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

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  • Calleja, Pedro
  • Llerena, Francesc
  • Sudhölter, Peter

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, we show that the egalitarian solution is characterized by constrained welfare egalitarianism and either bilateral consistency à la Davis and Maschler or, together with individual rationality, by bilateral consistency à la Hart and Mas-Colell.

Suggested Citation

  • Calleja, Pedro & Llerena, Francesc & Sudhölter, Peter, 2021. "Axiomatizations of Dutta-Ray’s egalitarian solution on the domain of convex games," Journal of Mathematical Economics, Elsevier, vol. 95(C).
    • Handle: RePEc:eee:mateco:v:95:y:2021:i:c:s030440682100015x
    DOI: 10.1016/j.jmateco.2021.102477
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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-Ray’s egalitarian solution; Axiomatizations; Aggregate monotonicity; Convex TU game;
    All these keywords.

    JEL classification:

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

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