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Nash demand game and the Kalai-Smorodinsky solution

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  • Anbarci, Nejat
  • Boyd III, John H.

Abstract

We introduce two new variations on the Nash demand game. In one, as in all past variants of Nash demand games, the Nash bargaining solution is the equilibrium outcome. The other demand game allows for probabilistic continuation in cases of infeasible joint demands. Specifically, with probability (1-p) the game terminates and the players receive their disagreement payoffs; but with probability p the game continues to a second stage in which one of the two incompatible demands is randomly selected and implemented. Surprisingly, the Kalai-Smorodinsky solution is always the outcome of the most robust equilibrium of this game. Moreover, ranking other solution concepts is impossible.

Suggested Citation

  • Anbarci, Nejat & Boyd III, John H., 2011. "Nash demand game and the Kalai-Smorodinsky solution," Games and Economic Behavior, Elsevier, vol. 71(1), pages 14-22, January.
    • Handle: RePEc:eee:gamebe:v:71:y:2011:i:1:p:14-22
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    References listed on IDEAS

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    Cited by:

    1. Roberto Serrano, 2020. "Sixty-Seven Years of the Nash Program: Time for Retirement?," Working Papers 2020-20, Brown University, Department of Economics.
    2. Emin Karagözoğlu & Shiran Rachmilevitch, 2018. "Implementing egalitarianism in a class of Nash demand games," Theory and Decision, Springer, vol. 85(3), pages 495-508, October.
    3. Anbarci, Nejat & Feltovich, Nick, 2012. "Bargaining with random implementation: An experimental study," Games and Economic Behavior, Elsevier, vol. 76(2), pages 495-514.
    4. Johannes Spinnewijn & Frans Spinnewyn, 2015. "Revising claims and resisting ultimatums in bargaining problems," Review of Economic Design, Springer;Society for Economic Design, vol. 19(2), pages 91-116, June.
    5. Kang Rong, 2015. "Bargaining with split-the-difference arbitration," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(2), pages 441-455, September.
    6. Bochet, Olivier & Laurent-Lucchetti, Jeremy & Leroux, Justin & Sinclair-Desgagné, Bernard, 2019. "Collective risk-taking in the commons," Journal of Economic Behavior & Organization, Elsevier, vol. 163(C), pages 277-296.
    7. Rong Kang, 2012. "An Axiomatic Approach to Arbitration and its Application in Bargaining Games," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 12(1), pages 1-34, September.

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