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A Characterization of the Myerson value for cooperative games on voting structures

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  • Clinton Gubong Gassi

    (Université de Franche-Comté, CRESE, UR3190, F-25000 Besançon, France)

Abstract

We consider cooperative games where the coalition structure is given by the set of winning coalitions of a simple game. This type of games models some real-life situations in which some agents have economic performances while some others are endowed with a political power. On this class of cooperative games, the Myerson value has been identified as the Harsanyi power solution associated to the Equal Division power index and has been characterized in the large class of Harsanyi power solutions with respect to the associated power index. In this paper, we provide a characterization of the Myerson value for this class of games without focusing on the whole family of Harsanyi power solutions and therefore, without taking into account any power index. We identify the Myerson value as the only allocation rule that satisfies efficiency, additivity, modularity, extra-null player property, and Equal Treatment of Veto.

Suggested Citation

  • Clinton Gubong Gassi, 2024. "A Characterization of the Myerson value for cooperative games on voting structures," Working Papers 2024-10, CRESE.
    • Handle: RePEc:crb:wpaper:2024-10
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    References listed on IDEAS

    as
    1. Gilles, Robert P & Owen, Guillermo & van den Brink, Rene, 1992. "Games with Permission Structures: The Conjunctive Approach," International Journal of Game Theory, Springer;Game Theory Society, vol. 20(3), pages 277-293.
    2. Encarnaciön Algaba & Sylvain Béal & Eric Rémila & Phillippe Solal, 2018. "Harsanyi power solutions for cooperative games on voting structures," Working Papers 2018-05, CRESE.
    3. E. Algaba & J. Bilbao & R. Brink, 2015. "Harsanyi power solutions for games on union stable systems," Annals of Operations Research, Springer, vol. 225(1), pages 27-44, February.
    4. Roger B. Myerson, 1977. "Graphs and Cooperation in Games," Mathematics of Operations Research, INFORMS, vol. 2(3), pages 225-229, August.
    5. Shapley, L. S. & Shubik, Martin, 1954. "A Method for Evaluating the Distribution of Power in a Committee System," American Political Science Review, Cambridge University Press, vol. 48(3), pages 787-792, September.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    TU-game; Voting structure; Harsanyi dividends; Harsanyi power solution; Myerson value.;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

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