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Ordinal equivalence of values and Pigou-Dalton transfers in TU-games

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  • Chameni Nembua, Célestin
  • Demsou, Themoi

Abstract

The paper studies the ordinal equivalence of Linear, Efficient and Symmetry (LES) values in TU-games. It demonstrates that most of the results obtained by Carreras F, Freixas J (2008) in the case of semivalues and simple games are transposable on LES values and the whole TU-games set. In particular, linear and weakly linear games are analyzed. We characterize both values which are ordinal equivalent in all TU-games. Pigou-Dalton transfers are introduced for social comparison of values and to shed light on the way payoffs are redistributed from a value to another.

Suggested Citation

  • Chameni Nembua, Célestin & Demsou, Themoi, 2013. "Ordinal equivalence of values and Pigou-Dalton transfers in TU-games," MPRA Paper 44895, University Library of Munich, Germany, revised 09 Mar 2013.
    • Handle: RePEc:pra:mprapa:44895
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    References listed on IDEAS

    as
    1. Célestin Chameni Nembua & Nicolas Gabriel Andjiga, 2008. "Linear, efficient and symmetric values for TU-games," Economics Bulletin, AccessEcon, vol. 3(71), pages 1-10.
    2. Ebert, Udo, 2010. "The decomposition of inequality reconsidered: Weakly decomposable measures," Mathematical Social Sciences, Elsevier, vol. 60(2), pages 94-103, September.
    3. repec:ebl:ecbull:v:3:y:2008:i:71:p:1-10 is not listed on IDEAS
    4. Yuan Ju & Peter Borm & Pieter Ruys, 2007. "The consensus value: a new solution concept for cooperative games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 28(4), pages 685-703, June.
    5. Shapley, L. S. & Shubik, Martin, 1954. "A Method for Evaluating the Distribution of Power in a Committee System," American Political Science Review, Cambridge University Press, vol. 48(3), pages 787-792, September.
    6. Chameni Nembua, C., 2012. "Linear efficient and symmetric values for TU-games: Sharing the joint gain of cooperation," Games and Economic Behavior, Elsevier, vol. 74(1), pages 431-433.
    7. Carreras, Francesc & Freixas, Josep, 2008. "On ordinal equivalence of power measures given by regular semivalues," Mathematical Social Sciences, Elsevier, vol. 55(2), pages 221-234, March.
    8. Lawrence Diffo Lambo & Joël Moulen, 2002. "Ordinal equivalence of power notions in voting games," Theory and Decision, Springer, vol. 53(4), pages 313-325, December.
    9. Célestin Chameni Nembua, 2006. "Linking Gini to Entropy : Measuring Inequality by an interpersonal class of indices," Economics Bulletin, AccessEcon, vol. 4(5), pages 1-9.
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    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Cooperative games; desirability relation; linear values; linear games; Pigou-Dalton transfers; concentration; Lorenz dominance.;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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