On properties of division rules lifted by bilateral consistency |
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Authors: | Toru Hokari William Thomson |
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Affiliation: | 1. University of Tsukuba, 1-1- Ten''no dai, Ibaraki 305-8571, Japan;2. University of Rochester, Department of Economics Rochester, NY 14627, United States |
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Abstract: | We consider the problem of adjudicating conflicting claims in the context of a variable population. A property of rules is “lifted” if whenever a rule satisfies it in the two-claimant case, and the rule is bilaterally consistent, it satisfies it for any number of claimants. We identify a number of properties that are lifted, such as equal treatment of equals, resource monotonicity, composition down and composition up, and show that continuity, anonymity and self-duality are not lifted. However, each of these three properties is lifted if the rule is resource monotonic. |
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Keywords: | C79 D63 D74 |
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