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On Properties of Division Rules Lifted by Bilateral Consistency

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Type: Working Paper
Author: Hokari, Toru; Thomson, William
Date: 2007
Agency: Rochester Center for Economic Research, University of Rochester, Rochester, New York, USA
Series: Working Paper No. 536
URI: https://hdl.handle.net/10535/4029
Sector: Theory
Subject(s): conflict
property rights
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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