On properties of division rules lifted by bilateral consistency

Toru Hokari and William Thomson

Journal of Mathematical Economics, 2008, vol. 44, issue 11, 1057-1071

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.

Keywords: Claims; problems; Consistency; Lifting; Constrained; equal; awards; rule; Constrained; equal; losses; rule (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (25)

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Working Paper: On properties of division rules lifted by bilateral consistency (2007)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:mateco:v:44:y:2008:i:11:p:1057-1071

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