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Alternative representation of semivalues, the inverse problem and coalitional rationality

Author

Listed:
  • DRAGAN Irinel,

    (University of Texas)

  • DEHEZ Pierre,

    (CORE, UCLouvain)

Abstract

The concept of semivalue of a transferable utility game has been introduced by Dubey, Neyman and Weber as weighted sum of marginal contributions. Later, Puente has introduced a particular class of semivalues, called binomial semivalues, where weights are obtained through a recursive procedure. In the present paper, we extend Puente's procedure to obtain an equivalent representation of semivalues that turns out to be useful to solve the inverse problem and the question of coalitional rationality.

Suggested Citation

  • DRAGAN Irinel, & DEHEZ Pierre,, 2019. "Alternative representation of semivalues, the inverse problem and coalitional rationality," LIDAM Discussion Papers CORE 2019010, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  • Handle: RePEc:cor:louvco:2019010
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    File URL: https://sites.uclouvain.be/core/publications/coredp/coredp2019.html
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    Keywords

    transferable utility games; semivalues; inverse problem; power game;
    All these keywords.

    JEL classification:

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

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