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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. Battigalli, Pierpaolo & Bonanno, Giacomo, 1999. "Recent results on belief, knowledge and the epistemic foundations of game theory," Research in Economics, Elsevier, vol. 53(2), pages 149-225, June.
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    9. Roger B. Myerson, 1986. "Credible Negotiation Statements and Coherent Plans," Discussion Papers 691, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
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    16. Ambrus, Attila, 2006. "Coalitional Rationalizability," Scholarly Articles 3200266, Harvard University Department of Economics.
    17. Benoit, Jean-Pierre & Krishna, Vijay, 1993. "Renegotiation in Finitely Repeated Games," Econometrica, Econometric Society, vol. 61(2), pages 303-23, March.
    18. Licun Xue, 1998. "Coalitional stability under perfect foresight," Economic Theory, Springer, vol. 11(3), pages 603-627.
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    20. Epstein, Larry G., 1997. "Preference, Rationalizability and Equilibrium," Journal of Economic Theory, Elsevier, vol. 73(1), pages 1-29, March.
    21. Mariotti, Marco, 1997. "A Model of Agreements in Strategic Form Games," Journal of Economic Theory, Elsevier, vol. 74(1), pages 196-217, May.
    22. Brandenburger Adam & Dekel Eddie, 1993. "Hierarchies of Beliefs and Common Knowledge," Journal of Economic Theory, Elsevier, vol. 59(1), pages 189-198, February.
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    Cited by:
    1. GRANDJEAN, Gilles & MAULEON, Ana & VANNETELBOSCH, Vincent, 2009. "Strongly rational sets for normal-form games," CORE Discussion Papers 2009066, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).

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