Article ID: | iaor201110531 |
Volume: | 40 |
Issue: | 4 |
Start Page Number: | 791 |
End Page Number: | 807 |
Publication Date: | Nov 2011 |
Journal: | International Journal of Game Theory |
Authors: | Lauwers Luc, Bosmans Kristof |
Consider the following nine rules for adjudicating conflicting claims: the proportional, constrained equal awards, constrained equal losses, Talmud, Piniles’, constrained egalitarian, adjusted proportional, random arrival, and minimal overlap rules. For each pair of rules in this list, we examine whether or not the two rules are Lorenz comparable. We allow the comparison to depend upon whether the amount to divide is larger or smaller than the half‐sum of claims. In addition, we provide Lorenz‐based characterizations of the constrained equal awards, constrained equal losses, Talmud, Piniles’, constrained egalitarian, and minimal overlap rules.