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Implementation of the recursive core for partition function form games

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  • Huang, Chen-Ying
  • Sjostrom, Tomas

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.
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  • Huang, Chen-Ying & Sjostrom, Tomas, 2006. "Implementation of the recursive core for partition function form games," Journal of Mathematical Economics, Elsevier, vol. 42(6), pages 771-793, September.
  • Handle: RePEc:eee:mateco:v:42:y:2006:i:6:p:771-793
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    References listed on IDEAS

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    1. Perry, Motty & Reny, Philip J, 1994. "A Noncooperative View of Coalition Formation and the Core," Econometrica, Econometric Society, vol. 62(4), pages 795-817, July.
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    6. Tadenuma, K, 1992. "Reduced Games, Consistency, and the Core," International Journal of Game Theory, Springer;Game Theory Society, vol. 20(4), pages 325-334.
    7. Peleg, B, 1986. "On the Reduced Game Property and Its Converse," International Journal of Game Theory, Springer;Game Theory Society, vol. 15(3), pages 187-200.
    8. Roberto Serrano & Rajiv Vohra, 1997. "Non-cooperative implementation of the core," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 14(4), pages 513-525.
    9. Yi, Sang-Seung, 1997. "Stable Coalition Structures with Externalities," Games and Economic Behavior, Elsevier, vol. 20(2), pages 201-237, August.
    10. Francis Bloch, 1995. "Endogenous Structures of Association in Oligopolies," RAND Journal of Economics, The RAND Corporation, vol. 26(3), pages 537-556, Autumn.
    11. Ray, Debraj, 1989. "Credible Coalitions and the Core," International Journal of Game Theory, Springer;Game Theory Society, vol. 18(2), pages 185-187.
    12. Huang, Chen-Ying & Sjostrom, Tomas, 2003. "Consistent solutions for cooperative games with externalities," Games and Economic Behavior, Elsevier, vol. 43(2), pages 196-213, May.
    13. Raymond Deneckere & Carl Davidson, 1985. "Incentives to Form Coalitions with Bertrand Competition," RAND Journal of Economics, The RAND Corporation, vol. 16(4), pages 473-486, Winter.
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    Cited by:

    1. Kóczy, LászlóÁ., 2015. "Stationary consistent equilibrium coalition structures constitute the recursive core," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 104-110.
    2. 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.
    3. 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.
    4. 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.
    5. Kóczy László à ., 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).
    6. László Á. Kóczy, 2009. "Stationary consistent equilibrium coalition structures constitute the recursive core," Working Paper Series 0905, Óbuda University, Keleti Faculty of Business and Management.
    7. 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.

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