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Contemporaneous perfect Epsilon-equilibria

Author

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  • Mailath,G.J.
  • Postlewaite,A.
  • Samuelson,L.

    (University of Wisconsin-Madison, Social Systems Research Institute)

Abstract

We examine contemporaneous perfect epsilon-equilibria, in which a player’s actions after every history, evaluated at the point of deviation from the equilibrium, must be within epsilon of a best response. This concept implies, but is stronger than, Radner’s ex ante perfect epsilon-equilibrium. A strategy profile is a contemporaneous perfect epsilon-equilibrium of a game if it is a subgame perfect equilibrium in a perturbed game with nearly the same payoffs, with the converse holding for pure equilibria.
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Suggested Citation

  • Mailath,G.J. & Postlewaite,A. & Samuelson,L., 2002. "Contemporaneous perfect Epsilon-equilibria," Working papers 5, Wisconsin Madison - Social Systems.
  • Handle: RePEc:att:wimass:20025
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    File URL: http://www.ssc.wisc.edu/~larrysam/papers/epsilon.pdf
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    References listed on IDEAS

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    1. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
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    4. Drew Fudenberg & David Levine, 2008. "Subgame–Perfect Equilibria of Finite– and Infinite–Horizon Games," World Scientific Book Chapters,in: A Long-Run Collaboration On Long-Run Games, chapter 1, pages 3-20 World Scientific Publishing Co. Pte. Ltd..
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    8. Radner, Roy, 1980. "Collusive behavior in noncooperative epsilon-equilibria of oligopolies with long but finite lives," Journal of Economic Theory, Elsevier, vol. 22(2), pages 136-154, April.
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    Cited by:

    1. repec:eee:jetheo:v:169:y:2017:i:c:p:145-169 is not listed on IDEAS
    2. Felix Kubler & Karl Schmedders, 2003. "Approximate Versus Exact Equilibria," Discussion Papers 1382, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    3. Elena Parilina & Georges Zaccour, 2016. "Strategic Support of Node-Consistent Cooperative Outcomes in Dynamic Games Played Over Event Trees," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 18(02), pages 1-16, June.
    4. Schlag, Karl H. & Zapechelnyuk, Andriy, 2017. "Dynamic benchmark targeting," Journal of Economic Theory, Elsevier, vol. 169(C), pages 145-169.
    5. Barlo, Mehmet & Carmona, Guilherme, 2007. "One - Memory in Repeated Games," FEUNL Working Paper Series wp500, Universidade Nova de Lisboa, Faculdade de Economia.
    6. Karl Schlag & Andriy Zapechelnyuk, 2009. "Decision Making in Uncertain and Changing Environments," Discussion Papers 19, Kyiv School of Economics.
    7. Simon Martin & Karl H. Schlag, 2017. "Finite Horizon Holdup and How to Cross the River," Vienna Economics Papers 1706, University of Vienna, Department of Economics.
    8. János Flesch & Arkadi Predtetchinski, 2016. "On refinements of subgame perfect $$\epsilon $$ ϵ -equilibrium," International Journal of Game Theory, Springer;Game Theory Society, vol. 45(3), pages 523-542, August.
    9. Jackson, Matthew O. & Rodriguez-Barraquer, Tomas & Tan, Xu, 2012. "Epsilon-equilibria of perturbed games," Games and Economic Behavior, Elsevier, vol. 75(1), pages 198-216.

    More about this item

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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