An ordinal selection of stable sets in the sense of Hillas

A.J. Vermeulen; M.J.M. Jansen

doi:10.1016/S0304-4068(01)00073-8

An ordinal selection of stable sets in the sense of Hillas

A.J. Vermeulen^*
, M.J.M. Jansen

^*Corresponding author for this work

Quantitative Economics

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Abstract

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.

Original language	English
Pages (from-to)	161-167
Journal	Journal of Mathematical Economics
Volume	36
Issue number	36
DOIs	https://doi.org/10.1016/S0304-4068(01)00073-8
Publication status	Published - 1 Jan 2001

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An ordinal selection of stable sets in the sense of Hillas

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