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Theories of Coalitional Rationality

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  • Ambrus, Attila
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    Abstract

    This paper generalizes the concept of best response to coalitions of players and offers epistemic definitions of coalitional rationalizability in normal form games. The (best) response of a coalition is defined to be an operator from sets of conjectures to sets of strategies. A strategy is epistemic coalitionally rationalizable if it is consistent with rationality and common certainty that every coalition is rational. A characterization of this solution set is provided for operators satisfying four basic properties. Special attention is devoted to an operator that leads to a solution concept that is generically equivalent to the iteratively defined concept of coalitional rationalizability.

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    File URL: http://dash.harvard.edu/bitstream/handle/1/3204917/Ambrus_TheoriesCoalitional.pdf
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    Bibliographic Info

    Paper provided by Harvard University Department of Economics in its series Scholarly Articles with number 3204917.

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    Date of creation: 2009
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    Publication status: Published in Journal of Economic Theory
    Handle: RePEc:hrv:faseco:3204917

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    1. Licun Xue, 1998. "Coalitional stability under perfect foresight," Economic Theory, Springer, vol. 11(3), pages 603-627.
    2. Giacomo Bonanno & Pierpaolo Battigalli, 2003. "Recent Results On Belief, Knowledge And The Epistemic Foundations Of Game Theory," Working Papers 9814, University of California, Davis, Department of Economics.
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    4. Ambrus, Attila, 2006. "Coalitional Rationalizability," Scholarly Articles 3200266, Harvard University Department of Economics.
    5. Benoit, Jean-Pierre & Krishna, Vijay, 1993. "Renegotiation in Finitely Repeated Games," Econometrica, Econometric Society, vol. 61(2), pages 303-23, March.
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    8. Milgrom, Paul & Roberts, John, 1991. "Adaptive and sophisticated learning in normal form games," Games and Economic Behavior, Elsevier, vol. 3(1), pages 82-100, February.
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    10. Epstein, Larry G., 1997. "Preference, Rationalizability and Equilibrium," Journal of Economic Theory, Elsevier, vol. 73(1), pages 1-29, March.
    11. Bernheim, B Douglas, 1984. "Rationalizable Strategic Behavior," Econometrica, Econometric Society, vol. 52(4), pages 1007-28, July.
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    17. Abrea Dilip & Pearce David & Stacchetti Ennio, 1993. "Renegotiation and Symmetry in Repeated Games," Journal of Economic Theory, Elsevier, vol. 60(2), pages 217-240, August.
    18. Perry, M. & Rany, P., 1992. "A Non-Cooperative View of Coalition Formation and the Core," UWO Department of Economics Working Papers 9203, University of Western Ontario, Department of Economics.
    19. Ray, D. & Vohra, R., 1993. "Equilibrium Binding Agreements," Papers 21, Boston University - Department of Economics.
    20. Joseph Farrell and Eric Maskin., 1987. "Renegotiation in Repeated Games," Economics Working Papers 8759, University of California at Berkeley.
    21. Chatterjee, Kalyan & Bhaskar Dutta & Debraj Ray & Kunal Sengupta, 1993. "A Noncooperative Theory of Coalitional Bargaining," Review of Economic Studies, Wiley Blackwell, vol. 60(2), pages 463-77, April.
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    Cited by:
    1. Grandjean Gilles & Mauleon Ana & Vannetelbosch Vincent, 2009. "Strongly Rational Sets for Normal-Form Games," Research Memorandum 059, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    2. Newton, Jonathan, 2012. "Coalitional stochastic stability," Games and Economic Behavior, Elsevier, vol. 75(2), pages 842-854.

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