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Economics Letters
Volume 55, Issue 3, 12 September 1997, Pages 333-337
 
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doi:10.1016/S0165-1765(97)00079-7    How to Cite or Link Using DOI (Opens New Window)

Two derivations of the uniform rule and an application to bankruptcy

James Schummer* and William Thomson

Department of Economics, University of Rochester, Rochester, NY 14627, USA

Received 1 August 1996;
revised 30 January 1997;
accepted 18 February 1997.
Available online 10 June 1998.

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Abstract

We consider the problem of allocating a single infinitely divisible commodity to agents with single-peaked preferences, and establish two properties of the rule that has played the central role in the analysis of this problem, the uniform rule. Among the efficient allocations, it selects (1) the one at which the difference between the largest amount received by any agent and the smallest such amount is minimal, and (2) the one at which the variance of the amounts received by all the agents is minimal. We also show that an important solution for bankruptcy problems, the constrained equal-award solution, can be characterized by analogous minimization exercises, subject to different constraints. © 1997 Elsevier Science S.A.

Author Keywords: Single-peaked preferences; Uniform rule; Bankruptcy problems; Constrained equal award solution; Talmudic solution

JEL classification codes: D51; D63; D70

*Corresponding author. Fax: (716) 256-2309; e-mail: shmr@troi.cc.rochester.edu


Economics Letters
Volume 55, Issue 3, 12 September 1997, Pages 333-337
 
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