseful.
Summing up, while we are unable to disentangle this further due to
the limited number of games under consideration, these simple
correlations suggest that (perceived) game suspense measures something
different than (perceived) game uncertainty and might be related rather
to seasonal uncertainty (at the level of a single game) as well as
quality and/or brand strength of contestants. Therefore, to fully
address game uncertainty in our setting and in order to compare our
findings with those studies using objective measures, we developed a
second measure, called perceived game uncertainty, with a novel approach
in our study.
Respondents were asked to state on a scale of 0-10 (0 [equivalent
to] away club will definitely win ... 10 [equivalent to] home club will
definitely win) "How likely do you think will be a home win in the
upcoming GAME?" The answers are interpreted as subjective home win
probabilities, which, with their squared terms, we include in the
regression models. Note that respondents' probability judgements
are based on beliefs about the properties of the games such as the
teams'/players' performance, etc. As such, a respondent's
prediction for game A does not affect her prediction for game B.
Therefore, the elicitation of home win predictions in our surveys is not
affected by a "conjunction fallacy" (Tversky and Kahneman
1983). Moreover, the behavioral economics and psychology literatures
find that subjective probabilities can be quite different than objective
probabilities, particularly for low probability events with which people
have little experience (Ungemach, Chater, and Stewart 2009). However,
the subjective home win probabilities in our survey are strongly
correlated (for all games: r = 0.889; without FCB vs. BVB: r = 0.879)
with objective home win probabilities derived from betting odds (see
Figure 1). Because our survey respondents are soccer fans it is likely
that they are well acquainted with the game and with the teams and,
therefore, are reasonably accurate, on average, in their perceptions of
the likelihood of the home team winning specific matches. Consequently,
we contend that this measure allows for a direct comparison with
previous findings in the literature using home win probabilities derived
from betting odds.
Since empirical evidence (e.g., Zillmann and Cantor 1977) shows
that a positive (negative) outcome is enjoyed (disliked) based on the
individual's disposition towards the protagonists and antagonists,
it is likely that there is a dispositional mediation of (perceived) game
uncertainty and suspense (Zillmann 1996; Schreyer, Schmidt, and Torgler
2016a, 2016b, 2016c). To take the potential moderating role of fanship
status into account, our models include interactions between the
variables of interest (i.e., perceived suspense and perceived home win
probability) and fanship status (home fan and away fan). Furthermore, we
control for socio-demographics (marital status, gender, age, and travel
distance from the venue hosting the game) and game dummies in the
models.
Table 2 reports the statistics, rounded to two decimals, of the
sample used separately for the first (second) matchday surveys. Overall,
2.6% (second survey: 1.7%) of the respondents are fans of the home team,
whereas 2.0% (2.5%) are fans of the visiting team. Moreover, 47% (43%)
are female. On average, a survey participant is 47 (48) years old and
lives about 372 (387) kilometers away from the venues hosting the games.
Furthermore, 25% (23%) of the respondents are single. For both
matchdays, the proportion of games that respondents state they intend to
watch live on TV is between 23% and 25%. Regarding games'
suspensefulness, on average, respondents rate the games as 5.6 (5.6) out
of 10. At the same time, the average rating of the likelihood of a home
win is about 5.9 (5.7) out of 10. As can be seen, there are hardly any
differences between the two survey rounds with regard to the descriptive
statistics. Finally, there are no substantial deviations with regard to
the descriptive statistics between the sample with and without
consistency-checked corrections (see Table A2 in Appendix A).
C. Empirical Strategy
The data gathering process as described before provides a panel
data set with nine observations per respondent and information about
each decision to watch (or not) any of the games live on TV. Pooled
logit models with individual clustered error terms and fixed effects
(FE) models were estimated for both matchdays. The major difference
between these approaches is that the FE models only use those
individuals who stated an intention to watch some (but not all or none)
of the matches live on TV while the pooled models use all individuals.
Though it is generally desirable to use all observations available,
including individuals for whom there is no variation in the decision to
view or not view despite variation in their perception of the home win
probability will downward bias the effect of home win probability.
Furthermore, while the pooled models allow controlling for available
individual characteristics in the data (i.e., marital status, age and
gender), the FE models wash out the influence of all of these individual
traits that are constant across matches. In this regard, the FE models
also purge any potential common method bias which might occur when
independent and dependent variables are gathered with the same
instrument as it was done here (for a discussion on this issue see
Antonakis et al. 2010).
III. RESULTS
As indicated by the results in Table 3, the influence of the
explanatory variables does not vary much--neither between the two
matchdays under consideration nor between the different econometric
specifications. In all models, perceived suspense is positively related
to the intention to watch a game live on TV while home win probability
is negatively and its square is positively related to the intention to
watch a game live on TV. As expected the pooled model coefficients are
closer to zero than the FE coefficients. In each case, the results imply
that the probability of watching the game live on TV is higher when the
game is perceived to be suspenseful. "Perceived game
suspense," however, is different from "perceived game
uncertainty" since the home win probability is also a significant
predictor of TV viewing intentions. Interestingly, the probability of
watching the game live on TV is higher when respondents strongly expect
either a home or an away team win (Figure 2). This contradicts the UOH
with regard to game uncertainty and is in line with previous studies
employing objective measures of game uncertainty.
This finding comes along with control variables showing plausible
signs. As expected, the home and away fans are actually more likely to
watch the game of their favorite team than are neutral fans. The
probability of viewing decreases with increasing age up to a certain
point after which the likelihood to watch the game live on TV increases
again. The same nonlinear pattern is also evident for the variable
measuring distance to the game venue. Interestingly, being single is
negatively associated with the likelihood of watching the game live on
TV, whereas being female has no statistically significant effect.
Finally, as expected there are game specific differences in viewing
behavior with the top game between FCB and BVB attracting the most fans.
(9)
To check the robustness of our results we re-estimated all models
described in this paper (1) without quality threshold, (2) with no
strict sample correction for "fan" and "age" as well
as (3) with subjective home win probabilities interacted with
"interest in the league" instead of fan status. All results
remain similar to the results in the paper. Importantly, the u-shaped
relation between subjective home win probabilities and the intention to
watch a game live on TV still exists. (10)
IV. CONCLUSION AND DISCUSSION
This study tries bridging between plausible though different
behavioral economic explanations for the lack of support of the
well-known UOH in sports. We develop and test a measure of perceived
game uncertainty that is comparable to objective measures frequently
tested in the literature. Overall, the findings suggest that the
probability of watching a soccer game live on TV is higher when
respondents expect a certain home or away team win. This is in line with
most previous studies employing objective measures of game uncertainty.
We conclude that the common finding that fans do not value game
uncertainty can be explained by fans exhibiting loss aversion with
regard to game uncertainty rather than differences between perceptions
and measurements of game uncertainty. In this regard, though home and
away fans are actually more likely to watch the game of their favorite
team than are neutral fans, we do not find any evidence of fanship
status being a moderator of the relation between game
uncertainty/suspense and the demand for sport.
Moreover, the paper finds that peoples' perception of the
suspense fulness of a game is distinct from their perception of the
relative strengths of the teams as the suspense variable and both the
home win probability and its square are all individually statistically
significant. The structure of our data allows comparing the developed
game uncertainty and suspense measures with objective data on different
characteristics of games and opponents. Results derived from simple
correlations and the fact that the coefficients on the suspense variable
are somewhat larger at the 27th matchday than at the 10th matchday are
both consistent with the idea that perceived suspense measures seasonal
uncertainty (unfold at the level of a single game) which is referred to
as Match Relevance, Decisiveness of a Game, the League Standing Effect,
or Competition Intensity in the literature. Moreover, perceived suspense
seems to capture also the quality of the contestants, since games
involving clubs which are closer to the relegation zone, are perceived
as less suspenseful. Exploring this more in depth, however, is the
subject of future research. In this regard, it also appears to be worth
exploring whether and how the notion of suspense as developed by Ely,
Frankel, and Kamenica (2015) is related to survey responses here and in
other studies focusing on the relation between game uncertainty and the
demand for sports. Moreover, it would be interesting and relevant to
test the relations between perceived game uncertainty, suspense, and the
demand for sport in other settings including different sports and
countries.
ABBREVIATIONS
BVB: Borussia Dortmund
CB: Competitive Balance
CI: Competition Intensity
FC: Football Club
FCB: FC Bayern Munchen
FE: Fixed Effects
PCB: Perceived Competitive Balance
UEFA: Union of European Football Associations
UO: Uncertainty of Outcome
UOH: Uncertaintv of Outcome Hypothesis
APPENDIX A: DATA AND MODELS QUALITY CORRECTIONS
The quality correction program of Questback (11) is able to
identify participants who simply "clicked through" based on
the time to fill in the answers. Since the number of questions a
participant has to answer might vary between participants, the time
required by a participant to complete the survey as a whole is not a
reasonable measure of "quality." Therefore, an individual
quality variable is calculated based on the time taken by the
participant to complete a particular page of the survey in relation to
the average processing time of the entire sample for this page. This
quality variable has a value of 0.5 if the corresponding user required
exactly the average time for processing the questionnaire pages. A value
of 0.25 signifies that the respondent needed only half as long as the
average processing time (per page) and so on.
Table Al provides the distribution of the quality variable
separately for each survey as well as for the total number of
participants. In general, it is recommended by Questback to carefully
check respondents with a quality threshold below 0.25. Since the
inclusion or exclusion of participants with a quality threshold below
0.25 would be arbitrary, we decided to estimate all models only with
data from respondents that passed the .25 quality threshold. The quality
corrected database contains 5,370 observations with 2,548 (2,822)
respondents participating in the first (second) survey.
CONSISTENCY-CHECKED CORRECTIONS
Taking advantage of the fact that a large portion of our sample
took part in both surveys (i.e., 2,248 participants are panelists) we
are able to perform some consistency checks in order to improve the
quality of the data. Any inconsistency among panelists can be attributed
either (a) to misstatements due to "slip-over" or
"in-hurry" responses, (b) to the fact that eventually a
different person from the same household responded, or (c) to the fact
that the respondent's status indeed changed between both survey
waves. The latter reason, however, seems plausible only for some
characteristics such as residence.
To check the consistency of responses in our sample we focus on
gender, age, nationality, residence, and the favorite club. The results
from these checks as well as our treatment of observed inconsistencies
are summarized in the following.
Gender. 51 out of 2,248 panelists reported a different gender in
the two survey waves. Six out of these 51 respondents differ only by
gender while age, nationality, residence, and the favorite club are the
same in both waves. Therefore, "gender" was recoded to
"missing" for these six observations. The remaining 45
panelists received a new ID for the second survey on the assumption that
a different person from the same household responded. This might occur
in rare cases according to Questback.
Age: 165 out of the 2,248 panelists reported a different age in the
two waves. Further analysis revealed that 30 panelists are trouble free
as they state different gender and already received a new ID for the
second survey. A further 21 out of these 165 respondents differ only by
age. In contrast to the gender question, the age question was designed
as "dropdown" and therefore inconsistent age responses might
be attributed to "slip-overs." Therefore, those 21 panelists
who only differ by age while gender, nationality, residence, and the
favorite club are the same in both waves received the mean value of both
stated age values (average difference: 4.9 years) in the two survey
rounds. For the remaining 114 panelists, "age" was recoded to
"missing" in those models estimated with strict sample
correction for "fan" and "age" (as indicated in the
notes below the tables that display the logit model estimates).
Nationality: 30 out of the 2,248 panelists reported a different
nationality in the different waves. Twenty of them switched between
"German" and "German plus a second nationality."
These 20 cases were recoded as "Germans" (i.e.. 0 [equivalent
to] not German; 1 [equivalent to] German). The others switched between
"German" and "other nationality." Therefore,
"nationality" was recoded to "missing" for these
observations.
Residence: 54 out of the 2,201 panelists with valid zip codes (some
zip codes were falsely specified) stated a residence which is more than
20 km away than the previous stated residence, whereas 2,037 stated
exactly the same zip code as before. We do not see any reason for
further corrections here as it may be that these 54 panelists were
moving houses or have intentionally stated a slightly modified zip
instead of the truthful one to protect privacy. Whatever the reason
behind this inconsistency is, the difference is either plausible (since
approximately 14% of the German population are moving houses, which
doubles the number of potential "movers" in our sample) or
negligibly small.
Favorite club: 436 out of the 2,248 panelists "changed their
club preference" between survey round one and two. At a first
glance, this sounds dramatic and worrisome. However, the following
explanation as well as the treatment for "switchers" as chosen
here might probably relax this issue. In general, 17 panelists are
trouble free as they state different gender and already received a new
ID for the second survey. One hundred and fifteen out of the remaining
419 panelists had no favorite Bundesliga club in survey round one and
switched to a favorite club in survey round two. Another 153 had a
favorite club in survey round one and switched to "no favorite
club" in survey round two. Both changes (from "no favorite
club" to "fan of a club" and from "fan of a
club" to "no favorite club") are generally plausible.
Therefore, these 268 out of the 2,248 panelists remain in the sample
with the differently stated club preference in each wave. For the
remaining 151 panelists, "favorite team" was recoded to
"missing" in those models estimated with strict sample
correction for "fan" and "age" (as indicated in the
notes below the tables that display the logit model estimates).
TABLE A1
Descriptive Statistics: Quality Variable
First Survey (10th matchday)
Quality Freq. Percent Cum.
0.03 4 0.13 0.13
0.04 5 0.17 0.3
0.05 2 0.07 0.36
0.06 12 0.4 0.76
0.07 6 0.2 0.96
0.08 13 0.43 1.39
0.09 13 0.43 1.82
0.1 18 0.6 2.41
0.11 19 0.63 3.04
0.12 21 0.69 3.74
0.13 23 0.76 4.5
0.14 12 0.4 4.89
0.15 26 0.86 5.75
0.16 15 0.5 6.25
0.17 31 1.02 7.27
0.18 36 1.19 8.46
0.19 40 1.32 9.79
0.2 39 1.29 11.07
0.21 38 1.26 12.33
0.22 30 0.99 13.32
0.23 39 1.29 14.61
0.24 35 1.16 15.77
[greater than or 2,548 84.24 100
equal to] 0.25
Total 3,025 100
Second Survey (27th matchday)
Quality Freq. Percent Cum.
0.03 0 0 0
0.04 3 0.09 0.09
0.05 6 0.18 0.27
0.06 7 0.21 0.49
0.07 8 0.24 0.73
0.08 10 0.3 1.03
0.09 17 0.52 1.55
0.1 8 0.24 1.79
0.11 21 0.64 2.43
0.12 16 0.49 2.91
0.13 18 0.55 3.46
0.14 24 0.73 4.19
0.15 21 0.64 4.82
0.16 23 0.7 5.52
0.17 34 1.03 6.55
0.18 28 0.85 7.4
0.19 38 1.15 8.55
0.2 38 1.15 9.71
0.21 30 0.91 10.62
0.22 37 1.12 11.74
0.23 44 1.33 13.07
0.24 44 1.33 14.41
[greater than or 2,822 85.62 100
equal to] 0.25
Total 3,297 100
Total
Quality Freq. Percent Cum.
0.03 4 0.06 0.06
0.04 8 0.13 0.19
0.05 8 0.13 0.32
0.06 19 0.3 0.62
0.07 14 0.22 0.84
0.08 23 0.36 1.2
0.09 30 0.47 1.68
0.1 26 0.41 2.09
0.11 40 0.63 2.72
0.12 37 0.59 3.31
0.13 41 0.65 3.95
0.14 36 0.57 4.52
0.15 47 0.74 5.27
0.16 38 0.6 5.87
0.17 65 1.03 6.9
0.18 64 1.01 7.91
0.19 78 1.23 9.14
0.2 77 1.22 10.36
0.21 68 1.08 11.44
0.22 67 1.06 12.5
0.23 83 1.31 13.81
0.24 79 1.25 15.06
[greater than or 5,370 84.95 100
equal to] 0.25
Total 6,322 100
TABLE A2
Sample Characteristics without Consistency
Checks and Quality Control
First Survey (10th matchday)
Sample Used in the
Pooled Models
M SD Min Max
Intention to watch a game 0.26 0.44 0 1
live on TV
Perceived suspense 5.57 2.71 0 10
Home team fan 0.04 0.21 0 1
Away team fan 0.03 0.18 0 1
Subj. home win probability 5.81 2.57 0 10
Single 0.26 0.44 0 1
Female 0.45 0.50 0 1
Age in years 45 15.29 17 78
Distance to the venue of the 373 195 0.5 944
home team by car (in km)
Second Survey (27th matchday)
Sample Used in the
Pooled Models
M SD Min Max
Intention to watch a game 0.25 0.43 0 1
live on TV
Perceived suspense 5.52 2.69 0 10
Home team fan 0.02 0.15 0 1
Away team fan 0.03 0.18 0 1
Subj. home win probability 5.59 2.57 0 10
Single 0.25 0.43 0 1
Female 0.43 0.50 0 1
Age in years 46 14.84 17 91
Distance to the venue of the 388 198 2.4 1,036
home team by car (in km)
First Survey (10th matchday)
Sample Used in the FE Models
M SD Min Max
Intention to watch a game 0.25 0.43 0 1
live on TV
Perceived suspense 5.60 2.67 0 10
Home team fan 0.05 0.22 0 1
Away team fan 0.04 0.19 0 1
Subj. home win probability 5.74 2.55 0 10
Single
Female
Age in years
Distance to the venue of the 376 196 1.4 930
home team by car (in km)
Second Survey (27th matchday)
Sample Used in the FE Models
M SD Min Max
Intention to watch a game 0.23 0.42 0 1
live on TV
Perceived suspense 5.61 2.62 0 10
Home team fan 0.03 0.16 0 1
Away team fan 0.04 0.19 0 1
Subj. home win probability 5.52 2.60 0 10
Single
Female
Age in years
Distance to the venue of the 388 198 2.42 1,023
home team by car (in km)
TABLE A3
Logit Model Estimates Including Game Dummies
First Survey
Dependent Variable: 1 If the (10th matchday)
Respondent Intends to Watch That
Game Live on TV, 0 Otherwise Pooled FE
Perceived suspense 0.195 *** 0.518 ***
(0.015) (0.026)
Home team fan x perceived suspense -0.132 *** -0.374
(0.046) (0.244)
Away team fan x perceived suspense -0.077 -0.354
(0.051) (0.466)
Home team fan 1.574 *** 6.260 **
(0.598) (2753)
Away team fan 1.316 ** 5.645
(0.513) (4.294)
Subj. home win probability -0.239 *** -0.438 ***
(0.039) (0.072)
Subj. home win probability squared 0.022 *** 0.043 ***
(0.004) (0.006)
Home team fan x subj. home win 0.139 0.421
probability (0.149) (0.572)
Home team fan x subj. home win -0.012 -0.040
probability squared (0.012) (0.047)
Away team fan x subj. home 0.010 14.917
win probability (0.111) (733.158)
Away team fan x subj. home win -0.003 -1.356
probability squared (0.011) (75.888)
Single -0.342 ***
(0.115)
Female -0.079
(0.084)
Age in years -0.032
(0.020)
Age squared 0.000
(0.000)
Distance to the venue of the home -0.001 *** -0.006 ***
team by car (in km) (0.000) (0.001)
Distance squared 0.000 ** 0.000 ***
(0.000) (0.000)
FC Bayern Munchen vs. 0.531 *** 2.623 ***
Borussia Dortmund (0.067) (0.196)
FC Schalke 04 vs. FC Augsburg 0.131 *** 0.647 ***
(0.040) (0.165)
Borussia M'gladbach vs. -0.002 0.570 ***
TSG 1899 Hoffenheim (0.043) (0.164)
1. FSV Mainz 05 vs. -0.036 -0.156
SV Werder Bremen (0.039) (0.179)
Hannover 96 vs. Eintracht Frankfurt 0.079 ** 0.080
(0.036) (0.175)
VfB Stuttgart vs. VfL Wolfsburg 0.048 0.137
(0.040) (0.173)
Hamburger SV vs. 0.043 0.606 ***
Bayer 04 Leverkusen (0.049) (0.171)
1. FC Koln vs. SC Freiburg 0.074 * 0.121
(0.038) (0.178)
Panel member
Constant -0.748
(0.463)
Observations 21,560 8,462
Number of clusters/ID 2,415 947
Log-likelihood -11,188.768 -1,318.799
Second Survey
Dependent Variable: 1 If the (27th matchday)
Respondent Intends to Watch That
Game Live on TV, 0 Otherwise Pooled FE
Perceived suspense 0.233 *** 0.586 ***
(0.013) (0.027)
Home team fan x perceived suspense -0.087 0.515
(0.068) (0.352)
Away team fan x perceived suspense -0.079 * -0.144
(0.044) (0.139)
Home team fan 1.295 35.464 **
(0.894) (17.728)
Away team fan 1.423 *** 3 945 ***
(0.432) (1.247)
Subj. home win probability -0.167 *** -0.453 ***
(0.035) (0.067)
Subj. home win probability squared 0.015 *** 0.042 ***
(0.003) (0.006)
Home team fan x subj. home win 0.084 -9.760 *
probability (0.194) (5.070)
Home team fan x subj. home win -0.008 0.654 **
probability squared (0.015) (0.330)
Away team fan x subj. home 0.120 0.580 *
win probability (0.092) (0.321)
Away team fan x subj. home win -0.014 -0.034
probability squared (0.010) (0.038)
Single -0.475 ***
(0.111)
Female 0.007
(0.081)
Age in years -0.062 ***
(0.020)
Age squared 0.001 ***
(0.000)
Distance to the venue of the home -0.000 -0.002 ***
team by car (in km) (0.000) (0.001)
Distance squared 0.000 0.000 ***
(0.000) (0.000)
FC Bayern Munchen vs. 0.314 *** 2.093 ***
Borussia Dortmund (0.061) (0.173)
FC Schalke 04 vs. FC Augsburg -0.050 0.373 **
(0.041) (0.168)
Borussia M'gladbach vs. -0.100 ** 0.171
TSG 1899 Hoffenheim (0.041) (0.172)
1. FSV Mainz 05 vs. 0.000 0.178
SV Werder Bremen (0.036) (0.174)
Hannover 96 vs. Eintracht Frankfurt 0.017 0.015
(0.036) (0.178)
VfB Stuttgart vs. VfL Wolfsburg 0.009 0.457 ***
(0.045) (0.169)
Hamburger SV vs. -0.010 0.464 ***
Bayer 04 Leverkusen (0.044) (0.167)
1. FC Koln vs. SC Freiburg -0.047 -0.012
(0.036) (0.179)
Panel member -0.217 **
(0.085)
Constant -0.585
(0.457)
Observations 24,035 9,300
Number of clusters/ID 2,686 1,038
Log-likelihood -12,115.727 -1,451.468
Notes: Matches in the second survey pair the same
teams with home and away teams flipped (reference
category: SC Paderborn 07 vs. Hertha Berlin). Models
are calculated with .25 quality threshold and strict
sample correction for "fan" and "age" (see Appendix A
for more information on this). Pooled models have been
estimated with clustered errors by individuals. FE, fixed
effects. Standard errors are given in parentheses.
Significance levels are: * p [less than or equal to] 10%,
** p [less than or equal to] 5%,
*** p [less than or equal to] 1%.
APPENDIX B: COMPETITION INTENSITY AND PERCEIVED SUSPENSE
Following Scelles et al. (2013a), Andreff and Scelles (2015), and
Scelles (2017) we calculated CI measures for all relevant
sub-competitions of the German Bundesliga, that is, the championship
race (first place), securing a place for UEFA Champions League
(second-fourth place) and UEFA Europa League (fifth-seventh place),
reaching a place for the relegation play-offs (16th place) and being on
the relegation zone (17th-18th place). The aforementioned CI studies
have so far only focused on the points needed to reach different
sporting prizes for the club which is the closest to a specific sporting
prize. Since we deal with TV audience, we modified this index by
including the sum of points needed to secure a sporting prize for both
clubs.
Since sporting prizes differ with regard to their attractiveness
and significance for the audience (Scelles et al. 2016), we implemented
weights as introduced by Kringstad and Gerrard (2005) measuring 1 for
the championship, 1/[1.5.sup.2] ([1/2.sup.2]) for qualifying for the
UEFA Champions League (UEFA Europa League), and [1/3.sup.2] for
relegation play-offs and direct relegation. Following Scelles et al.
(2013b) we constrained the temporal horizon for these calculations
andjust looked at whether (or not) a club is able to achieve a
particular sporting prize within the next three matchdays.
In Table B1, correlations with our perceived suspense measure are
reported for both unweighted and weighted CI measures as well as two
different versions: Version 1 considers the points' difference of a
club already achieving a sporting prize with the club closest to it.
Version 2 awards 0 point to all clubs which are already in a position
that secures them a sporting prize (i.e., they are awarded the highest
CI value). Importantly, a higher unweighted CI score denotes a lower
level of CI, whereas a higher weighted CI score denotes a higher level
of CI for a single game.
A first thing to notice is that the correlations between the CI
measures and perceived suspense are in general higher for the 27th
matchday than for the 10th matchday, which implies that suspense is
higher when more is at stake. All in all, the findings show that
perceived suspense is positively (negatively) correlated with the
weighted (unweighted) CI measures for the championship race. However,
there is a negative (positive) correlation with the weighted
(unweighted) CI measures for relegation (both play-off and direct
relegation) and only a weak correlation with the CI measures for the
European club competitions. These findings indicate that games involving
clubs which are in championship contention are perceived to be more
suspenseful, than games involving clubs which are in contention for all
other sub-competitions. Moreover, it seems that perceived suspense may
also reflect the quality of the contestants, since games involving clubs
which are closer to the relegation zone are perceived as being less
suspenseful.
TABLE B1
Correlation between Perceived Suspense and
Competition Intensity (CI) Measures
Unweighted CIs
Matchday CHAMP UCL UEL RPL REL
Version 1
Both -0.28 0.01 0.37 0.61 0.62
10th -0.32 -0.01 0.64 0.55 0.55
27th -0.75 0.10 0.52 0.84 0.85
Version 2
Both -0.37 -0.05 0.35 0.61 0.63
10 th -0.55 -0.34 0.70 0.54 0.55
27th -0.86 0.12 0.43 0.84 0.86
Weighted CIs
Matchday CHAMP UCL UEL RPL REL SUM
Version 1
Both 0.28 0.01 -0.17 -0.42 -0.41 0.05
10th 0.48 -0.10 -0.64 -0.21 -0.17 0.17
27th -- 0.03 0.16 -0.57 -0.58 -0.44
Version 2
Both 0.75 0.12 -0.15 -0.41 -0.42 0.49
10 th 0.73 0.30 -0.70 -0.21 -0.20 0.59
27th 0.94 -0.03 0.12 -0.57 -0.58 0.90
Notes: Reported are correlation coefficients. A higher
unweighted CI score denotes a lower level of CI, whereas
a higher weighted CI score denotes a higher level of CI for
a single game. CHAMP, champion; RPL, relegation play-offs;
SUM, sum of the weighted CI measures of all sub-competitions;
UCL, UEFA Champions League; UEL, UEFA Europa League; --, not
calculated due to the small number of clubs in contention.
APPENDIX C: APPROXIMATING MARGINAL EFFECTS IN THE FIXED EFFECTS
LOGIT MODEL
Let [y.sub.it] be a binary variable measuring the intention for i =
l, ..., N individuals to watch any of the t = 1, ..., T games live on TV
(or not). [x.sub.it] is a vector of explanatory variables (including
subjective home win probability [hwin.sub.it] and its squared term
[hwin.sup.2.sub.it]) and [[alpha].sub.i] is a term measuring individual
heterogeneity, that is, a fixed effect, such that
(A1) [mathematical expression not reproducible].
Then the marginal effect of interest can be calculated by computing
the derivative of the index function with respect to [hwin.sub.it] and
[hwin.sup.2.sub.it] for each observation, that is,
(A2) [mathematical expression not reproducible]
This can be re-written as
(A3) [mathematical expression not reproducible]
(A4) [mathematical expression not reproducible]
Equation (A4) cannot be estimated since the individual fixed
effects [[alpha].sub.i] are not consistently estimated in logit models.
However, by substituting for Pr([y.sub.it] = 1|[x.sub.it],
[[alpha].sub.i]) and Pr([y.sub.it] = 0|[x.sub.it], [[alpha].sub.i])
using the relative frequencies of intentions to watch (or not) any of
the games live on TV, we are able to approximate the discrete change in
the probability of TV viewership at each level of hwin, that is, the
predictive marginal probability. The predicted probability is then
calculated by subtracting the predictive marginal probability from each
hwin-specific portion of TV viewership.
APPENDIX D: ROBUSTNESS CHECKS
TABLE D1
Logit Model Estimates without Quality and
Consistency-Checked Corrections
First Survey
Dependent Variable: 1 If the (10th matchday)
Respondent Intends to Watch
That Game Live on TV, 0 Otherwise Pooled FE
Perceived suspense 0.202 *** 0.458 ***
(0.014) (0.025)
Home team fan X perceived suspense -0.130 *** -0.219 *
(0.028) (0.120)
Away team fan X perceived suspense -0.091 *** 0.018
(0.033) (0.140)
Home team fan 1.531 *** 4.669 ***
(0.361) (1.432)
Away team fan 1.639 *** 4 212 ***
(0.345) (1.493)
Subj. home win probability -0.264 *** -0.370 ***
(0.038) (0.069)
Subj. home win probability squared 0.023 *** 0.037 ***
(0.003) (0.006)
Home team fan x subj. home 0.183 * 0.291
win probability (0.098) (0.359)
Home team fan x subj. home -0.015 * -0.024
win probability squared (0.008) (0.030)
Away team fan x subj. home 0.032 -0.100
win probability (0.081) (0.429)
Away team fan x subj. home -0.004 0.023
win probability squared (0.008) (0.048)
Single -0.315 ***
(0.100)
Female -0.080
(0.075)
Age in years -0.027
(0.018)
Age squared 0.000
(0.000)
Distance to the venue of the -0.001 *** -0.005 ***
home team by car (in km) (0.000) (0.001)
Distance squared 0.000 ** 0.000 ***
(0.000) (0.000)
FC Bayern Munchen vs. 0.271 *** 2.403 ***
Borussia Dortmund (0.058) (0.190)
FC Schalke 04 vs. FC Augsburg 0.103 *** 0.643 ***
(0.036) (0.153)
Borussia M'gladbach vs. -0.036 0.641 ***
TSG 1899 Hoffenheim (0.038) (0.152)
1. FSV Mainz 05 vs. -0.048 -0.115
SV Werder Bremen (0.034) (0.165)
Hannover 96 vs. Eintracht Frankfurt 0.053 * 0.094
(0.032) (0.161)
VfB Stuttgart vs. VfL Wolfsburg 0.009 0.182
(0.035) (0.161)
Hamburger SV vs. -0.029 0.653 ***
Bayer 04 Leverkusen (0.045) (0.158)
1. FC Koln vs. SC Freiburg 0.069 ** 0.171
(0.033) (0.163)
Panel member
Constant -0.791 *
(0.418)
Observations 26,587 10,341
Number of clusters/ID 2,983 1,158
Log-likelihood -13,839.75 -1528.725
Second Survey
Dependent Variable: 1 If the (27th matchday)
Respondent Intends to Watch
That Game Live on TV, 0 Otherwise Pooled FE
Perceived suspense 0.238 *** 0.553 ***
(0.013) (0.024)
Home team fan X perceived suspense -0.090 ** -0.066
(0.045) (0.122)
Away team fan X perceived suspense -0.037 0.061
(0.033) (0.087)
Home team fan 1.457 ** 2.689
(0.582) (1.705)
Away team fan 0.774 ** 1.778 **
(0.323) (0.774)
Subj. home win probability -0.241 *** -0.444 ***
(0.033) (0.061)
Subj. home win probability squared 0.020 *** 0.041 ***
(0.003) (0.006)
Home team fan x subj. home 0.008 -0.450
win probability (0.139) (0.514)
Home team fan x subj. home -0.001 0.066
win probability squared (0.011) (0.042)
Away team fan x subj. home 0.164 ** 0.302
win probability (0.075) (0.223)
Away team fan x subj. home -0.017 ** -0.021
win probability squared (0.008) (0.026)
Single -0.466 ***
(0.097)
Female -0.032
(0.073)
Age in years -0.058 ***
(0.017)
Age squared 0.001 ***
(0.000)
Distance to the venue of the -0.000 -0.002 ***
home team by car (in km) (0.000) (0.001)
Distance squared 0.000 0.000 ***
(0.000) (0.000)
FC Bayern Munchen vs. 0.220 *** 1.922 ***
Borussia Dortmund (0.056) (0.154)
FC Schalke 04 vs. FC Augsburg -0.066 * 0.417 ***
(0.036) (0.151)
Borussia M'gladbach vs. -0.126 *** 0.196
TSG 1899 Hoffenheim (0.037) (0.154)
1. FSV Mainz 05 vs. 0.004 0.172
SV Werder Bremen (0.032) (0.156)
Hannover 96 vs. Eintracht Frankfurt 0.043 0.133
(0.033) (0.158)
VfB Stuttgart vs. VfL Wolfsburg -0.011 0.476 ***
(0.040) (0.152)
Hamburger SV vs. -0.015 0.475 ***
Bayer 04 Leverkusen (0.039) (0.151)
1. FC Koln vs. SC Freiburg -0.054 * -0.001
(0.033) (0.160)
Panel member -0.053
(0.080)
Constant -0.439
(0.398)
Observations 29,040 11,073
Number of clusters/ID 3,253 1,238
Log-likelihood -14,835.874 -1,835.524
Notes: Matches in the second survey pair the same
teams with home and away teams flipped (reference
category: SC Paderborn 07 vs. Hertha Berlin). Pooled
models have been estimated with clustered errors by
individuals. FE, fixed effects. Standard errors are
given in parentheses.
Significance levels are: * p [less than or equal to] 10%,
** p [less than or equal to] 5%, *** p [less than or equal to] 1%.
TABLE D2
Logit Model Estimates with Bundesliga Interest Interactions
First Survey
Dependent Variable: 1 If the (10th matchday)
Respondent Intends to Watch
That Game Live on TV, 0 Otherwise Pooled FE
Perceived suspense 0.258 *** 0.636 ***
(0.027) (0.045)
High Bundesliga interest x -0.110 *** -0.095 *
perceived suspense (0.030) (0.053)
High Bundesliga interest 1.462 ***
(0.337)
Subj. home win probability -0.286 *** -0.576 ***
(0.081) (0.132)
Subj. home win probability squared 0.027 *** 0.057 ***
(0.007) (0.012)
High Bundesliga interest x subj. 0.115 0.183
home win probability (0.090) (0.151)
High Bundesliga interest x subj. -0.012 -0.020
home win probability squared (0.008) (0.014)
Single -0.277 **
(0.116)
Female 0.129
(0.086)
Age in years -0.038 *
(0.020)
Age squared 0.000 *
(0.000)
Distance to the venue of the home -0.002 *** -0.007 ***
team by car (in km) (0.000) (0.001)
Distance squared 0.000 *** 0.000 ***
(0.000) (0.000)
FC Bayern Munchen vs. 0.778 *** 2.528 ***
Borussia Dortmund (0.070) (0.177)
FC Schalke 04 vs. FC Augsburg 0.164 *** 0.670 ***
(0.042) (0.159)
Borussia M'gladbach vs. TSG 1899 0.052 0.502 ***
Hoffenheim
(0.045) (0.158)
1. FSV Mainz 05 vs. -0.007 -0.053
SV Werder Bremen (0.040) (0.172)
Hannover 96 vs. Eintracht Frankfurt 0.095 ** 0.217
(0.037) (0.168)
VfB Stuttgart vs. VfL Wolfsburg 0.056 0.135
(0.041) (0.170)
Hamburger SV vs. Bayer 04 0.095 * 0.660 ***
Leverkusen (0.051) (0.164)
1. FC Koln vs. SC Freiburg 0.091 ** 0.306 *
(0.039) (0.169)
Panel member
Constant -1.700 ***
(0.515)
Observations 21,560 8,462
Number of clusters/ID 2,415 947
Log-likelihood -10,887.436 -1,507.088
Second Survey
Dependent Variable: 1 If the (27th matchday)
Respondent Intends to Watch
That Game Live on TV, 0 Otherwise Pooled FE
Perceived suspense 0.321 *** 0.702 ***
(0.024) (0.045)
High Bundesliga interest x -0.140 *** -0.071
perceived suspense (0.026) (0.053)
High Bundesliga interest 1.652 ***
(0.285)
Subj. home win probability -0.194 *** -0.761 ***
(0.071) (0.117)
Subj. home win probability squared 0.015 ** 0.075 ***
(0.007) (0.011)
High Bundesliga interest x subj. 0.082 0.309 **
home win probability (0.080) (0.136)
High Bundesliga interest x subj. -0.007 -0.034 ***
home win probability squared (0.007) (0.013)
Single -0.456 ***
(0.112)
Female 0.230 ***
(0.085)
Age in years -0.076 ***
(0.020)
Age squared 0.001 ***
(0.000)
Distance to the venue of the home -0.001 * -0.002 ***
team by car (in km) (0.000) (0.001)
Distance squared 0.000 * 0.000 ***
(0.000) (0.000)
FC Bayern Munchen vs. 0.540 *** 1.888 ***
Borussia Dortmund (0.065) (0.159)
FC Schalke 04 vs. FC Augsburg -0.029 0.412 **
(0.042) (0.162)
Borussia M'gladbach vs. TSG 1899 -0.090 ** 0.207
Hoffenheim
(0.043) (0.166)
1. FSV Mainz 05 vs. 0.024 0.285 *
SV Werder Bremen (0.037) (0.167)
Hannover 96 vs. Eintracht Frankfurt 0.035 0.103
(0.036) (0.172)
VfB Stuttgart vs. VfL Wolfsburg 0.082 * 0.386 **
(0.047) (0.164)
Hamburger SV vs. Bayer 04 0.078 * 0.504 ***
Leverkusen (0.045) (0.161)
1. FC Koln vs. SC Freiburg -0.034 0.151
(0.037) (0.171)
Panel member -0.141 *
(0.084)
Constant -1.508 ***
(0.504)
Observations 24,035 9,300
Number of clusters/ID 2,686 1,038
Log-likelihood -11822.567 -1,671.269
Notes: Matches in the second survey pair the same
teams with home and away teams flipped (reference
category: SC Paderborn 07 vs. Hertha Berlin); Bundesliga
interest is measured on 4-point scale. High interest = l(else 0)
if Bundesliga interest = 4; Models are calculated with .25 quality
threshold and strict sample correction for "fan" and "age"
(see Appendix A for more information on this). Pooled models
have been estimated with clustered errors by individuals.
FE. fixed effects. Standard errors are given in parentheses.
Significance levels are: * p [less than or equal to] 10%,
** p [less than or equal to] 5%, *** p [less than or equal to] 1%.
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(1.) See Fort and Quirk (1995) for a detailed introduction into
this topic.
(2.) In Section II, we will come back to the different
conceptualizations of seasonal uncertainty (at the level of a single
game) when discussing the uncertainty of outcome (UO) measures used in
this study.
(3.) A detailed overview on the in-stadium attendance literature
dealing with the relevance of the UOH in European professional football,
that is, soccer, is provided by Pawlowski (2013).
(4.) A detailed overview on the literature about the demand for
televised sports events and the relevance of the UOH is provided by
Nalbantis and Pawlowski (2016).
(5.) A comprehensive review of this literature is provided by
Budzinski and Pawlowski (2017).
(6.) Considering the economic theory of superstars (Adler 1985;
MacDonald 1988; Rosen 1981), it might well be that a favorite away team
attracts fans due to its strong brand and the opportunity to see star
players. In this regard, increasing attendance with decreasing home win
probability might be explained by fans either exhibiting loss aversion
(Coates, Humphreys, and Zhou 2014) or having a preference for strong
brands and superstars (Pawlowski and Anders 2012). However, in more
recent studies, a u-shaped relation between home win probabilities and
stadium attendance was found even when quality adjusted home win
probabilities are used (Humphreys and Zhou 2016) and/or visiting team
fixed effects are included (Coates, Humphreys, and Zhou 2014. Humphreys
and Zhou 2016).
(7.) On a regular matchday with games on Friday, Saturday, and
Sunday only four matches do not have competing matches occurring at the
same time: Friday there is only one game starting at 8.30 p.m., Saturday
there is a single game broadcast at 6.30 p.m. and Sunday there are two
match broadcast, one starting at 3.30 p.m. and done one starting at 5.30
p.m. The other five matches are regularly played on Saturday afternoon
at 3.30 p.m.
(8.) For an elaborated discussion about the definition of suspense
see Zillmann (1996). More recently, Ely, Frankel, and Kamenica (2015)
developed models distinguishing between suspense and surprise. Their
context is one in which information is revealed over time, and
individuals use that information to adjust their beliefs about the
future. The authors define suspense as "induced by variance in the
next period's beliefs" and surprise as "change from the
previous belief to the current one."
(9.) Results on game dummies are available in Appendix A Table A3.
(10.) Results are available in Appendix D Tables D1 and D2 as well
as Figures D1 and D2.
(11.) Questback. Enterprise Feedback Suite. EES Survey, version
9.1/1.2. Koln-Hurth: Questback GmbH, 2013.
TIM PAWLOWSKI, GEORGIOS NALBANTIS and DENNIS COATES *
* Earlier versions of this manuscript were presented at the XVII
April International Academic Conference on Economic and Social
Development in Moscow (Russia), at the 7th Conference of the European
Sports Economics Association (ESEA) in Zurich (Switzerland), at the 90th
Conference of the Western Economic Association International (WEAI) in
Honolulu (USA), and at 22nd University Day of the German Society of
Sport Science (DVS) in Mainz (Germany). We would like to thank
conference participants for their valuable comments. Special credit is
due to Jeff Borland for his valuable feedback on a preceding related
research project, Bernd Frick as discussant of an earlier version of
this paper, Nicolas Scelles for his feedback on how to calculate the
competition intensity indices, and Arne Feddersen for his help in
synthesizing the information on travel distances. We are grateful to two
anonymous referees and the Co-Editor Rob Simmons for their thorough
reviews and insightful suggestions. Any remaining errors and omissions
are ours alone.
Pawlowski: Professor, Institute of Sports Science, University of
Tubingen, 72074, Tubingen, Germany. Phone 49(0)7071-29-76544, Fax
49(0)7071-29-5031, E-mail tim.pawlowski@uni-tuebingen.de
Nalbantis: Research Assistant, Institute of Sports Science,
University of Tubingen, 72074, Tubingen, Germany. Phone
+49(0)7071-29-76545, Fax 49(0)7071-29-5031, E-mail
georgios.nalbantis@uni-tuebingen.de
Coates: Professor, Department of Economics, University of Maryland,
Baltimore County, Baltimore, MD 21250, Phone 1 410-455-2160, Fax 1
410-455-1054, E-mail coates@umbc.edu
doi: 10.1111/ecin.12462
Caption: FIGURE 1 Correlation between Subjective and Objective
Measures of "Suspense" and "Game Uncertainty"
Caption: FIGURE 2 Predicted (Marginal) Probability of Watching Live
for Subjective Home Win Probabilities
Caption: FIGURE D1 Predicted (Marginal) Probability of Watching
Live Based on Estimates in Table D1
Caption: FIGURE D2 Predicted (Marginal) Probability of Watching
Live Based on Estimates in Table D2
TABLE 1
Games Characteristics
# Home team (#rank) (a) Away Team (#rank) (a)
First survey (10th matchday)
1 FC Bayern Munchen (1) Borussia Dortmund (15)
2 FC Schalke 04 (12) FC Augsburg (9)
3 Borussia M'gladbach (2) TSG 1899 Hoffenheim (4)
4 1. FSV Mainz 05 (6) SV Werder Bremen (18)
5 Hannover 96 (7) Eintracht Frankfurt (11)
6 VfB Stuttgart (14) VfL Wolfsburg (3)
7 Hamburger SV (16) Bayer 04 Leverkusen (5)
8 1. FC Koln (10) SC Freiburg (17)
9 SC Paderborn 07 (8) Hertha Berlin (13)
Second survey (27th matchday)
10 Borussia Dortmund (10) FC Bayern Munchen (1)
11 FC Augsburg (6) FC Schalke 04 (5)
12 TSG 1899 Hoffenheim (7) Borussia M'gladbach (3)
13 SV Werder Bremen (9) 1. FSV Mainz 05 (11)
14 Eintracht Frankfurt (8) Hannover 96 (14)
15 VfL Wolfsburg (2) VfB Stuttgart (18)
16 Bayer 04 Leverkusen (4) Hamburger SV (16)
17 SC Freiburg (15) 1. FC Koln (12)
18 Hertha Berlin (13) SC Paderborn 07 (17)
Kick-off
# Home team (#rank) (a) (time/day) Obj. (b)
First survey (10th matchday)
1 FC Bayern Munchen (1) 18:30 Saturday 64.1%
2 FC Schalke 04 (12) 20:30 Friday 49%
3 Borussia M'gladbach (2) 15:30 Sunday 47.8%
4 1. FSV Mainz 05 (6) 15:30 Sunday 53.1%
5 Hannover 96 (7) 15:30 Sunday 41.3%
6 VfB Stuttgart (14) 15:30 Sunday 29.8%
7 Hamburger SV (16) 15:30 Sunday 26.3%
8 1. FC Koln (10) 17:30 Saturday 50%
9 SC Paderborn 07 (8) 17:30 Saturday 36.4%
Second survey (27th matchday)
10 Borussia Dortmund (10) 18:30 Saturday 28%
11 FC Augsburg (6) 15:30 Sunday 39%
12 TSG 1899 Hoffenheim (7) 15:30 Saturday 35.8%
13 SV Werder Bremen (9) 15:30 Saturday 39.3%
14 Eintracht Frankfurt (8) 15:30 Saturday 47.7%
15 VfL Wolfsburg (2) 15:30 Saturday 65.4%
16 Bayer 04 Leverkusen (4) 15:30 Saturday 70.3%
17 SC Freiburg (15) 15:30 Saturday 36.2%
18 Hertha Berlin (13) 17:30 Sunday 48.6%
# Home team (#rank) (a) Subj. (c) Suspense (c)
First survey (10th matchday)
1 FC Bayern Munchen (1) 6.7 8.3
2 FC Schalke 04 (12) 6.6 5.4
3 Borussia M'gladbach (2) 6.7 6.1
4 1. FSV Mainz 05 (6) 6.5 5.1
5 Hannover 96 (7) 5.7 5.1
6 VfB Stuttgart (14) 4.9 5.4
7 Hamburger SV (16) 3.7 5.7
8 1. FC Koln (10) 6.3 4.8
9 SC Paderborn 07 (8) 5.6 5.1
Second survey (27th matchday)
10 Borussia Dortmund (10) 4.4 8.3
11 FC Augsburg (6) 4.6 5.7
12 TSG 1899 Hoffenheim (7) 4.2 5.6
13 SV Werder Bremen (9) 6.1 5.2
14 Eintracht Frankfurt (8) 5.9 4.9
15 VfL Wolfsburg (2) 7.3 5.4
16 Bayer 04 Leverkusen (4) 7.2 5.5
17 SC Freiburg (15) 5.2 5.0
18 Hertha Berlin (13) 6.1 4.6
[phi] Brand
# Home team (#rank) (a) Index (d) Result
First survey (10th matchday)
1 FC Bayern Munchen (1) 62.3 2-1
2 FC Schalke 04 (12) 53.4 1-0
3 Borussia M'gladbach (2) 46.8 3-1
4 1. FSV Mainz 05 (6) 51.6 1-2
5 Hannover 96 (7) 47.6 1-0
6 VfB Stuttgart (14) 46.2 0-4
7 Hamburger SV (16) 49.7 1-0
8 1. FC Koln (10) 49.9 0-1
9 SC Paderborn 07 (8) 38.7 3-1
Second survey (27th matchday)
10 Borussia Dortmund (10) 62.3 0-1
11 FC Augsburg (6) 53.4 0-0
12 TSG 1899 Hoffenheim (7) 46.8 1-4
13 SV Werder Bremen (9) 51.6 0-0
14 Eintracht Frankfurt (8) 47.6 2-2
15 VfL Wolfsburg (2) 46.2 3-1
16 Bayer 04 Leverkusen (4) 49.7 4-0
17 SC Freiburg (15) 49.9 1-0
18 Hertha Berlin (13) 38.7 2-0
%
# Home team (#rank) (a) Tickets (e) Capacity (f)
First survey (10th matchday)
1 FC Bayern Munchen (1) 71,000 99.8
2 FC Schalke 04 (12) 60,954 98.4
3 Borussia M'gladbach (2) 52,409 97
4 1. FSV Mainz 05 (6) 31,017 91.2
5 Hannover 96 (7) 42,200 86.1
6 VfB Stuttgart (14) 50,000 82.7
7 Hamburger SV (16) 52,990 92.3
8 1. FC Koln (10) 49,500 99
9 SC Paderborn 07 (8) 14,630 97.5
Second survey (27th matchday)
10 Borussia Dortmund (10) 80,667 100
11 FC Augsburg (6) 30,660 100
12 TSG 1899 Hoffenheim (7) 30,150 100
13 SV Werder Bremen (9) 41,000 97.4
14 Eintracht Frankfurt (8) 49,600 96.3
15 VfL Wolfsburg (2) 30,000 100
16 Bayer 04 Leverkusen (4) 30,210 100
17 SC Freiburg (15) 23,800 99.2
18 Hertha Berlin (13) 44,031 59.3
(a) Rank in the league table prior to
the matchday under consideration.
(b) Objective home win probabilities derived from
average margin-corrected betting odds
(source-football-data co uk)
(c) Subjective home win probabilities calculated
as sample mean values of responses to the question
"How likely do you think will there be a home win
in the upcoming GAME?" (0 [equivalent to] away club
will definitely win ... 10 [equivalent to] home club
will definitely win) with the sample applying the
.25 quality threshold and strict sample correction
for "fan" and "age" (see Appendix A for more
information on this).
(d) Average brand index of the opponents in the game
(source: Woisetschlager et al. 2014).
(e) Sold tickets for the game under consideration
(source: weltfussball.de).
(f) Percentage of stadium capacity utilization
(source: bundesliga.com).
TABLE 2
Sample Characteristics
First Survey (10th matchday)
Sample Used in the
Pooled Models
M SD Min Max
Intention to watch a game 0.25 0.43 0 1
live on TV
Perceived suspense 5.64 2.67 0 10
Home team fan 0.03 0.16 0 1
Away team fan 0.02 0.14 0 1
Subj. home win probability 5.88 2.56 0 10
Single 0.25 0.43 0 1
Female 0.47 0.50 0 1
Age in years 47 15.38 18 78
Distance to the venue of the 373 195 0.5 938
home team by car (in km)
Second Survey
(27th matchday)
Sample Used in the
Pooled Models
M SD Min Max
Intention to watch a game 0.24 0.43 0 1
live on TV
Perceived suspense 5.58 2.67 0 10
Home team fan 0.02 0.13 0 1
Away team fan 0.03 0.16 0 1
Subj. home win probability 5.67 2.58 0 10
Single 0.23 0.42 0 1
Female 0.43 0.50 0 1
Age in years 48 14.65 17 71
Distance to the venue of the 387 198 2.4 1,036
home team by car (in km)
First Survey (10th matchday)
Sample Used in the Fixed
Effects (FE) Models
M SD Min Max
Intention to watch a game 0.24 0.43 0 1
live on TV
Perceived suspense 5.63 2.70 0 10
Home team fan 0.03 0.17 0 1
Away team fan 0.02 0.14 0 1
Subj. home win probability 5.80 2.56 0 10
Single
Female
Age in years
Distance to the venue of the 375 196 1.4 923
home team by car (in km)
Second Survey
(27th matchday)
Sample Used in the Fixed
Effects (FE) Models
M SD Min Max
Intention to watch a game 0.23 0.42 0 1
live on TV
Perceived suspense 5.65 2.62 0 10
Home team fan 0.02 0.14 0 1
Away team fan 0.03 0.17 0 1
Subj. home win probability 5.58 2.62 0 10
Single
Female
Age in years
Distance to the venue of the 389 197 2.42 1,023
home team by car (in km)
TABLE 3
Logit Model Estimates
First Survey
Dependent Variable: 1 If the (10th matchday)
Respondent Intends to Watch That
Game Live on TV, 0 Otherwise Pooled FE
Perceived suspense 0.195 *** 0.518 ***
(0.015) (0.026)
Home team fan x perceived suspense -0.132 *** -0.374
(0.046) (0.244)
Away team fan x perceived suspense -0.077 -0.354
(0.051) (0.466)
Home team fan 1.574 *** 6.260 **
(0.598) (2753)
Away team fan 1.316 ** 5.645
(0.513) (4.294)
Subj. home win probability -0.239 *** -0.438 ***
(0.039) (0.072)
Subj. home win probability squared 0.022 *** 0.043 ***
(0.004) (0.006)
Home team fan x subj. 0.139 0.421
home win probability (0.149) (0.572)
Home team fan x subj. home -0.012 -0.040
win probability squared (0.012) (0.047)
Away team fan x subj. 0.010 14.917
home win probability (0.111) (733.158)
Away team fan x subj. home -0.003 -1.356
win probability squared (0.011) (75.888)
Single -0.342 ***
(0.115)
Female -0.079
(0.084)
Age in years -0.032
(0.020)
Age squared 0.000
(0.000)
Distance to the venue of the -0.001 *** -0.006 ***
home team by car (in km) (0.000) (0.001)
Distance squared 0.000 ** 0.000 ***
(0.000) (0.000)
Game dummies Included Included
Panel member
Constant -0.748
(0.463)
Observations 21,560 8,462
Number of clusters/ID 2,415 947
Log-likelihood -11,188.768 -1,318.799
Second Survey
Dependent Variable: 1 If the (27th matchday)
Respondent Intends to Watch That
Game Live on TV, 0 Otherwise Pooled FE
Perceived suspense 0.233 *** 0.586 ***
(0.013) (0.027)
Home team fan x perceived suspense -0.087 0.515
(0.068) (0.352)
Away team fan x perceived suspense -0.079 * -0.144
(0.044) (0.139)
Home team fan 1.295 35.464 **
(0.894) (17.728)
Away team fan 1 423 *** 3.945 ***
(0.432) (1.247)
Subj. home win probability -0.167 *** -0.453 ***
(0.035) (0.067)
Subj. home win probability squared 0.015 *** 0.042 ***
(0.003) (0.006)
Home team fan x subj. 0.084 -9.760 *
home win probability (0.194) (5.070)
Home team fan x subj. home -0.008 0.654 **
win probability squared (0.015) (0.330)
Away team fan x subj. 0.120 0.580 *
home win probability (0.092) (0.321)
Away team fan x subj. home -0.014 -0.034
win probability squared (0.010) (0.038)
Single -0.475 ***
(0.111)
Female 0.007
(0.081)
Age in years -0.062 ***
(0.020)
Age squared 0.001 ***
(0.000)
Distance to the venue of the -0.000 -0.002 ***
home team by car (in km) (0.000) (0.001)
Distance squared 0.000 0.000 ***
(0.000) (0.000)
Game dummies Included Included
Panel member -0.217 **
(0.085)
Constant -0.585
(0.457)
Observations 24.035 9,300
Number of clusters/ID 2,686 1,038
Log-likelihood -12,115.727 -1,451.468
Notes: Models are calculated with .25 quality threshold
and strict sample correction for "fan" and "age" (see
Appendix A for more information on this). Pooled models
have been estimated with clustered errors by individuals.
FE, fixed effects. Standard errors are given in parentheses.
Significance levels are: * p [less than or equal to] 10%,
** p [less than or equal to] 5%, *** p [less than or equal to] 1%.
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