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A Refinement of Perfect Equilibria Based On Substitute Sequences

Author

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  • C. D. Aliprantis
  • I. Topolyan

Abstract

We propose an equilibrium refinement of strict perfect equilibrium for the finite normal form games, which is not known in the literature. Okada came up with the idea of strict perfect equilibrium by strengthening the main definition of a perfect equilibrium, due to Selten [14]. We consider the alternative (and equivalent) definition of perfect equilibrium, based on the substitute sequences, as appeared in Selten [14]. We show that by strengthening and modifiyng this definition slightly, one can obtain a refinement stronger than strict perfectness. We call the new refinement strict substitute perfect equilibrium. The main advantage of this solution concept is that it reflects the local dominance of an equilibrium point. An example is provided to show that a strict perfect equilibrium may fail to be strict substitute perfect.

Suggested Citation

  • C. D. Aliprantis & I. Topolyan, 2009. "A Refinement of Perfect Equilibria Based On Substitute Sequences," Purdue University Economics Working Papers 1225, Purdue University, Department of Economics.
    • Handle: RePEc:pur:prukra:1225
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    File URL: https://business.purdue.edu/research/Working-papers-series/2009/1225.pdf
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    More about this item

    Keywords

    Perfect equilibrium; strictly perfect equilibrium; substitute sequence; substitute perfect equilibrium; unit simplex;
    All these keywords.

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory

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