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Stable equilibria - a reformulation. Part II. Discussion of the definition, and further results

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  • MERTENS, Jean-François

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.
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Suggested Citation

  • MERTENS, Jean-François, 1991. "Stable equilibria - a reformulation. Part II. Discussion of the definition, and further results," CORE Discussion Papers RP 960, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  • Handle: RePEc:cor:louvrp:960
    Note: In : Mathematics of Operations Research, 16(4), 694-753, 1991
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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
    3. 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.
    4. Ohnishi, Kazuhiro, 2018. "Non-Altruistic Equilibria," MPRA Paper 88347, University Library of Munich, Germany.

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