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Dividing Profits Three Ways: Impartiality vs. Consensuality


  • James W. Boudreau

    (The University of Texas-Pan American)

  • Vicki Knoblauch

    (University of Connecticut)


A rule for three-way division of profits based on peer evaluation reports is impartial if the calculation of each partner’s share ignores her report, and is consensual if it respects evaluations when the three partners’ reports are in agreement. We give an approximate solution to the problem of finding a three-way impartial division rule of minimal average deviation from consensuality. We also use a calculus of variations technique to give an exact solution to a simple version of the problem.

Suggested Citation

  • James W. Boudreau & Vicki Knoblauch, 2010. "Dividing Profits Three Ways: Impartiality vs. Consensuality," Working papers 2010-15, University of Connecticut, Department of Economics.
  • Handle: RePEc:uct:uconnp:2010-15

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    References listed on IDEAS

    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.
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    More about this item


    division function; impartial; consensual;

    JEL classification:

    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement


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