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Coalitional Rationalizability

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  • Ambrus, Attila

Abstract

This paper investigates how groups or coalitions of players can act in their collective interest in noncooperative normal form games even if equilibrium play is not assumed. The main idea is that each member of a coalition will confine play to a subset of their strategies if it is in their mutual interest to do so. An iterative procedure of restrictions is used to define a noncooperative solution concept, the set of coalitionally rationalizable strategies. The procedure is analogous to iterative deletion of never best response strategies, but operates on implicit agreements by different coalitions. The solution set is a nonempty subset of the rationalizable strategies.

Suggested Citation

  • Ambrus, Attila, 2006. "Coalitional Rationalizability," Scholarly Articles 3200266, Harvard University Department of Economics.
    • Handle: RePEc:hrv:faseco:3200266
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    References listed on IDEAS

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    Cited by:

    1. Ambrus, Attila, 2009. "Theories of coalitional rationality," Journal of Economic Theory, Elsevier, vol. 144(2), pages 676-695, March.
    2. Luo, Xiao & Yang, Chih-Chun, 2009. "Bayesian coalitional rationalizability," Journal of Economic Theory, Elsevier, vol. 144(1), pages 248-263, January.
    3. Xiao Luo & Xuewen Qian & Chen Qu, 2020. "Iterated elimination procedures," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(2), pages 437-465, September.
    4. Reisinger, Markus, 2014. "Two-part tariff competition between two-sided platforms," European Economic Review, Elsevier, vol. 68(C), pages 168-180.
    5. Grandjean, Gilles & Mantovani, Marco & Mauleon, Ana & Vannetelbosch, Vincent, 2017. "Communication structure and coalition-proofness – Experimental evidence," European Economic Review, Elsevier, vol. 94(C), pages 90-102.
    6. Gilles Grandjean & Ana Mauleon & Vincent Vannetelbosch, 2017. "Strongly rational sets for normal-form games," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(1), pages 35-46, April.
    7. Vartiainen, Hannu, 2011. "Dynamic coalitional equilibrium," Journal of Economic Theory, Elsevier, vol. 146(2), pages 672-698, March.
    8. Ambrus, Attila, 2009. "Theories of Coalitional Rationality," Scholarly Articles 3204917, Harvard University Department of Economics.

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