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Nash bargaining, Shapley threats, and outside options

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  • Casajus, André
  • Tutić, Andreas

Abstract

We introduce a weighted version of the component efficient χ-value [Casajus, A., 2009. Outside options, component efficiency, and stability. Games and Economic Behavior 65 (1), 49–61] for TU games with a coalition structure. We provide characterizations both for a symmetric and for an asymmetric treatment of outside options. Further, the stability of coalition structures is explored. These concepts are applied to apex games.

Suggested Citation

  • Casajus, André & Tutić, Andreas, 2013. "Nash bargaining, Shapley threats, and outside options," Mathematical Social Sciences, Elsevier, vol. 66(3), pages 262-267.
    • Handle: RePEc:eee:matsoc:v:66:y:2013:i:3:p:262-267
    DOI: 10.1016/j.mathsocsci.2013.05.006
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    References listed on IDEAS

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    1. Roth, Alvin, 2012. "The Shapley Value as a von Neumann-Morgenstern Utility," Ekonomicheskaya Politika / Economic Policy, Russian Presidential Academy of National Economy and Public Administration, vol. 6, pages 1-9.
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    6. Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-518, May.
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    8. Marco Mariotti & Antonio Villar, 2005. "The Nash rationing problem," International Journal of Game Theory, Springer;Game Theory Society, vol. 33(3), pages 367-377, September.
    9. Andreas Tutic & Stefan Pfau & André Casajus, 2011. "Experiments on bilateral bargaining in markets," Theory and Decision, Springer, vol. 70(4), pages 529-546, April.
    10. Guillaume Haeringer, 1999. "Weighted Myerson Value," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 1(02), pages 187-192.
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