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Calculating direct and indirect contributions of players in cooperative games via the multi-linear extension

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  • Casajus, André
  • Huettner, Frank

Abstract

The resolution of a solution for cooperative games is a recently developed tool to decompose a solution into a player’s direct contribution in a game and her (higher-order) indirect contribution, i.e., her contribution to other players’ direct contributions. We provide new formulae for resolutions and their potentials, which facilitate the calculation of them in large (voting) games. These formulae make use of the multi-linear extension of cooperative games with transferable utility.

Suggested Citation

  • Casajus, André & Huettner, Frank, 2018. "Calculating direct and indirect contributions of players in cooperative games via the multi-linear extension," Economics Letters, Elsevier, vol. 164(C), pages 27-30.
    • Handle: RePEc:eee:ecolet:v:164:y:2018:i:c:p:27-30
    DOI: 10.1016/j.econlet.2017.12.011
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    References listed on IDEAS

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    1. Perez-Castrillo, David & Wettstein, David, 2001. "Bidding for the Surplus : A Non-cooperative Approach to the Shapley Value," Journal of Economic Theory, Elsevier, vol. 100(2), pages 274-294, October.
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    More about this item

    Keywords

    Shapley value; Decomposition; Resolution; Potential; Multi-linear extension;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D60 - Microeconomics - - Welfare Economics - - - General

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