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


  • Jean-François Mertens

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


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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    Cited by:

    1. Rui SILVA, 2018. "Equilibrium Selection in n-Person Static Games with Complete Information," Departmental Working Papers 2018-04, Department of Economics, Management and Quantitative Methods at Università degli Studi di Milano.
    2. repec:eee:jetheo:v:169:y:2017:i:c:p:128-144 is not listed on IDEAS
    3. Meroni, Claudia & Pimienta, Carlos, 2017. "The structure of Nash equilibria in Poisson games," Journal of Economic Theory, Elsevier, vol. 169(C), pages 128-144.
    4. 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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    games; n-players; equilibria; stable sets; perturbations;


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