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On the existence of the Dutta-Ray’s egalitarian solution

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  • Llerena Garrés, Francesc
  • Mauri Masdeu, Llúcia

Abstract

A class of balanced games, called exact partition games, is introduced. Within this class, it is shown that the egalitarian solution of Dutta and Ray (1989) behaves as in the class of convex games. Moreover, we provide two axiomatic characterization by means of suitable properties such as consistency, rationality and Lorenz-fairness. As a by-product, alternative characterizations of the egalitarian solution over the class of convex games are obtained.

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  • Llerena Garrés, Francesc & Mauri Masdeu, Llúcia, 2016. "On the existence of the Dutta-Ray’s egalitarian solution," Working Papers 2072/266573, Universitat Rovira i Virgili, Department of Economics.
    • Handle: RePEc:urv:wpaper:2072/266573
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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. Jens Leth Hougaard & Lars Thorlund-Petersen & Bezalel Peleg, 2001. "On the set of Lorenz-maximal imputations in the core of a balanced game," International Journal of Game Theory, Springer;Game Theory Society, vol. 30(2), pages 147-165.
    3. 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.
    4. Toru Hokari, 2002. "Monotone-path Dutta-Ray solutions on convex games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(4), pages 825-844.
    5. Arin, Javier & Kuipers, Jeroen & Vermeulen, Dries, 2003. "Some characterizations of egalitarian solutions on classes of TU-games," Mathematical Social Sciences, Elsevier, vol. 46(3), pages 327-345, December.
    6. Francesc Llerena & Llúcia Mauri, 2015. "On the Lorenz-maximal allocations in the imputation set," Economics Bulletin, AccessEcon, vol. 35(4), pages 2475-2481.
    7. Klijn, F. & Slikker, M. & Tijs, S.H. & Zarzuelo, I., 2000. "The egalitarian solution for convex games : Some characterizations," Other publications TiSEM 614b77cd-430c-4048-856f-8, Tilburg University, School of Economics and Management.
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    9. 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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