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Consistency of the Harsanyi NTU configuration value

Author

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  • Hinojosa, M.A.
  • Romero, E.
  • Zarzuelo, J.M.

Abstract

It is shown that the Harsanyi NTU solution is consistent according to the Hart and Mas-Colell reduced game for NTU games, when we consider payoff configurations as solution outcomes. Moreover, we characterize this solution on a wide class of NTU games where this solution is single-valued: namely, the games for which the feasible set of the grand coalition is given by a half-space. The axiom system includes efficiency, covariance, symmetry, a null-player axiom, consistency, and an additional axiom requiring coherence in the payoffs of the intermediate coalitions.

Suggested Citation

  • Hinojosa, M.A. & Romero, E. & Zarzuelo, J.M., 2012. "Consistency of the Harsanyi NTU configuration value," Games and Economic Behavior, Elsevier, vol. 76(2), pages 665-677.
    • Handle: RePEc:eee:gamebe:v:76:y:2012:i:2:p:665-677
    DOI: 10.1016/j.geb.2012.07.012
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    References listed on IDEAS

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    Cited by:

    1. Sudhölter, Peter & Zarzuelo, José M., 2015. "On highway problems," Discussion Papers on Economics 13/2015, University of Southern Denmark, Department of Economics.
    2. Koji Yokote, 2017. "Weighted values and the core in NTU games," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(3), pages 631-654, August.
    3. M. Hinojosa & E. Romero-Palacios & J. Zarzuelo, 2015. "Consistency of the Shapley NTU value in G-hyperplane games," Review of Economic Design, Springer;Society for Economic Design, vol. 19(4), pages 259-278, December.
    4. Sudhölter, Peter & Zarzuelo, José M., 2017. "Characterizations of highway toll pricing methods," European Journal of Operational Research, Elsevier, vol. 260(1), pages 161-170.

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    More about this item

    Keywords

    Consistency; NTU games; Harsanyi value; Shapley value;
    All these keywords.

    JEL classification:

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

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