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Every Choice Function is Backwards-Induction Rationalizable

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  • BOSSERT, Walter
  • SPRUMONT, Yves

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: https://papyrus.bib.umontreal.ca/jspui/handle/1866/9034
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Bibliographic Info

Paper provided by Universite de Montreal, Departement de sciences economiques in its series Cahiers de recherche with number 2013-01.

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Length: 16 pages
Date of creation: 2013
Date of revision:
Handle: RePEc:mtl:montde:2013-01

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  1. 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.
  2. Xu, Yongsheng & Zhou, Lin, 2007. "Rationalizability of choice functions by game trees," Journal of Economic Theory, Elsevier, vol. 134(1), pages 548-556, May.
  3. Sprumont, Yves, 2000. "On the Testable Implications of Collective Choice Theories," Journal of Economic Theory, Elsevier, vol. 93(2), pages 205-232, August.
  4. Lee, SangMok, 2012. "The testable implications of zero-sum games," Journal of Mathematical Economics, Elsevier, vol. 48(1), pages 39-46.
  5. Indra Ray & Susan Snyder, 2003. "Observable Implications of Nash and Subgame-Perfect Behavior in Extensive Games," Working Papers 2003-02, Brown University, Department of Economics.
  6. Indrajit Ray & Lin Zhou, . "Game Theory Via Revealed Preferences," Discussion Papers 00/15, Department of Economics, University of York.
  7. Mantel, Rolf R., 1974. "On the characterization of aggregate excess demand," Journal of Economic Theory, Elsevier, vol. 7(3), pages 348-353, March.
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Cited by:
  1. Indra Ray & Susan Snyder, 2003. "Observable Implications of Nash and Subgame-Perfect Behavior in Extensive Games," Working Papers 2003-02, Brown University, Department of Economics.

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