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Positive Harmony Transformations and Equilibrium Selection in Two-Player Games

Author

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  • Daniel John Zizzo

Abstract

Game harmony is a generic game property that describes how harmonious (non-conflictual) or disharmonious (conflictual) the interests of players are, as embodied in the payoffs. It can be used to predict cooperation in two-player games. We show how, for large enough positive harmony transformations of the game, a utilitarian solution is always a Nash equilibrium, coincides with the Nash bargaining solution and acquires further desirable properties of payoff and risk dominance. Case-based reasoning and team reasoning are alternative mechanisms by which game harmony measures can successfully predict cooperative behavior.

Suggested Citation

  • Daniel John Zizzo, 2004. "Positive Harmony Transformations and Equilibrium Selection in Two-Player Games," Economics Series Working Papers 197, University of Oxford, Department of Economics.
    • Handle: RePEc:oxf:wpaper:197
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    File URL: https://ora.ox.ac.uk/objects/uuid:4b0c2a34-9de0-4455-bdca-c24b2aa2b37f
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    Citations

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    Cited by:

    1. Alessandra Smerilli, 2012. "We-thinking and vacillation between frames: filling a gap in Bacharach’s theory," Theory and Decision, Springer, vol. 73(4), pages 539-560, October.
    2. Tan, Jonathan H.W. & Zizzo, Daniel John, 2008. "Groups, cooperation and conflict in games," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 37(1), pages 1-17, February.

    More about this item

    Keywords

    Cooperation; Game Harmony; Payoff Dominance; Risk Dominance;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C79 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Other

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