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Two Derivations of the Uniform Rule and an Application to Bankruptcy

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Author Info
Schummer, J.
Thomson, W.

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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 role. Among the efficient allocations, it selects (1) the one at which the difference between the largest amount received by any agent and the smallest sush amount is minimal, and (2) the one at which the variance of the amounts received by the agents is minimal.

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Publisher Info
Paper provided by University of Rochester - Center for Economic Research (RCER) in its series RCER Working Papers with number 423.

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Length: 11 pages
Date of creation: 1996
Date of revision:
Handle: RePEc:roc:rocher:423

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Postal: UNIVERSITY OF ROCHESTER, CENTER FOR ECONOMIC RESEARCH, DEPARTMENT OF ECONOMICS, HARKNESS 231 ROCHESTER NEW YORK 14627 U.S.A.

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Keywords: BANKRUPTCY;

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Find related papers by JEL classification:
D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General

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  1. Toyotaka Sakai & Takuma Wakayama, 2008. "Uniform, Equal Division, and Other Envy-free Rules between the Two," ISER Discussion Paper 0723, Institute of Social and Economic Research, Osaka University. [Downloadable!]
  2. Moulin, Herve, 2001. "Axiomatic Cost and Surplis-Sharing," Working Papers 2001-06, Rice University, Department of Economics. [Downloadable!]
    Other versions:
  3. Jordi MassóAuthor-Email: jordi.masso@uab.es & Alejandro Neme, 2003. "Bribe-proof Rules in the Division Problem," UFAE and IAE Working Papers 571.03, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC). [Downloadable!]
    Other versions:
  4. James Schummer, 1999. "Almost-dominant Strategy Implementation," Discussion Papers 1278, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
  5. Pablo Amorós, 1998. "- Single-Peaked Preferences With Several Commodities," Working Papers. Serie AD 1998-23, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie). [Downloadable!]
    Other versions:
  6. Youngsub Chun, 2006. "The Separability Principle in Economies with Single-Peaked Preferences," Social Choice and Welfare, Springer, vol. 26(2), pages 239-253, April. [Downloadable!] (restricted)
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