期刊名称：CORE Discussion Papers / Center for Operations Research and Econometrics (UCL), Louvain
出版年度：2010
卷号：2010
期号：1
出版社：Center for Operations Research and Econometrics (UCL), Louvain
摘要：We propose two axioms that introduce lower bounds into resource monotonicity requirements for rules
for the problem of adjudicating conflicting claims. Suppose the amount to divide increases. The first
axiom requires that two claimants whose lower bound changes equally experience an equal change in
awards. The second axiom requires that extra resources are divided only among those claimants who
experience a strictly positive change in their lower bound. We show that, in the two-claimant case,
Concede-and-Divide is the only rule that satisfies both axioms when the axioms are defined over a large
set of lower bounds that include the minimal rights lower bound and the secured lower bound. We also
show that, in the n-claimant case where at least one claimant claims the total amount, the Minimal
Overlap rule is the only rule that satisfies both axioms when the axioms are defined over the secured
lower bound.
