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A Dual Egalitarian Solution

Author

Listed:
  • Klijn, F.

    (Tilburg University, Center For Economic Research)

  • Slikker, M.

    (Tilburg University, Center For Economic Research)

  • Tijs, S.H.

    (Tilburg University, Center For Economic Research)

Abstract

In this note we introduce an egalitarian solution, called the dual egalitarian solution, that is the natural counterpart of the egalitarian solution of Dutta and Ray (1989). We prove, among others, that for a convex game the egalitarian solution coincides with the dual egalitarian solution for its dual concave game.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Klijn, F. & Slikker, M. & Tijs, S.H., 2000. "A Dual Egalitarian Solution," Discussion Paper 2000-113, Tilburg University, Center for Economic Research.
    • Handle: RePEc:tiu:tiucen:9116c2a6-bf36-4b9c-a029-3f4604308ac7
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    References listed on IDEAS

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    1. Dutta, Bhaskar & Ray, Debraj, 1989. "A Concept of Egalitarianism under Participation Constraints," Econometrica, Econometric Society, vol. 57(3), pages 615-635, May.
    2. Peter SudhÃLter, 1997. "The Modified Nucleolus: Properties and Axiomatizations," International Journal of Game Theory, Springer;Game Theory Society, vol. 26(2), pages 147-182.
    3. SCHMEIDLER, David, 1969. "The nucleolus of a characteristic function game," LIDAM Reprints CORE 44, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. Curiel, I. & Pederzoli, G. & Tijs, S.H., 1989. "Sequencing games," Other publications TiSEM cd695be5-0f54-4548-a952-2, Tilburg University, School of Economics and Management.
    5. S. C. Littlechild & G. Owen, 1973. "A Simple Expression for the Shapley Value in a Special Case," Management Science, INFORMS, vol. 20(3), pages 370-372, November.
    6. Dutta, B, 1990. "The Egalitarian Solution and Reduced Game Properties in Convex Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 19(2), pages 153-169.
    7. Shapley, Lloyd S. & Shubik, Martin, 1969. "On market games," Journal of Economic Theory, Elsevier, vol. 1(1), pages 9-25, June.
    8. 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.
    9. 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.
    10. O'Neill, Barry, 1982. "A problem of rights arbitration from the Talmud," Mathematical Social Sciences, Elsevier, vol. 2(4), pages 345-371, June.
    11. Curiel, Imma & Pederzoli, Giorgio & Tijs, Stef, 1989. "Sequencing games," European Journal of Operational Research, Elsevier, vol. 40(3), pages 344-351, June.
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    Cited by:

    1. Emre Doğan, 2021. "Population monotonicity in fair division of multiple indivisible goods," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(2), pages 361-376, June.

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    More about this item

    Keywords

    cooperative games; egalitarianism; duality;
    All these keywords.

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D6 - Microeconomics - - Welfare Economics

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