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Population monotonicity and egalitarianism

Author

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  • Dietzenbacher, Bas

    (RS: GSBE other - not theme-related research, QE Math. Economics & Game Theory)

  • Dogan, Emre

Abstract

This paper identifies the maximal domain of transferable utility games on which population monotonicity (no player is worse off when additional players enter the game) and egalitarian core selection (no other core allocation can be obtained by a transfer from a richer to a poorer player) are compatible, which is the class of games with an egalitarian population monotonic allocation scheme. On this domain, which strictly includes the class of convex games, population monotonicity and egalitarian core selection together characterize the Dutta-Ray solution. We relate the class of games with an egalitarian population monotonic allocation scheme to several other classes of games.

Suggested Citation

  • Dietzenbacher, Bas & Dogan, Emre, 2024. "Population monotonicity and egalitarianism," Research Memorandum 007, Maastricht University, Graduate School of Business and Economics (GSBE).
    • Handle: RePEc:unm:umagsb:2024007
    DOI: 10.26481/umagsb.2024007
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    References listed on IDEAS

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    JEL classification:

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

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