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For claims problems, compromising between the proportional and constrained equal awards rules

William Thomson

Economic Theory, 2015, vol. 60, issue 3, 495-520

Abstract: For the problem of adjudicating conflicting claims, we define a family of two-claimant rules that offer a compromise between the proportional and constrained equal awards rules. We identify the members of the family that satisfy particular properties. We generalize the rules to general populations by requiring “consistency”: The recommendation made for each problem should be “in agreement” with the recommendation made for each reduced problem that results when some claimants receive their awards and leave. We identify which members of the two-claimant family have consistent extensions, and we characterize these extensions. Here too, we identify which extensions satisfy particular properties. Finally, we propose and study a “dual” family. Copyright Springer-Verlag Berlin Heidelberg 2015

Keywords: Claims problems; Proportional rule; Constrained equal awards rule; Consistency; Consistent extension; C79; D63; D74 (search for similar items in EconPapers)
Date: 2015
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