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Disjointly productive players and the Shapley value

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  • Besner, Manfred

Abstract

Central to this study is the concept of disjointly productive players. Two players are disjointly productive if there is no synergy effect if one of these players joins a coalition containing the other. Our first new axiom states that the payoff to a player does not change when another player, disjointly productive with that player, is removed from the game. The second new axiom means that if we merge two disjointly productive players into a new player, the payoff to a third player in a game with the merged player does not change. These two axioms, along with efficiency, characterize the Shapley value and can lead to improved run times for computing the Shapley value in games with some disjointly productive players.

Suggested Citation

  • Besner, Manfred, 2021. "Disjointly productive players and the Shapley value," MPRA Paper 108241, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:108241
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    References listed on IDEAS

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    More about this item

    Keywords

    Cooperative game; Shapley value; Disjointly productive players; Merged (disjointly productive) players game;
    All these keywords.

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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