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Axiomatizations of Dutta-Ray's egalitarian solution on the domain of convex games

Author

Listed:
  • Calleja, Pedro

    (Departament de Matemàtica Econòmica, Financera i Actuarial)

  • Llerena, Francesc

    (Departament de Gestió d'Empreses)

  • Sudhölter, Peter

    (Department of Business and Economics)

Abstract

We show that on the domain of convex games, Dutta-Ray's egalitarian solution is characterized by core selection, aggregate monotonicity, and bounded richness, a new property requiring that the poorest players cannot be made richer within the core. Replacing "poorest" by "poorer" allows to eliminate aggregate monotonicity. Moreover, strengthening core selection into bilateral consistency à la Davis and Maschler, and Pareto optimality into individual rationality and bilateral consistency à la Hart and Mas-Colell, we obtain alternative and stylized axiomatic approaches.

Suggested Citation

  • Calleja, Pedro & Llerena, Francesc & Sudhölter, Peter, 2020. "Axiomatizations of Dutta-Ray's egalitarian solution on the domain of convex games," Discussion Papers on Economics 4/2020, University of Southern Denmark, Department of Economics.
    • Handle: RePEc:hhs:sdueko:2020_004
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    References listed on IDEAS

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    1. Dietzenbacher, Bas & Yanovskaya, Elena, 2023. "The equal split-off set for NTU-games," Mathematical Social Sciences, Elsevier, vol. 121(C), pages 61-67.

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    More about this item

    Keywords

    Dutta-Rays egalitarian solution; axiomatizations; convex TU game;
    All these keywords.

    JEL classification:

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

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