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

  • Indrajit Ray
  • Susan Snyder

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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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
Contact details of provider: Postal: Edgbaston, Birmingham, B15 2TT
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  1. Laurens Cherchye & Thomas Demuynck & Bram De Rock, 2013. "Nash-Bargained Consumption Decisions: A Revealed Preference Analysis," ULB Institutional Repository 2013/131704, ULB -- Universite Libre de Bruxelles.
  2. Bossert, W. & Sprumont, Y., 2001. "Non-Deteriorating Choice," Cahiers de recherche 2001-01, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  3. Indrajit Ray & Lin Zhou, . "Game Theory Via Revealed Preferences," Discussion Papers 00/15, Department of Economics, University of York.
  4. Carvajal, Andrés & González, Natalia, 2014. "On refutability of the Nash bargaining solution," Journal of Mathematical Economics, Elsevier, vol. 50(C), pages 177-186.
  5. Ruediger Bachmann, 2006. "Testable Implications of Pareto Efficiency and Individualrationality," Economic Theory, Springer, vol. 29(3), pages 489-504, November.
  6. Bossert, Walter & Sprumont, Yves, 2000. "Core Rationalizability in Two-Agent Exchange Economies," Working Papers 2000-07, Rice University, Department of Economics.
  7. Bachmann, Ruediger, 2006. "Testable implications of coalitional rationality," Economics Letters, Elsevier, vol. 93(1), pages 101-105, October.
  8. BOSSERT, Walter & SPRUMONT, Yves, 2002. "Efficient and Non-Deteriorating Choice," Cahiers de recherche 2002-10, Universite de Montreal, Departement de sciences economiques.
  9. Gil Kalai & Ariel Rubinstein & Ran Spiegler, 2002. "Rationalizing Choice Functions By Multiple Rationales," Econometrica, Econometric Society, vol. 70(6), pages 2481-2488, November.
  10. Adam Galambos, 2005. "Revealed Preference in Game Theory," 2005 Meeting Papers 776, Society for Economic Dynamics.
  11. 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.
  12. Deb, Rahul, 2009. "A testable model of consumption with externalities," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1804-1816, July.
  13. Sprumont, Yves, 2000. "On the Testable Implications of Collective Choice Theories," Journal of Economic Theory, Elsevier, vol. 93(2), pages 205-232, August.
  14. 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.
  15. Xu, Yongsheng & Zhou, Lin, 2007. "Rationalizability of choice functions by game trees," Journal of Economic Theory, Elsevier, vol. 134(1), pages 548-556, May.
  16. Sen, Amartya K, 1971. "Choice Functions and Revealed Preference," Review of Economic Studies, Wiley Blackwell, vol. 38(115), pages 307-17, July.
  17. James Fenske & John Quah & Andres Carvajal, 2010. "Revealed Preference Tests of the Cournot Model," Economics Series Working Papers 506, University of Oxford, Department of Economics.
  18. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, June.
  19. BOSSERT, Walter & SPRUMONT, Yves, 2013. "Every Choice Function is Backwards-Induction Rationalizable," Cahiers de recherche 2013-01, Universite de Montreal, Departement de sciences economiques.
  20. Echenique, Federico & Chambers, Christopher P., 2014. "On the consistency of data with bargaining theories," Theoretical Economics, Econometric Society, vol. 9(1), January.
  21. Demuynck, Thomas & Lauwers, Luc, 2009. "Nash rationalization of collective choice over lotteries," Mathematical Social Sciences, Elsevier, vol. 57(1), pages 1-15, January.
  22. Diewert, W. E. & Parkan, C., 1985. "Tests for the consistency of consumer data," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 127-147.
  23. 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.
  24. Lee, SangMok, 2012. "The testable implications of zero-sum games," Journal of Mathematical Economics, Elsevier, vol. 48(1), pages 39-46.
  25. Sprumont, Yves, 2001. "Paretian Quasi-orders: The Regular Two-Agent Case," Journal of Economic Theory, Elsevier, vol. 101(2), pages 437-456, December.
  26. Andrés Carvajal, 2010. "The testable implications of competitive equilibrium in economies with externalities," Economic Theory, Springer, vol. 45(1), pages 349-378, October.
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