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Every Choice Function Is Backwards‐Induction Rationalizable

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Listed author(s):
  • Walter Bossert
  • Yves Sprumont

Abstract

A choice function is backwards-induction rationalizable if there exists a finite perfect-information extensive-form game such that, for each subset of alternatives, the backwards-induction outcome of the restriction of the game to that subset of alternatives coincides with the choice from that subset. We prove that every choice function is backwards-induction rationalizable.

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File URL: http://hdl.handle.net/10.3982/
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Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 81 (2013)
Issue (Month): 6 (November)
Pages: 2521-2534

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Handle: RePEc:ecm:emetrp:v:81:y:2013:i:6:p:2521-2534
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Find related papers by JEL classification:
  • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
  • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General

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  1. Mantel, Rolf R., 1974. "On the characterization of aggregate excess demand," Journal of Economic Theory, Elsevier, vol. 7(3), pages 348-353, March.
  2. Ray, Indrajit & Zhou, Lin, 2001. "Game Theory via Revealed Preferences," Games and Economic Behavior, Elsevier, vol. 37(2), pages 415-424, November.
  3. Ray, Indrajit & Snyder, Susan, 2013. "Observable implications of Nash and subgame-perfect behavior in extensive games," Journal of Mathematical Economics, Elsevier, vol. 49(6), pages 471-477.
  4. Xu, Yongsheng & Zhou, Lin, 2007. "Rationalizability of choice functions by game trees," Journal of Economic Theory, Elsevier, vol. 134(1), pages 548-556, May.
  5. Lee, SangMok, 2012. "The testable implications of zero-sum games," Journal of Mathematical Economics, Elsevier, vol. 48(1), pages 39-46.
  6. Sonnenschein, Hugo, 1973. "Do Walras' identity and continuity characterize the class of community excess demand functions?," Journal of Economic Theory, Elsevier, vol. 6(4), pages 345-354, August.
  7. Adam Galambos, 2005. "Revealed Preference in Game Theory," 2005 Meeting Papers 776, Society for Economic Dynamics.
  8. Ray, Indrajit & Snyder, Susan, 2013. "Observable implications of Nash and subgame-perfect behavior in extensive games," Journal of Mathematical Economics, Elsevier, vol. 49(6), pages 471-477.
  9. Sprumont, Yves, 2000. "On the Testable Implications of Collective Choice Theories," Journal of Economic Theory, Elsevier, vol. 93(2), pages 205-232, August.
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Cited by:

  1. Ray, Indrajit & Snyder, Susan, 2013. "Observable implications of Nash and subgame-perfect behavior in extensive games," Journal of Mathematical Economics, Elsevier, vol. 49(6), pages 471-477.
  2. García-Sanz, María D. & Alcantud, José Carlos R., 2015. "Sequential rationalization of multivalued choice," Mathematical Social Sciences, Elsevier, vol. 74(C), pages 29-33.
  3. Lee, Byung Soo & Stewart, Colin, 2016. "Identification of payoffs in repeated games," Games and Economic Behavior, Elsevier, vol. 99(C), pages 82-88.
  4. Rehbeck, John, 2014. "Every choice correspondence is backwards-induction rationalizable," Games and Economic Behavior, Elsevier, vol. 88(C), pages 207-210.

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