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The Dutta-Ray Solution on the Class of Convex Games: A Generalization and Monotonicity Properties

Author

Listed:
  • Jens Leth Hougaard

    (Institute of Economics, University of Copenhagen)

  • Bezalel Peleg

    (Hebrew University of Jerusalem)

  • Lars Peter Østerdal

    (Institute of Public Health, University of Copenhagen)

Abstract

This paper considers generalized Lorenz-maximal solutions in the core of a convex TU-game and demonsrtates that such solutions satisfy coalitional monotonicity and population monotonicity.

Suggested Citation

  • Jens Leth Hougaard & Bezalel Peleg & Lars Peter Østerdal, 2003. "The Dutta-Ray Solution on the Class of Convex Games: A Generalization and Monotonicity Properties," Discussion Papers 03-29, University of Copenhagen. Department of Economics.
    • Handle: RePEc:kud:kuiedp:0329
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    File URL: http://www.econ.ku.dk/english/research/publications/wp/2003/0329.pdf/
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    Cited by:

    1. Hougaard, Jens Leth & Østerdal, Lars Peter, 2010. "Monotonicity of social welfare optima," Games and Economic Behavior, Elsevier, vol. 70(2), pages 392-402, November.
    2. 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).

    More about this item

    Keywords

    convex games; core solutions; generalized Lorenz-maxima; coalitional monotonicity; population monotonicity;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions

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