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Proportional Share Analysis

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  • Carles Rafels
  • Cori Vilella

Abstract

The purpose of this paper is to generalize the theory of "equal share analysis", developed by Selten in 1972, to the one in which every player has a positive weight. We show that for any positive vector of weights, it is always possible to find a coalition structure and a payoff vector forming a proportional regular configuration.

Suggested Citation

  • Carles Rafels & Cori Vilella, 2005. "Proportional Share Analysis," Working Papers 218, Barcelona School of Economics.
    • Handle: RePEc:bge:wpaper:218
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    References listed on IDEAS

    as
    1. Branzei, Rodica & Dimitrov, Dinko & Tijs, Stef, 2004. "Egalitarianism in convex fuzzy games," Mathematical Social Sciences, Elsevier, vol. 47(3), pages 313-325, May.
    2. Anindya Bhattacharya, 2004. "On the equal division core," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 22(2), pages 391-399, April.
    3. Dutta, Bhaskar & Ray, Debraj, 1989. "A Concept of Egalitarianism under Participation Constraints," Econometrica, Econometric Society, vol. 57(3), pages 615-635, May.
    4. Klijn, Flip & Slikker, Marco & Tijs, Stef & Zarzuelo, Jose, 2000. "The egalitarian solution for convex games: some characterizations," Mathematical Social Sciences, Elsevier, vol. 40(1), pages 111-121, July.
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    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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