An ordinal selection of stable sets in the sense of Hillas

An ordinal selection of stable sets in the sense of Hillas

In this paper, it is shown in an example that the original definition of stable sets in Hillas [Econometrica 58 (1990) 1365–1391] does not satisfy (an even slightly weakenened version of) the invariance condition proposed in Mertens [Ordinality in noncooperative games, Core Discussion Paper 8728, CO...

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Veröffentlicht in:Journal of mathematical economics 2001-11, Vol.36 (2), p.161-167
Hauptverfasser: Vermeulen, A.J., Jansen, M.J.M.
Format: Artikel
Sprache:eng
Schlagworte:
Economic theory
Economics
Game theory
Games
Invariance
Mathematical models
Stable sets
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Zusammenfassung:In this paper, it is shown in an example that the original definition of stable sets in Hillas [Econometrica 58 (1990) 1365–1391] does not satisfy (an even slightly weakenened version of) the invariance condition proposed in Mertens [Ordinality in noncooperative games, Core Discussion Paper 8728, CORE Louvain de la Neuve, Belgium, 1987]. However, it is also shown that the basic stability condition of Hillas underlying his definition of stable sets does admit a selection that is invariant in the strong sense, and even ordinal.
ISSN:0304-4068
1873-1538
DOI:10.1016/S0304-4068(01)00073-8