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Stable Equilibria—A Reformulation. Part II. Discussion of the Definition, and Further Results

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  • Jean-François Mertens

    (Center for Operations Research and Econometrics, Universite Catholique de Louvain, 34 Voie Du Roman Pays, 1348 Louvain-La-Neuve, Belgium)

Abstract

This is the sequel of Mertens (1989). We discuss the geometric content of the definition, showing in particular the algebraic distinctions to matter. We provide an equivalent definition that gets rid of the need to use Hausdorff limits, and finally we show that a “decomposition axiom” eliminates most of the algebraic possibilities, leaving only the “ p -stable” sets, for p zero or prime.

Suggested Citation

  • Jean-François Mertens, 1991. "Stable Equilibria—A Reformulation. Part II. Discussion of the Definition, and Further Results," Mathematics of Operations Research, INFORMS, vol. 16(4), pages 694-753, November.
  • Handle: RePEc:inm:ormoor:v:16:y:1991:i:4:p:694-753
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    File URL: http://dx.doi.org/10.1287/moor.16.4.694
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    Cited by:

    1. Meroni, Claudia & Pimienta, Carlos, 2017. "The structure of Nash equilibria in Poisson games," Journal of Economic Theory, Elsevier, vol. 169(C), pages 128-144.
    2. repec:spr:topjnl:v:25:y:2017:i:2:d:10.1007_s11750-017-0447-2 is not listed on IDEAS

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    Keywords

    games; n-players; equilibria; stable sets; perturbations;

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