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Axiomatic characterizations of the core and the Shapley value of the broadcasting game

Author

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  • Gustavo Bergantiños

    (Universidade de Vigo, ECOSOT)

  • Juan D. Moreno-Ternero

    (Universidad Pablo de Olavide)

Abstract

We study the cooperative game associated with a broadcasting problem (the allocation of revenues raised from the collective sale of broadcasting rights for a sports tournament). We show that the set of core allocations can be characterized with three axioms: additivity, null team and monotonicity. We also show that the Shapley value can be characterized with additivity, equal treatment of equals and core selection.

Suggested Citation

  • Gustavo Bergantiños & Juan D. Moreno-Ternero, 2024. "Axiomatic characterizations of the core and the Shapley value of the broadcasting game," International Journal of Game Theory, Springer;Game Theory Society, vol. 53(3), pages 977-988, September.
    • Handle: RePEc:spr:jogath:v:53:y:2024:i:3:d:10.1007_s00182-024-00894-3
    DOI: 10.1007/s00182-024-00894-3
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    References listed on IDEAS

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    Cited by:

    1. Zhengxing Zou & Xuezi Mei, 2025. "Equal-sharing extra revenues from broadcasting sports leagues," Annals of Operations Research, Springer, vol. 344(1), pages 457-478, January.

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    More about this item

    Keywords

    Broadcasting rights; Cooperative games; Core; Shapley value; Axioms;
    All these keywords.

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • Z20 - Other Special Topics - - Sports Economics - - - General

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