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Strategic equivalence and bounded rationality in extensive form games

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  • Voorneveld, Mark

    ()
    (Dept. of Economics, Stockholm School of Economics)

  • Fagraeus Lundström, Helena

    (Dept. of Mathematics, Royal Institute of Technology, Stockholm, Sweden)

Abstract

In a large family of solution concepts for boundedly rational players --- allowing players to be imperfect optimizers, but requiring that ``better'' responses are chosen with probabilities at least as high as those of ``worse'' responses --- most of Thompson's ``inessential'' transformations for the strategic equivalence of extensive form games become far from inconsequential. Only two of the usual elementary transformations remain truly inessential: the interchange of moves, and replacing a final move by nature by simply taking expected payoffs.

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Bibliographic Info

Paper provided by Stockholm School of Economics in its series Working Paper Series in Economics and Finance with number 605.

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Length: 15 pages
Date of creation: 13 Oct 2005
Date of revision:
Handle: RePEc:hhs:hastef:0605

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Keywords: Extensive form games; Quantal response equilibrium; Logit model; Strategic equivalence;

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  1. Train,Kenneth E., 2009. "Discrete Choice Methods with Simulation," Cambridge Books, Cambridge University Press, number 9780521766555, October.
  2. Mark Voorneveld, 2006. "Probabilistic Choice in Games: Properties of Rosenthal’s t-Solutions," International Journal of Game Theory, Springer, vol. 34(1), pages 105-121, April.
  3. Jacob Goeree & Charles Holt & Thomas Palfrey, 2005. "Regular Quantal Response Equilibrium," Experimental Economics, Springer, vol. 8(4), pages 347-367, December.
  4. E. Kohlberg & J.-F. Mertens, 1998. "On the Strategic Stability of Equilibria," Levine's Working Paper Archive 445, David K. Levine.
  5. McKelvey Richard D. & Palfrey Thomas R., 1995. "Quantal Response Equilibria for Normal Form Games," Games and Economic Behavior, Elsevier, vol. 10(1), pages 6-38, July.
  6. Tversky, Amos & Kahneman, Daniel, 1986. "Rational Choice and the Framing of Decisions," The Journal of Business, University of Chicago Press, vol. 59(4), pages S251-78, October.
  7. Richard Mckelvey & Thomas Palfrey, 1998. "Quantal Response Equilibria for Extensive Form Games," Experimental Economics, Springer, vol. 1(1), pages 9-41, June.
  8. Elmes Susan & Reny Philip J., 1994. "On the Strategic Equivalence of Extensive Form Games," Journal of Economic Theory, Elsevier, vol. 62(1), pages 1-23, February.
  9. Jacob K. Goeree & Charles A. Holt, 2001. "Ten Little Treasures of Game Theory and Ten Intuitive Contradictions," American Economic Review, American Economic Association, vol. 91(5), pages 1402-1422, December.
  10. Rosenthal, Robert W, 1989. "A Bounded-Rationality Approach to the Study of Noncooperative Games," International Journal of Game Theory, Springer, vol. 18(3), pages 273-91.
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