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   <subfield code="a">For claims problems, compromising between the proportional and constrained equal awards rules</subfield>
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   <subfield code="a">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 &quot;consistency”: The recommendation made for each problem should be &quot;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 &quot;dual” family.</subfield>
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