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On the Relation Between Perfect Equilibria in Extensive Form Games and Proper Equilibria in Normal Form Games

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Author Info

  • John Hillas

    (SUNY at Stony Brook)

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    Abstract

    This paper examines the question of the extent to which it is true that any equilibrium that is quasi-perfect in any extensive form game having a given normal form is necessarily proper. If one fixes not only the equilibrium in question but also a a sequence of completely mixed strategies converging to that equilibrium then indeed the notions are equivalent. However the stronger result is not true. An example of a normal form game is given in which there is an equilibrium that is quasi-perfect in any extensive form game having a given normal form but not proper.

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    File URL: http://128.118.178.162/eps/game/papers/9605/9605002.pdf
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    File URL: http://128.118.178.162/eps/game/papers/9605/9605002.ps.gz
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    Bibliographic Info

    Paper provided by EconWPA in its series Game Theory and Information with number 9605002.

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    Length: 1 pages
    Date of creation: 14 May 1996
    Date of revision: 14 May 1996
    Handle: RePEc:wpa:wuwpga:9605002

    Note: Type of Document - AMSLaTeX2e; prepared on IBM PC - emTeX; to print on PostScript; pages: 1 + 9 ; figures: included
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    Web page: http://128.118.178.162

    Related research

    Keywords: perfect equilibrium; quasi-perfect equilibrium; proper equilibrium; strategicý equilibrium.;

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    References

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    1. Kohlberg, Elon & Mertens, Jean-Francois, 1986. "On the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 54(5), pages 1003-37, September.
    2. David Kreps & Robert Wilson, 1998. "Sequential Equilibria," Levine's Working Paper Archive 237, David K. Levine.
    3. Mailath, G.J. & Samuelson, L., 1996. "How Proper Is Sequential Equilibrium?," Working papers 9611r, Wisconsin Madison - Social Systems.
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    Citations

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    Cited by:
    1. Srihari Govindan & Robert Wilson, 2007. "On Forward Induction," Levine's Bibliography 321307000000000788, UCLA Department of Economics.
    2. John Hillas & Elon Kohlberg, 1996. "Foundations of Strategic Equilibrium," Game Theory and Information 9606002, EconWPA, revised 18 Sep 1996.

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