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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. 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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    4. Casajus, André, 2009. "Outside options, component efficiency, and stability," Games and Economic Behavior, Elsevier, vol. 65(1), pages 49-61, January.
    5. Roger B. Myerson, 1977. "Graphs and Cooperation in Games," Mathematics of Operations Research, INFORMS, vol. 2(3), pages 225-229, August.
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    7. Harald Wiese, 2007. "Measuring The Power Of Parties Within Government Coalitions," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 9(02), pages 307-322.
    8. Andreas Tutic & Stefan Pfau & André Casajus, 2011. "Experiments on bilateral bargaining in markets," Theory and Decision, Springer, vol. 70(4), pages 529-546, April.
    9. Guillaume Haeringer, 1999. "Weighted Myerson Value," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 1(02), pages 187-192.
    10. Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-1064, July.
    11. Casajus, André, 2008. "On the stability of coalition structures," Economics Letters, Elsevier, vol. 100(2), pages 271-274, August.
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