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The simple geometry of perfect information games

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Author Info
Stefano Demichelis ()
Klaus Ritzberger ()
Jeroen M. Swinkels ()

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Abstract

Perfect information games have a particularly simple structure of equilibria in the associated normal form. For generic such games each of the finitely many connected components of Nash equilibria is contractible. For every perfect information game there is a unique connected and contractible component of subgame perfect equilibria. Finally, the graph of the subgame perfect equilibrium correspondence, after a very mild deformation, looks like the space of perfect information extensive form games. Copyright Springer-Verlag 2004

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File URL: http://hdl.handle.net/10.1007/s001820400169
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Publisher Info
Article provided by Springer in its journal International Journal of Games Theory.

Volume (Year): 32 (2004)
Issue (Month): 3 (06)
Pages: 315-338
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Handle: RePEc:spr:jogath:v:32:y:2004:i:3:p:315-338

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Related research
Keywords: Extensive form games; Perfect information; Subgame perfection;

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. van Damme, Eric, 1989. "Stable equilibria and forward induction," Journal of Economic Theory, Elsevier, vol. 48(2), pages 476-496, August. [Downloadable!] (restricted)
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  2. David M Kreps & Robert Wilson, 2003. "Sequential Equilibrium," Levine's Working Paper Archive 618897000000000813, David K. Levine. [Downloadable!]
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  3. Demichelis, Stefano & Ritzberger, Klaus, 2003. "From evolutionary to strategic stability," Journal of Economic Theory, Elsevier, vol. 113(1), pages 51-75, November. [Downloadable!] (restricted)
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  4. Ritzberger, Klaus & Weibull, Jorgen W, 1995. "Evolutionary Selection in Normal-Form Games," Econometrica, Econometric Society, vol. 63(6), pages 1371-99, November. [Downloadable!] (restricted)
  5. Swinkels Jeroen M., 1993. "Adjustment Dynamics and Rational Play in Games," Games and Economic Behavior, Elsevier, vol. 5(3), pages 455-484, July. [Downloadable!] (restricted)
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  6. R. Cressman, K.H. Schlag, 1995. "The Dynamic (In)Stability of Backwards Induction," Discussion Paper Serie B 347, University of Bonn, Germany. [Downloadable!]
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  7. Rosenthal, Robert W., 1981. "Games of perfect information, predatory pricing and the chain-store paradox," Journal of Economic Theory, Elsevier, vol. 25(1), pages 92-100, August. [Downloadable!] (restricted)
  8. Hart, Sergiu, 2002. "Evolutionary dynamics and backward induction," Games and Economic Behavior, Elsevier, vol. 41(2), pages 227-264, November. [Downloadable!] (restricted)
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  9. Mertens, J.-F., 1988. "Stable equilibria - a reformulation," CORE Discussion Papers 1988038, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  10. Noeldecke,Georg & Samuelson,Larry, . "An evolutionary analysis of backward and forward induction," Discussion Paper Serie B 228, University of Bonn, Germany.
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  11. Swinkels, Jeroen M., 1992. "Evolution and strategic stability: From maynard smith to kohlberg and mertens," Journal of Economic Theory, Elsevier, vol. 57(2), pages 333-342, August. [Downloadable!] (restricted)
  12. Hauk, Esther & Hurkens, Sjaak, 2002. "On Forward Induction and Evolutionary and Strategic Stability," Journal of Economic Theory, Elsevier, vol. 106(1), pages 66-90, September. [Downloadable!] (restricted)
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  13. Ritzberger, Klaus, 1994. "The Theory of Normal Form Games form the Differentiable Viewpoint," International Journal of Game Theory, Springer, vol. 23(3), pages 207-36.
  14. Kohlberg, Elon & Mertens, Jean-Francois, 1986. "On the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 54(5), pages 1003-37, September. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Raymond Wladimir & Mohnen, Pierre & Palm, Franz & Schim, van der Loeff, Sybrand, 2006. "Persistence of Innovation in Dutch Manufacturing: Is it Spurious?," Research Memoranda 009, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
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