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

Listed author(s):
  • 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.

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File URL: http://dx.doi.org/10.1287/moor.16.4.694
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Article provided by INFORMS in its journal Mathematics of Operations Research.

Volume (Year): 16 (1991)
Issue (Month): 4 (November)
Pages: 694-753

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Handle: RePEc:inm:ormoor:v:16:y:1991:i:4:p:694-753
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