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Justification of Stable Equilibria

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Author Info
Govindan, Srihari (U of Iowa)
Wilson, Robert B. (Stanford U)

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Abstract

Two assumptions are used to justify selection of equilibria in stable sets. One assumption requires that a selected set is invariant to addition of redundant strategies. The other is a strong version of backward induction. Backward induction is interpreted as the requirement that behavior strategies in an extensive-form game are sequentially rational and conditionally admissible at every information set; viz., quasi-perfect as defined by van Damme. The strong version requires 'truly' quasi-perfect, in that every action perturbation selects a quasi-perfect equilibrium in the set. For two-player games we also provide an exact characterization of stable sets.

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Paper provided by Stanford University, Graduate School of Business in its series Research Papers with number 1896.

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Date of creation: Jun 2005
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Handle: RePEc:ecl:stabus:1896

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  1. Banks, Jeffrey S. & Sobel, Joel., 1985. "Equilibrium Selection in Signaling Games," Working Papers 565, California Institute of Technology, Division of the Humanities and Social Sciences. [Downloadable!]
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  2. Govindan, Srihari & Wilson, Robert, 2001. "Direct Proofs of Generic Finiteness of Nash Equilibrium Outcomes," Econometrica, Econometric Society, vol. 69(3), pages 765-69, May.
  3. Blume, Lawrence & Brandenburger, Adam & Dekel, Eddie, 1991. "Lexicographic Probabilities and Choice under Uncertainty," Econometrica, Econometric Society, vol. 59(1), pages 61-79, January. [Downloadable!] (restricted)
  4. Kreps, David M & Wilson, Robert, 1982. "Sequential Equilibria," Econometrica, Econometric Society, vol. 50(4), pages 863-94, July. [Downloadable!] (restricted)
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