Trade protection and the role of campaign contributions in U.S. food and tobacco industries.
Lopez, Rigoberto A. ; Pagoulatos, Emilio
To exert political pressure, an organization must be capable of
obtaining contributions from its members for lobbying activities. For
this reason, past studies analyzing the determinants of political
outcomes such as tariffs (such as Caves [1976]; Lavergne [1983];
Saunders [1980]; Salamon and Siegfried [1977]; Ray [1981a; 1981b]) have
used an industry's structural characteristics, such as the number
of firms and the sales concentration ratio, to account for political
activity. More recently, Baldwin [1989], among other economists, has
advocated the study of more direct indicators of lobbying, such as
political funding levels and the number of employees supported by
private interests.
The importance of lobbying activity in determining the levels of
trade protection depends upon the responsiveness of government to such
activity. Bhagwati [1989] distinguishes two types of government
behavior, passive behavior and self-willed behavior. Under the first
type, policymakers maximize political support and will be more likely to
respond to lobbying activity.(1) However, if behavior is driven by
self-willed principles, then policymakers will make choices that reflect
the needs of their constituents and will be less susceptible to
special-interest group pressures.
Viewed from the perspective of an industry that is willing to spend
resources in order to influence political outcomes, contributions to
political candidates can have a facilitative and/or a persuasive
role.(2) Under a facilitative role, campaign contributions are merely a
transaction cost for granting access and enabling the industry to inform
politicians about the industry's needs. In this case, the industry
structural characteristics are what lend political weight. Under a
persuasive role, campaign contributions are independently effective in
influencing political outcomes, regardless of the industry's
structural attributes. Combining the latter role with the passive
government behavior discussed above gives rise to models of exchange and
political investment, as in the work of Peltzman [1976].
Concern over identifying the determinants of trade barriers and the
role of campaign contributions in particular follow from three
considerations. The first consideration is efficiency. If institutional
arrangements encourage lobbying as a means of influencing policy
choices, then a significant waste of resources may occur through
competition in the political arena.(3) Lobbying, therefore, may result
in a decline of overall economic efficiency. The second consideration is
the dominance of special interests over social concerns. The arguments
for protection often include protection of jobs and unfair competition,
which may differ from the factors that drive the policy decisions, such
as the strength of special interest lobbying. The third consideration is
redistributional justice. A significant redistribution of wealth may
occur as trade barriers increase prices and domestic industry profits at
the expense of domestic consumers.
The objectives of this article are twofold. The first objective is to
explain the variation of the level of trade barriers (tariffs and
import-quota tariff equivalents). These will be explained in terms of
industry structure characteristics (number of firms, seller
concentration, and geographic dispersion), comparative disadvantage, and
lobbying activities, using data from the U.S. food and tobacco
manufacturing industries for the empirical analysis. The second
objective is to ascertain the role and importance of lobbying activities
in determining the levels of trade barriers. A novel feature of this
article is that it incorporates more direct measures of lobbying
activity, such as the contributions of Political Action Committees
(PACs) associated with the industries affected by the trade barriers. It
also emphasizes the need to consider contributions and protection
together in order to capture the exchange between political investments
and income transfers as shown in Snyder [1990].
The first section of this paper presents the conceptual framework for
analyzing the economics and politics of trade barrier formation. The
second section discusses the data and econometric specification, and the
third section analyzes the empirical results. Brief concluding remarks
appear in the final section.
I. CONCEPTUAL FRAMEWORK
A framework widely accepted and used by economists and political
scientists to analyze the determinants of trade barriers is one that
conceptualizes them within a political market for protection.(4) In this
framework, therefore, domestic producers can be viewed as the
"demanders" of trade protection, and government legislators
and bureaucrats as the "suppliers." As argued by Magee, Brock,
and Young [1989], a complete model of policy determination should have
both policy decisions and lobbying activity as choice variables. By
combining both sides of the political market for protection, the model
presented draws from the work of Peltzman [1976], in which political
investments and income transfers are exchanged.
The demand side of protection relies on the theory of rent-seeking
(surveyed by Tollison [1982]; and Brooks and Heijdra [1989]) and focuses
on the determinants of campaign contributions. Tariffs and import quotas artificially increase the price of commodities while restricting foreign
entry, thus generating rents, or slowing or preventing the demise of a
domestic industry. These rents provide the incentives for demanding
trade protection through lobbying activities. Since industrial trade
policy can be viewed as a public good, a common-interest group
advocating such a policy needs to overcome the free rider problem typically present in raising lobbying funds. Olson [1965] provides the
key theoretical insights for overcoming the free rider problem by
emphasizing the role of industry structure.
The supply side of trade protection is based on the theory of
endogenous protection developed by Baldwin [1989]; Bhagwati [1982];
Hillman [1989]; Magee, Brock, and Young [1989]. Past empirical studies,
such as Caves [1976]; Saunders [1980]; Ray [1981a; 1981b] have used
several industry characteristics as proxies for political activity that
results in political outcomes such as tariffs. Esty and Caves [1983]
point out that the exclusion of political contributions would not be
serious if all PAC contributions do is to facilitate the communication
of the industry's needs to policymakers. However, the omission of
political contributions will undermine the analysis to the extent that
these contributions have an independent role in influencing policy
choices. Besides the issue of whether PAC contributions have a
facilitative or persuasive role (or both), PAC contributions are not the
only component of the lobbying activity of interest groups. Also, not
all PAC contributions are aimed at trade protection alone. It is,
therefore, important to continue using measures like industry
characteristics as explanatory variables, in addition to PAC
contributions.
Two broad categories of factors determining both the level of
campaign contributions and the level of protection are suggested by the
literature: industry structure and campaign contributions by those
supporting and opposing trade protection. In addition, comparative
advantage factors also determine the need for protection.
Industry Characteristics
Industry characteristics are represented by market concentration, the
number of firms, the size of the industry, and geographic dispersion.
The focus of previous work has been on the impact of market
concentration on campaign contributions and protection.
From the standpoint of a demand for protection, Olson's [1965]
conclusion is that concentrated industries are better able to curtail free riding and incur lower organization costs; they are, therefore,
more successful in raising funds for a protectionist lobby. However,
much of the empirical evidence is mixed in this regard. Esty and Caves
[1983], Zardkoohi [1985], Munger [1988], and Zaleski [1992] find the
impact of concentration to be statistically insignificant or negatively
associated with the level of campaign contributions. The typical
explanation is that highly concentrated industries might exhibit either
market power or political efficiency, which results in less favorable public policies or a need to rely less on political contributions. On
the other hand, Pittman [1976] and Grier, Munger and Roberts [1991] have
found a positive association between industrial concentration and
political contributions that support Olson's argument.
From a policymaker's perspective, the more deconcentrated the
industry is (i.e., more competitive), the greater the political support
will be in terms of the number of votes.(5) By properly controlling for
PAC contributions, one should establish a negative relationship between
industry concentration and the level of trade barriers. In terms of the
size of the industry, increases in the size of the industry could result
in either greater political power or an increased likelihood of adverse
policy reactions as shown by Esty and Caves [1983], Cahan and Kaempfer
[1992], and Salamon and Siegfried [1977].
We adopt the conceptual framework suggested by Magee, Brock, and
Young [1989] for assessing the impact of industry structure and the size
of the industry on campaign contributions and the level of protection.
Magee, Brock, and Young [1989, ch. 6] advocate the use of a lobbying
"power function" measure, where what matters is the
interaction between industry concentration and sales. More specifically,
the "power function" defines the degree of incentives for
campaign contributions and is equal to the Herfindahl index times total
industry sales. The first component captures the disincentives for free
riding; the second is a proxy for the size of the jackpot benefits
expected for a given tariff or tariff equivalent. The implication is
that concentration and industry sales do not have independent, but
rather, interactive effects upon the level of lobbying expenditures.
The impact of the number of firms on the level of trade protection is
ambiguous. For instance, Godek [1985] argues that the number of firms
should be negatively related to trade protection. On the other hand,
Peltzman [1976] argues that granting trade protection to an industry
with a large number of firms could increase the political pay-off by
increasing the number of political votes.
Geographic dispersion affects both organizational cost for lobbying
purposes and its geopolitical representation. A high geographic
concentration, which characterizes regional or localized industries,
implies lower lobbying costs but lack of representation in Congress. If
the lobbying cost effect dominates, then the more spatially concentrated
the industry is, the higher the level of campaign contributions. The
opposite should be expected if the representation effect dominates,
whereby geographic representation acts as a substitute for campaign
contributions because it lowers the need to rely on campaign
contributions to influence policy. The empirical results have been mixed
in terms of whether geographic concentration or dispersion lead to more
campaign contributions.(6)
Campaign Contributions
An industry's campaign contributions are likely to be affected
by the lobbying efforts of other industries that may benefit or be
harmed by trade protection. Domestic industries selling to the sector in
question will support protection in that sector as demand for their
products expands, while industries buying from the sector will oppose
protection as the price for their input increases. Thus, one expects to
observe supporting PAC contributions from the former and opposing PAC
contributions from the latter. It is expected that supporting PAC
contributions are negatively related to a sector's PAC
contributions (a complementary effect) while opposing PACs raise the
stakes and positively relate to those contributions (a substitute
effect). Esty and Caves [1983] empirically confirmed the latter effect,
suggesting that the opposition raises the amount of lobbying resources
employed by a given industry. Also, as shown theoretically by Grossman
and Helpman [1994], each lobby pays according to the political strength
of its rival.
The significance of PAC contributions as a determinant of trade
protection, once industry structure is taken into account, depends on
whether PACs have a facilitative or independent role, as Esty and Caves
[1983] observe. Many authors subscribe to the notion that PAC
contributions simply have a surrogate impact or facilitating/access role
in the legislative process (Welch [1982], Grenske [1989], Wilhite and
Theilmann [1987], and Chappell [1982]) or other political outcomes (Esty
and Caves [1983]). Others conclude that contributions by PACs are
important determinants of political outcomes (Stratmann [1991]).
Following Becker [1983], the political influence of interest groups
is a relative concept, in that the impact of one interest group depends
on the strengths of other interest groups, which either oppose or
support the same political outcomes. Supporting PAC contributions are
expected to have a positive impact on trade barriers of a given sector,
while opposing PAC's contributions will tend to lower those
barriers. This argument is theoretically supported by Grossman and
Helpman [1994] in that lobbies that face less opposition are more
successful in extracting surplus from its political relationship with
the government.
Although the United States has no explicit policy programs toward
food manufacturing as it does for the farm sector (e.g., the multi-year
Farm Bill), protection at the food processing level may be needed in
order to support farm policies, like the sugar and milk policy programs.
In addition, the farm lobby is likely to seek food processing trade
barriers, because the farm industry is often forward-integrated into
processing and/or because food manufacturing is an important outlet for
farm products. On the output side, an important determinant of
countervailing lobbying is the importance of the commodity in question
as an input into other industries. Since industries are likely to be
more organized than consumers, trade protection on finished or consumer
products is likely to face less opposition and face higher levels of
protection than intermediate goods as a result. In the framework of this
article, these factors are captured by opposing and supporting PAC
contributions.
Comparative Advantage
In general, comparative advantage is negatively associated with trade
barriers.(7) For internationally competitive industries, Lavergne [1983]
shows that import trade barriers are likely to be redundant or
ineffective if an industry is export-oriented to start. In sum,
political behavior is often characterized by concern for re-election,
i.e., the maximization of votes (Becker [1983] and Peltzman [1976]), or
concern for social welfare (principled behavior). If behavior is
characterized by vote-seeking, then policymakers or bureaucrats will
make choices to balance political support from conflicting interest
groups within their geopolitical arena. Thus, to some extent, they will
take into account the interests of consumers and will be concerned with
public opinion regarding protection through trade barriers. However,
Baldwin [1989] notes that if behavior is driven by societal principles,
then policy-makers will make choices that reflect the social consensus
on income distribution, employment, and social goals in general.
II. EMPIRICAL MODEL SPECIFICATION
The objective of our data analysis is to determine the influence of
market structure characteristics, comparative advantage, and lobbying on
the inter-industry pattern of campaign contributions and trade barriers
within U.S. food and tobacco manufacturing. The dependent variable
representing an industry's PAC contributions (PAC) was measured by
the total dollars contributed to the 1987-88 congressional elections
from the PACs associated with that industry.(8) The PAC spending data
came from Makinson [1990]. The dependent variable representing the
degree of trade protection (T) used in this study was the simple average
U.S. nominal tariff rate based on the c.i.f. value of imports at the
four-digit SIC level for 1987. The tariff rates were obtained from a
computer tape supplied by the U.S. International Trade Commission. In
those industries where import quotas were the main instrument of
protection, their tariff equivalents were used and obtained from recent
International Trade Commission reports (U.S. International Trade
Commission [1990a; 1990b]).(9)
Market structure is represented by three variables: the lobbying
power measure (Herfindahl index (H) times value of shipments (Vs)
suggested by Magee, Brock, and Young [1989], the number of firms (N),
and geographic dispersion (Geo). Following Peltzman [1976], the number
of beneficiaries is expected to have a nonlinear impact on trade
barriers. Thus ([N.sup.2]) was included to capture any nonlinearities of
the impact of the number of firms on trade protection decisions and on
campaign contributions. All market structure variables came from the
1987 Census of Manufacturers (U.S. Department of Commerce [1990;
1991a]). Finally, to capture the geo-political distribution of support
for a particular industry, we included a variable (Geo) that was
computed as a Herfindahl index of spatial concentration of production by
adding the squared shares of value of shipments of each state obtained
from the U.S. Department of Commerce [1991a].
Lobbying by other organizations affected by trade protection in a
specific food manufacturing industry was measured by the total
contributions of supporting PACs (industries selling to the sector) and
opposing PACs (industries buying from the sector). The total dollars
contributed by those industries to the 1987-88 congressional candidates
were weighed by the input-output coefficients. Given that there is a set
of well-classified industries for which the tariff equivalents for
import quotas have been used, and since there are political and economic
differences between the use of tariffs and quotas, a slope quota-dummy
(Quota) on PAC contributors is introduced.(10) This variable measures
the effectiveness of rent-seeking toward the end of obtaining
quantitative restrictions. As before, all PAC contributions from
supporting PACs (Spac) and opposing PACs (Opac) came from Makinson
[1990], while the input-output coefficients came from U.S. Department of
Commerce [1991b].
To control for comparative advantage, we included three variables:
growth in employment (Ge), value-added per employee (Vae), and export
share (Xs). The growth in employment variable was defined as the change
in employment from 1982 to 1987 (1987 Census of Manufactures). This
variable should be inversely related to trade barriers, as trade
protection is expected to be higher in declining industries. The
value-added variable Vae, a proxy for total (human and physical) capital
per person, was computed from the 1987 Census of Manufactures. This
variable should be negatively related to trade protection to the extent
that it measures comparative advantage (Godek [1985]; Ray [1981a;
1981b]). The export share variable Xs, a proxy for trade performance,
was computed as the ratio of F.A.S. value of exports to apparent
domestic consumption and should be negatively related to trade
protection.
Although campaign contributions are certainly not independent
regressors in the trade barrier equation, it seems plausible that the
contributions and tariff rates are joined in a recursive system. The
equations which summarize the empirical determinants of the level of
campaign contributions and trade barriers in food processing industries
discussed above are
[Mathematical Expression Omitted]
[Mathematical Expression Omitted]
The sign below a variable indicates the hypothesized sign of its
coefficient; a (+/-) indicates that no a priori sign prediction is
warranted. The empirical equations are assumed to be linear in the
coefficients. The two equations constitute a recursive system, given
that PAC contributions is the dependent variable in the first one and a
regressor in the second one. After a test for correlation between error
terms in both equations, the ordinary least squares technique was
applied to estimate the model coefficients.(11) The data consisted of
observations for forty-four four-digit SIC food and tobacco
manufacturing industries for the year 1987. The results are presented
below.
III. EMPIRICAL RESULTS
The parameter estimates and selected statistics are presented in
Table I. To investigate the relevance of the PAC contributions and
tariff rate models, we conducted F-tests for the hypothesis that all the
coefficients in each model are zero. This hypothesis was rejected for
both models as the resultant F-statistics (reported in Table I) exceed
the critical F-values at the 1 percent level. Thus, the explanatory
variables are jointly relevant in explaining campaign contributions and
tariff rates. To assess the relative importance of campaign
contributions, we used two approaches: beta coefficients and F-tests for
restricted models of tariff rates.
To determine which variable contributes most to the regression, the
beta coefficient attempts to use the effect of a typically or
"equally likely" change in the variable, using sample standard
deviations as a measure of a typical change.(12) The beta coefficients
in Table I suggest that both industry characteristics and PAC
contributions variables are important in determining tariff rates.
Noticeably, the comparative advantage variables were the least
important.
To further assess the importance of PAC contributions, an F-test was
conducted to test whether the tariff rate model in Table I adds a
significant amount of information over a restricted model, where the
group of PAC contribution variables is excluded. The resultant
F-statistic was 25.5 with (4,32) degrees of freedom, a result which
exceeds the critical F-value at the 5 percent (critical F = 2.58) and at
the 1 percent (critical F = 3.95) levels. This result indicates that PAC
contributions add a significant amount of information in explaining
trade protection. It should be noted that by excluding PAC
contributions, the [R.sup.2] drops from 0.785 to 0.101. The F-statistics
of the restricted model are 0.578, which is below the critical F-value
of F = 2.37 at the [TABULAR DATA FOR TABLE I OMITTED] 5 percent level
and (7.36) degrees of freedom. In other words, without PAC
contributions, we failed to reject the hypothesis that coefficients
associated with industry structure and comparative advantage are all
zero. This finding implies that the sole use of comparative
disadvantage, industry structure, and indirect lobbying variables may be
unsatisfactory in modeling the determinants of trade protection; it also
supports the use of direct political variables such as political
contributions.
The same F-test was conducted by excluding the group of industry
characteristics, and the [R.sup.2] dropped from 0.785 to 0.661. The
resultant F-value was 4.63, which exceeded the critical F-tests (same
values as before) at the 5 and 1 percent levels. Finally, the exclusion
of the three comparative advantage variables yielded an F-test which was
insignificant at the 5 percent level. The [R.sup.2] dropped only from
0.785 to 0.735. In sum, the F-tests of the restricted models suggest
that among the three groups of variables, PAC contributions are jointly
the most important.
We turn next to the statistical significance of the individual
coefficients and their implications. All the coefficients in the PAC
contributions equation were significant at the 5 percent levels, except
for the one associated with supporting PACs, and all satisfied a priori
expectations. The most striking result is that market concentration is
quite significant when incorporated in Magee, Brock, and Young's
[1989] power index (Herfindahl index times sales). Another important
finding is that opposing PACs generate a greater amount of contributions
in the industry in question, suggesting strategic behavior. That is,
rent-seeking activity by an industry will largely depend on the
rent-seeking of other organizations.
Except for growth in employment and value added per employee, all
explanatory variables in the tariff rate equation were significant at
the 10 percent level; and most had the expected sign. The results
suggest that as the number of companies increases, there is an upward
pressure on trade protection. They also support the nonlinearity of the
impact of the number of firms in the industry. Through the lobbying
power variable (H x Vs), the results imply that the higher the level of
industry concentration or the size of the industry (sales), the lower
the level of trade protection. This finding implies that more perfectly
competitive industries are more effective in raising trade protection.
The conventional wisdom states that because highly concentrated
industries are more effective in organizing lobbying activities, they
are more likely to face favorable policy decisions. The first result was
confirmed in the PAC contributions equation, but the latter result was
rejected in the tariff rate equation. As argued by Zardkoohi [1988] and
others, industry concentration may reflect efficiency. If highly
concentrated industries are more efficient and more likely, therefore,
to experience comparative advantage, then trade protection will be lower
or unnecessary.
Among the comparative advantage variables, only export share (Xs) was
significantly different from zero at the 5 percent level. Both value
added per employee (Vae) and employment growth (Ge) fail to show
discernable impact on trade protection. The model and the data fail to
support the hypothesis that trade protection responds to losses in
employment. The weak results obtained on the comparative advantage
variables are not totally surprising. Twenty-one industry categories
(about half of our sample) were net exporters in 1987. For net
exporters, therefore, competitiveness variables do not explain
protection. The relationship between comparative advantage measures and
protection holds primarily for net importers.
The empirical results also confirm the independent role of PAC
contributions in influencing trade protection. That is, other factors
remaining constant, PAC contributions are instrumental and significant
in influencing favorable trade protection decisions. Furthermore, the
significance and the power of PAC contributions increase when industries
seek quantitative restrictions. The latter finding is consistent with
the conclusions of Godek [1985], Ray [1981a; 1981b] and Kaempfer and
Willett [1989].
Finally, the results indicate that PAC contributions by other
industries connected to the sector being protected are important. In
particular, PAC contributions by industries that sell to the protected
sector are also successful in raising the level of trade protection in
that sector. By the same token, the special interests of those
industries hurt by trade protection are also significant in lobbying to
remove protection, as their PAC contributions tend to lower the level of
trade barriers.
IV. CONCLUDING REMARKS
This study examined the determinants of the inter-industry pattern of
trade protection in forty-four U.S. food and tobacco manufacturing
industries in 1987. In terms of our objectives, the main findings are
the following. First, both industry structure characteristics and PAC
contributions are important determinants for the level of protection,
but less so are the comparative advantage variables. The findings
confirm both the facilitative and independent role of PAC contributions.
Furthermore, as PAC contributions themselves depend partly upon industry
characteristics, they influence trade protection decisions independently
of the industry making the contribution.
The second major point of the article is the analysis of the relative
importance of PAC contributions (i.e., special interests) versus
industry characteristics. The results indicate that PAC contributions
are vital in driving trade protection decisions. In fact, the results
lean toward recognizing that they are apparently the most important
factors, relative to industry structure and comparative disadvantage.
From a modeling standpoint, the exclusion of PAC contributions makes the
whole model of trade protection determinants insignificant. This is not
so if the industry characteristics or the comparative disadvantage
variables are excluded. Furthermore, trade protection in the food and
tobacco processing industries appears to be significantly insensitive to
the arguments often used in trade policy debates over the need for
protection, such as employment losses.
Finally, a third finding of this article is that the political
pressures of related industries affected by trade protection in one
sector are a significant ingredient in the political market for
protection, as reflected by the impact of their PAC contributions. From
a research standpoint, the ultimate implication of this finding is that
a more comprehensive framework, which includes the characteristics of
those industries as well, is needed for a more conclusive assessment of
the impact of rent-seeking activities in trade protection decisions or
other political outcomes. In particular, a general equilibrium political
market framework might be useful in providing further insight into the
dynamics of campaign contributions in political markets. As it stands
now, this article is focused on one type of political outcome (trade
protection), one type of rent-seeking activity (campaign contributions),
and one major manufacturing sector (food and tobacco processing).
Extensions in any or all of those dimensions would provide further
insights into the relationship of campaign contributions and changes in
public policy.
1. See Becker [1983] and Peltzman [1976].
2. Esty and Caves [1983], Wilhite and Theilmann [1987], Havrilesky
[1990], and Mueller and Stratman [1994] develop this distinction.
3. See Tullock [1967] and Lopez and Pagoulatos [1994].
4. See Anderson and Baldwin [1981]; Baldwin [1985; 1989]; Nelson
[1988]; Ray [1981a; 1981b] for examples.
5. See Caves [1976].
6. See Esty and Caves [1983] on this point.
7. See, e.g., Ray [1981a, 1981b].
8. In some cases it was necessary to allocate the contributions of a
specific PAC over several industries. In those cases, PAC contributions
were allocated by sales of the parent organization sponsoring the PAC
across four-digit SIC industries. The 1987 S.I.C. numbers of the
forty-four industries included in this study are: 2011, 2013, 2016-7,
2021, 2022, 2023, 2024, 2026, 2032, 2033, 2034, 2035, 2037-8, 2041-5,
2043, 2044, 2046, 2047, 2048, 2050, 2061-2-3, 2065, 2066, 2067, 2074,
2075, 2076, 2077, 2079, 2082, 2084, 2085, 2086, 2087, 2091, 2092, 2095,
2097, and 2098, 2099, 2111, 2121, 2131, and 2141.
9. Food industries protected by quotas rather than tariffs include
meat packing (S.I.C. = 2011), creamery butter (2021), cheese (2022),
condensed and evaporated milk (2023), fluid milk (2026), and refined
sugar (2061-3).
10. The efficiency equivalence between tariffs and tariff equivalents
of import quotas (those tariffs that result in the same level of imports
as the quota) has been questioned due to such dynamic considerations as
market power (Bhagwati [1965]). In terms of political inequivalence,
much of the empirical evidence supports the notion that quotas are used
to pursue higher levels of protection because of their informational
advantages (Godek [1985]), their transparency in trade negotiations (Ray
[1981a; 1981b]), their ability to overcome free riding and be less
visible (Kaempfer and Willet [1989]) or their expediency in terms of
hidden consumer cost and direct tax or treasury expenditure avoidance
(Lopez [1989]).
11. Empirically, a necessary but not sufficient condition for a
recursive system is that the equation-error covariance matrix diagonal
elements are zero. This property was tested with the covariance matrix
obtained from using Zellner's seemingly unrelated regressions
technique. The Lagrangian multiplier test of Breusch and Pagan failed to
reject the zero equation-error covariance hypothesis at the five percent
level.
12. The beta coefficient was calculated by multiplying the estimated
coefficients by the standard error of each regressor and dividing by the
standard error of the dependent variable. They can also be obtained via
a regression where all variables have been standardized (divided by
their own standard errors).
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RIGOBERTO A. LOPEZ and EMILIO PAGOULATOS, respectively, Associate
Professor, and Professor and Head, in the Department of Agricultural and
Resource Economics, University of Connecticut, Storrs, Conn. 06269-4021.
We are grateful for the helpful comments of two anonymous referees.