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Dividing profits three ways: Exactness vs. consensuality

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  • Boudreau, James W.
  • Knoblauch, Vicki

Abstract

A rule for 3-way division of profits based on peer evaluation reports is impartial if the calculation of each partner's share ignores her report, exact if it never allocates more or less than the profit to be shared, and consensual if it respects evaluations when the partners' reports are in agreement. We use a calculus of variations technique to solve exactly a simple version of the problem of finding a 3-way exact, impartial division function of minimal average deviation from consensuality. We also give approximate solutions to three versions of the problem using a numerical analysis technique that is widely applicable.

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Bibliographic Info

Article provided by Elsevier in its journal Mathematical Social Sciences.

Volume (Year): 62 (2011)
Issue (Month): 2 (September)
Pages: 79-86

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Handle: RePEc:eee:matsoc:v:62:y:2011:i:2:p:79-86

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Web page: http://www.elsevier.com/locate/inca/505565

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  1. de Clippel, Geoffroy & Moulin, Herve & Tideman, Nicolaus, 2008. "Impartial division of a dollar," Journal of Economic Theory, Elsevier, vol. 139(1), pages 176-191, March.
  2. Vicki Knoblauch, 2008. "Three-agent Peer Evaluation," Working papers 2008-28, University of Connecticut, Department of Economics.
  3. T. Tideman & Florenz Plassmann, 2008. "Paying the partners," Public Choice, Springer, vol. 136(1), pages 19-37, July.
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