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Average monotonic cooperative games with nontransferable utility

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  • Giménez-Gómez, José Manuel
  • Sudhölter, Peter
  • Vilella Bach, Misericòrdia
Abstract
A non-negative transferable utility (TU) game is average monotonic if there exists a non-negative allocation according to which the relative worth is not decreasing when enlarging the coalition. We generalize this definition to the nontransferable utility (NTU) case. It is shown that an average monotonic NTU game shares several properties with an average monotonic TU game. In particular it has a special core element and there exists a population monotonic allocation scheme. We show that an NTU bankruptcy game is average monotonic with respect to the claims vector. Keywords: nontransferable utility; average monotonicity; core; population monotonicity JEL classification: C71

Suggested Citation

  • Giménez-Gómez, José Manuel & Sudhölter, Peter & Vilella Bach, Misericòrdia, 2022. "Average monotonic cooperative games with nontransferable utility," Working Papers 2072/535076, Universitat Rovira i Virgili, Department of Economics.
    • Handle: RePEc:urv:wpaper:2072/535076
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    References listed on IDEAS

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    1. Lloyd S. Shapley, 1967. "On balanced sets and cores," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 14(4), pages 453-460.
    2. Guni Orshan & Federico Valenciano & José M. Zarzuelo, 2003. "The Bilateral Consistent Prekernel, the Core, and NTU Bankruptcy Problems," Mathematics of Operations Research, INFORMS, vol. 28(2), pages 268-282, May.
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    Cited by:

    1. Michel Grabisch & Hervé Moulin & José Manuel Zarzuelo, 2024. "Professor Peter Sudhölter (1957–2024)," International Journal of Game Theory, Springer;Game Theory Society, vol. 53(2), pages 289-294, June.

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    More about this item

    Keywords

    Jocs cooperatius (Matemàtica); 33 - Economia;

    JEL classification:

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

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