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The Hybrid Solutions of an n-Person Game

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  • Jingang Zhao

Abstract

We introduce a solution concept intermediate between the cooperative and noncooperative solutions of an n-person game in normal form. Consider a partition p of the players, with each s in p a coalition. A joint strategy x = {x_{s}|s in p} is a hybrid solution for the partition p if, for each s in p, x_{s} is a core solution of the corresponding parametric subgame, where this game is played by the players in s and is parameterized by x_{-s}, the strategies played by all outside players. This assumes that players behave cooperatively within each coalition and competitively across coalitions. Sufficient conditions are given for a general n-person game to have hybrid solutions for any partition.

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File URL: http://cowles.econ.yale.edu/P/cd/d09b/d0956.pdf
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Bibliographic Info

Paper provided by Cowles Foundation for Research in Economics, Yale University in its series Cowles Foundation Discussion Papers with number 956.

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Length: 21 pages
Date of creation: Sep 1990
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Publication status: Published in Games and Economic Behavior (January 1992), 4(1): 145-160
Handle: RePEc:cwl:cwldpp:956

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  1. Ichiishi, Tatsuro, 1981. "A Social Coalitional Equilibrium Existence Lemma," Econometrica, Econometric Society, vol. 49(2), pages 369-77, March.
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Cited by:
  1. Effrosyni Diamantoudi & Licun Xue, . "Coalitions, Agreements and Efficiency," Economics Working Papers 2002-9, School of Economics and Management, University of Aarhus.
  2. Beth Allen, 2000. "The Future of Microeconomic Theory," Journal of Economic Perspectives, American Economic Association, vol. 14(1), pages 143-150, Winter.
  3. Zhao, Jingang, 1996. "The hybrid equilibria and core selection in exchange economies with externalities," Journal of Mathematical Economics, Elsevier, vol. 26(4), pages 387-407.
  4. Debraj Ray & Rajiv Vohra, 2013. "Coalition Formation," Working Papers 2013-1, Brown University, Department of Economics.
  5. Martinez, Emmanuel & Tazdaït, Tarik & Tovar, Elisabeth, 2008. "Participative democracy and local environmental issues," Ecological Economics, Elsevier, vol. 68(1-2), pages 68-79, December.
  6. Sonja Brangewitz & Sarah Brockhoff, 2012. "Stability of Coalitional Equilibria within Repeated Tax Competition," Working Papers 48, University of Paderborn, CIE Center for International Economics.
  7. Jingang Zhao, 1998. "Non-Empty Core as a Precondition for Horizontal Merger: Core Existence without Using Balancedness," Working Papers 98-07, Ohio State University, Department of Economics.
  8. Eric Howe & Jingang Zhao, 2004. "Merger Incentives and Inverse Matrices from Bertrand Competition," Econometric Society 2004 North American Summer Meetings 586, Econometric Society.
  9. Sonja Brangewitz & Sarah Brockhoff, 2012. "Stability of Coalitional Equilibria within Repeated Tax Competition," Working Papers 461, Bielefeld University, Center for Mathematical Economics.
  10. McCain, Roger A., 2008. "Cooperative games and cooperative organizations," The Journal of Socio-Economics, Elsevier, vol. 37(6), pages 2155-2167, December.
  11. Jingang Zhao, 2009. "Estimating Merging Costs by Merger Preconditions," Theory and Decision, Springer, vol. 66(4), pages 373-399, April.
  12. Subhadip Chakrabarti & Robert Gilles & Emiliya Lazarova, 2011. "Strategic behavior under partial cooperation," Theory and Decision, Springer, vol. 71(2), pages 175-193, August.
  13. Hafalir, Isa E., 2007. "Efficiency in coalition games with externalities," Games and Economic Behavior, Elsevier, vol. 61(2), pages 242-258, November.
  14. Ferreira, Jose Luis, 1999. "Endogenous Formation of Coalitions in Noncooperative Games," Games and Economic Behavior, Elsevier, vol. 26(1), pages 40-58, January.

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