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On the Definition of the Strategic Stability of Equilibria

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Author Info
Hillas, John
Abstract

A new definition of strategic stability is shown to satisfy all of the requirements given by Elon Kohlberg and Jean-Francois Mertens (1986). The definition follows the general form of the original definition of Kohlberg and Mertens, but, rather than working with perturbations of the payoffs or strategy space, works directly with perturbations to the best reply correspondence. With the appropriate topology on this space of perturbations, the resulting definition does satisfy all of the requirements given by Kohlberg and Mertens. It is shown that one does not have much freedom in the topology one uses. Copyright 1990 by The Econometric Society.

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Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 58 (1990)
Issue (Month): 6 (November)
Pages: 1365-90
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Handle: RePEc:ecm:emetrp:v:58:y:1990:i:6:p:1365-90

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  2. Vincent Anesi, 2009. "Noncooperative Foundations of Stable Sets in Voting Games," RCER Working Papers 551, University of Rochester - Center for Economic Research (RCER). [Downloadable!]
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  3. Vermeulen,Dries & Jansen,Mathijs, 2004. "On the computation of stable sets for bimatrix games," Research Memoranda 020, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
  4. Jeroen M. Swinkels, 1991. "Adjustment Dynamics and Rational Play in Games," Discussion Papers 1001, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
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  5. Mario Gilli, 2002. "Iterated Admissibility as Solution Concept in Game Theory," Working Papers 47, University of Milano-Bicocca, Department of Economics, revised Mar 2002. [Downloadable!]
  6. Govindan, Srihari & Wilson, Robert B., 2007. "Stable Outcomes of Generic Games in Extensive Form," Research Papers 1933r, Stanford University, Graduate School of Business. [Downloadable!]
  7. Kuipers, Jeroen & Vermeulen, Dries & Voorneveld, Mark, 2009. "A generalization of the Shapley-Ichiishi result," Working Paper Series in Economics and Finance 711, Stockholm School of Economics. [Downloadable!]
  8. repec:att:wimass:1919982 is not listed on IDEAS
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