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Observable Implications of Nash and Subgame- Perfect Behavior in Extensive Games

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Author Info

  • Indrajit Ray
  • Susan Snyder

Abstract

We provide necessary and sufficient conditions for observed outcomes in extensive game forms, in which preferences are unobserved, to be rationalized first, weakly, as a Nash equilibrium and then, fully, as the unique subgame-perfect equilibrium. Thus, one could use these conditions to find that play is (a) consistent with subgame-perfect equilibrium, or (b) not consistent with subgame-perfect behavior but is consistent with Nash equilibrium, or (c) consistent with neither.

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File URL: ftp://ftp.bham.ac.uk/pub/RePEc/pdf/04-14R.pdf
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Bibliographic Info

Paper provided by Department of Economics, University of Birmingham in its series Discussion Papers with number 04-14r.

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Length: 19 pages
Date of creation: Apr 2013
Date of revision:
Handle: RePEc:bir:birmec:04-14r

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Postal: Edgbaston, Birmingham, B15 2TT
Web page: http://www.economics.bham.ac.uk
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Related research

Keywords: Revealed Preference; Consistency; Subgame- Perfect Equilibrium;

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  1. Ruediger Bachmann, 2006. "Testable Implications of Pareto Efficiency and Individualrationality," Economic Theory, Springer, vol. 29(3), pages 489-504, November.
  2. Walter Bossert & Yves Sprumont, 2013. "Every Choice Function is Backwards-Induction Rationalizable," Cahiers de recherche 01-2013, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  3. Bossert, W. & Sprumont, Y., 2000. "Core Retionalizability in Two-Agent Exchange Economies," Cahiers de recherche 2000-09, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  4. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, January.
  5. Bossert, Walter & Sprumont, Yves, 2003. "Efficient and non-deteriorating choice," Mathematical Social Sciences, Elsevier, vol. 45(2), pages 131-142, April.
  6. Xu, Yongsheng & Zhou, Lin, 2007. "Rationalizability of choice functions by game trees," Journal of Economic Theory, Elsevier, vol. 134(1), pages 548-556, May.
  7. 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.
  8. Gil Kalai & Ariel Rubinstein & Ran Spiegler, 2001. "Rationalizing Choice Functions by Multiple Rationales," Discussion Paper Series dp278, The Center for the Study of Rationality, Hebrew University, Jerusalem.
  9. BOSSERT, Walter & SPRUMONT, Yves, 2001. "Non-Deteriorating Choice," Cahiers de recherche 2001-01, Universite de Montreal, Departement de sciences economiques.
  10. Demuynck, Thomas & Lauwers, Luc, 2009. "Nash rationalization of collective choice over lotteries," Mathematical Social Sciences, Elsevier, vol. 57(1), pages 1-15, January.
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  12. Bachmann, Ruediger, 2006. "Testable implications of coalitional rationality," Economics Letters, Elsevier, vol. 93(1), pages 101-105, October.
  13. Indrajit Ray & Lin Zhou, . "Game Theory Via Revealed Preferences," Discussion Papers 00/15, Department of Economics, University of York.
  14. Sprumont, Yves, 2001. "Paretian Quasi-orders: The Regular Two-Agent Case," Journal of Economic Theory, Elsevier, vol. 101(2), pages 437-456, December.
  15. Lee, SangMok, 2012. "The testable implications of zero-sum games," Journal of Mathematical Economics, Elsevier, vol. 48(1), pages 39-46.
  16. Carvajal, Andres & Ray, Indrajit & Snyder, Susan, 2004. "Equilibrium behavior in markets and games: testable restrictions and identification," Journal of Mathematical Economics, Elsevier, vol. 40(1-2), pages 1-40, February.
  17. Sen, Amartya K, 1971. "Choice Functions and Revealed Preference," Review of Economic Studies, Wiley Blackwell, vol. 38(115), pages 307-17, July.
  18. Sprumont, Yves, 2000. "On the Testable Implications of Collective Choice Theories," Journal of Economic Theory, Elsevier, vol. 93(2), pages 205-232, August.
  19. Penalva Jose & Ryall Michael D, 2008. "Empirical Implications of Information Structure in Finite Extensive Form Games," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 8(1), pages 1-49, January.
  20. Andrés Carvajal, 2010. "The testable implications of competitive equilibrium in economies with externalities," Economic Theory, Springer, vol. 45(1), pages 349-378, October.
  21. Lin Zhou, 2005. "The structure of the Nash equilibrium sets of standard 2-player games," Economic Theory, Springer, vol. 26(2), pages 301-308, 08.
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Citations

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Cited by:
  1. Pierre-André Chiappori & Olivier Donni, 2006. "Learning from a Piece of Pie: the Empirical Content of Nash Bargaining," Cahiers de recherche 0619, CIRPEE.
  2. Walter Bossert & Yves Sprumont, 2013. "Every Choice Function Is Backwards‐Induction Rationalizable," Econometrica, Econometric Society, vol. 81(6), pages 2521-2534, November.
  3. Lee, SangMok, 2012. "The testable implications of zero-sum games," Journal of Mathematical Economics, Elsevier, vol. 48(1), pages 39-46.

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