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Implementation of the Recursive Core for Partition Function Form Games

Author

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  • Chen Ying Huang

    () (National Taiwan University)

  • Tomas Sjostrom

    () (Department of Economics, Rutgers University)

Abstract

In partition function form games, the recursive core (r-core) is implemented by a modified version of Perry and Reny’s (1994) non-cooperative game. Specifically, every stationary subgame perfect Nash equilibrium (SSPNE) outcome is an r-core outcome. With the additional assumption of total r-balancedness, every r-core outcome is an SSPNE outcome.

Suggested Citation

  • Chen Ying Huang & Tomas Sjostrom, 2005. "Implementation of the Recursive Core for Partition Function Form Games," Economics Working Papers 0052, Institute for Advanced Study, School of Social Science.
  • Handle: RePEc:ads:wpaper:0052
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    References listed on IDEAS

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    Cited by:

    1. Kóczy, L.Á., 2008. "Stationary quasi-perfect equilibrium partitions constitute the recursive core," Research Memorandum 028, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    2. Chen-Ying Huang & Tomas Sjöström, 2010. "The Recursive Core for Non-Superadditive Games," Games, MDPI, Open Access Journal, vol. 1(2), pages 1-23, April.
    3. Kóczy, LászlóÁ., 2015. "Stationary consistent equilibrium coalition structures constitute the recursive core," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 104-110.
    4. Kóczy, László Á., 2009. "Sequential coalition formation and the core in the presence of externalities," Games and Economic Behavior, Elsevier, vol. 66(1), pages 559-565, May.
    5. Borm, Peter & Ju, Yuan & Wettstein, David, 2015. "Rational bargaining in games with coalitional externalities," Journal of Economic Theory, Elsevier, vol. 157(C), pages 236-254.
    6. László Á. Kóczy & Péter Biró & Balázs Sziklai, 2012. "Fair apportionment of voting districts in Hungary?," Working Paper Series 1204, Óbuda University, Keleti Faculty of Business and Management.
    7. László Á. Kóczy, 2018. "Partition Function Form Games," Theory and Decision Library C, Springer, number 978-3-319-69841-0, December.
    8. Okada, Akira, 2010. "The Nash bargaining solution in general n-person cooperative games," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2356-2379, November.

    More about this item

    Keywords

    REcursive Core; Nash Equilibrium; Partition Function Form Games;

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