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Average monotonic cooperative games with nontransferable utility

Author

Listed:
  • José-Manuel Giménez-Gómez

    (Universitat Rovira i Virgili)

  • Peter Sudhölter

    (University of Southern Denmark)

  • Cori Vilella

    (Universitat Rovira i Virgili)

Abstract

A non-negative transferable utility (TU) game is average monotonic if there exists a non-negative vector 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.

Suggested Citation

  • José-Manuel Giménez-Gómez & Peter Sudhölter & Cori Vilella, 2023. "Average monotonic cooperative games with nontransferable utility," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 97(3), pages 383-390, June.
    • Handle: RePEc:spr:mathme:v:97:y:2023:i:3:d:10.1007_s00186-023-00819-y
    DOI: 10.1007/s00186-023-00819-y
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    References listed on IDEAS

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    More about this item

    Keywords

    Nontransferable utility; Average monotonicity; Core; Population monotonicity;
    All these keywords.

    JEL classification:

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

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