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New axiomatizations of the Diversity Owen and Shapley values

Author

Listed:
  • Sylvain Béal

    (Université Marie et Louis Pasteur, CRESE (UR 3190))

  • Mostapha Diss

    (Université Marie et Louis Pasteur, CRESE (UR 3190)
    Mohammed VI Polytechnic University)

  • Rodrigue Tido Takeng

    (Université de Caen Normandie, CREM, UMR 6211)

Abstract

In this note, we consider the class of TU-games with diversity constraints introduced by Béal et al. (J Math Econ 116:103077, 2025) and provide new characterizations of the so-called Diversity Shapley and Diversity Owen values, which extend the Shapley and Owen values. These results follow the approaches in terms of Fairness (van den Brink in Int J Game Theory 30:309–319, 2002) and Balanced contributions (Myerson in Int J Game Theory 9:169–182, 1980).

Suggested Citation

  • Sylvain Béal & Mostapha Diss & Rodrigue Tido Takeng, 2025. "New axiomatizations of the Diversity Owen and Shapley values," International Journal of Game Theory, Springer;Game Theory Society, vol. 54(1), pages 1-16, June.
    • Handle: RePEc:spr:jogath:v:54:y:2025:i:1:d:10.1007_s00182-025-00934-6
    DOI: 10.1007/s00182-025-00934-6
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    References listed on IDEAS

    as
    1. René van den Brink, 2002. "An axiomatization of the Shapley value using a fairness property," International Journal of Game Theory, Springer;Game Theory Society, vol. 30(3), pages 309-319.
    2. Winter, Eyal, 1989. "A Value for Cooperative Games with Levels Structure of Cooperation," International Journal of Game Theory, Springer;Game Theory Society, vol. 18(2), pages 227-240.
    3. Calvo, Emilio & Javier Lasaga, J. & Winter, Eyal, 1996. "The principle of balanced contributions and hierarchies of cooperation," Mathematical Social Sciences, Elsevier, vol. 31(3), pages 171-182, June.
    4. Xun-Feng Hu, 2021. "New axiomatizations of the Owen value," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 93(3), pages 585-603, June.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    TU-games; Diversity constraints; Axiomatic characterization; Diversity Shapley value; Diversity Owen value;
    All these keywords.

    JEL classification:

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

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