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Revealed preferences of individual players in sequential games

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  • Nishimura, Hiroki

Abstract

This paper studies rational choice behavior of a player in sequential games of perfect and complete information without an assumption that the other players who join the same games are rational. The model of individually rational choice is defined through a decomposition of the behavioral norm assumed in the subgame perfect equilibria, and we propose a set of axioms on collective choice behavior that characterize the individual rationality obtained as such. As the choice of subgame perfect equilibrium paths is a special case where all players involved in the choice environment are each individually rational, the paper offers testable characterizations of both individual rationality and collective rationality in sequential games.

Suggested Citation

  • Nishimura, Hiroki, 2021. "Revealed preferences of individual players in sequential games," Journal of Mathematical Economics, Elsevier, vol. 96(C).
    • Handle: RePEc:eee:mateco:v:96:y:2021:i:c:s0304406821000859
    DOI: 10.1016/j.jmateco.2021.102522
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    References listed on IDEAS

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    1. Binmore, Ken & McCarthy, John & Ponti, Giovanni & Samuelson, Larry & Shaked, Avner, 2002. "A Backward Induction Experiment," Journal of Economic Theory, Elsevier, vol. 104(1), pages 48-88, May.
    2. Ray, Indrajit & Zhou, Lin, 2001. "Game Theory via Revealed Preferences," Games and Economic Behavior, Elsevier, vol. 37(2), pages 415-424, November.
    3. Carvajal, Andrés & González, Natalia, 2014. "On refutability of the Nash bargaining solution," Journal of Mathematical Economics, Elsevier, vol. 50(C), pages 177-186.
    4. Sprumont, Yves, 2000. "On the Testable Implications of Collective Choice Theories," Journal of Economic Theory, Elsevier, vol. 93(2), pages 205-232, August.
    5. Hiroki Nishimura & Efe A. Ok & John K.-H. Quah, 2017. "A Comprehensive Approach to Revealed Preference Theory," American Economic Review, American Economic Association, vol. 107(4), pages 1239-1263, April.
    6. Walter Bossert & Yves Sprumont, 2013. "Every Choice Function Is Backwards‐Induction Rationalizable," Econometrica, Econometric Society, vol. 81(6), pages 2521-2534, November.
    7. Ailin Leng & Lana Friesen & Kenan Kalayci & Priscilla Man, 2018. "A minimum effort coordination game experiment in continuous time," Experimental Economics, Springer;Economic Science Association, vol. 21(3), pages 549-572, September.
    8. Andrés Carvajal & Rahul Deb & James Fenske & John K.‐H. Quah, 2013. "Revealed Preference Tests of the Cournot Model," Econometrica, Econometric Society, vol. 81(6), pages 2351-2379, November.
    9. R. H. Strotz, 1955. "Myopia and Inconsistency in Dynamic Utility Maximization," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 23(3), pages 165-180.
    10. Pierre-André Chiappori & Olivier Donni & Ivana Komunjer, 2012. "Learning from a Piece of Pie," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 79(1), pages 162-195.
    11. Faruk Gul & Wolfgang Pesendorfer, 2005. "The Revealed Preference Theory of Changing Tastes," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(2), pages 429-448.
    12. Amartya K. Sen, 1971. "Choice Functions and Revealed Preference," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(3), pages 307-317.
    13. Pearce, David G, 1984. "Rationalizable Strategic Behavior and the Problem of Perfection," Econometrica, Econometric Society, vol. 52(4), pages 1029-1050, July.
    14. Rehbeck, John, 2014. "Every choice correspondence is backwards-induction rationalizable," Games and Economic Behavior, Elsevier, vol. 88(C), pages 207-210.
    15. Pablo Schenone, 2020. "Revealed Preference Implications of Backward Induction and Subgame Perfection," American Economic Journal: Microeconomics, American Economic Association, vol. 12(2), pages 230-256, May.
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