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Two Characterizations of the Uniform Rule for Division Problems with Single-Peaked Preferences

  • Volij, Oscar
  • Otten, Gert-Jan
  • Peters, Hans

The uniform rule is considered to be the most important rule for the problem of allocating an amount of a perfectly divisible good between agents who have single-peaked preferences. The uniform rule was studied extensively in the literature and several characterizations were provided. The aim of this paper is to provide two different formulations and corresponding axiomatizations of the uniform rule. These formulations resemble the Nash and the lexicographic egalitarian bargaining solutions; the corresponding axiomatizations are based on axioms of independence of irrelevant alternatives and restricted monotonicity.

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Paper provided by Iowa State University, Department of Economics in its series Staff General Research Papers with number 5108.

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Date of creation: 01 Jan 1996
Date of revision:
Publication status: Published in Economic Theory 1996, vol. 7, pp. 291-306
Handle: RePEc:isu:genres:5108
Contact details of provider: Postal: Iowa State University, Dept. of Economics, 260 Heady Hall, Ames, IA 50011-1070
Phone: +1 515.294.6741
Fax: +1 515.294.0221
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  1. Aumann, Robert J. & Maschler, Michael, 1985. "Game theoretic analysis of a bankruptcy problem from the Talmud," Journal of Economic Theory, Elsevier, vol. 36(2), pages 195-213, August.
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