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 |
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| container_title | Journal of mathematical economics |
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| creator | Vermeulen, A.J. Jansen, M.J.M. |
| description | 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. |
| doi_str_mv | 10.1016/S0304-4068(01)00073-8 |
| format | Article |
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| ispartof | Journal of mathematical economics, 2001-11, Vol.36 (2), p.161-167 |
| issn | 0304-4068 1873-1538 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_38311049 |
| source | RePEc; Elsevier ScienceDirect Journals |
| subjects | Economic theory Economics Game theory Games Invariance Mathematical models Stable sets |
| title | An ordinal selection of stable sets in the sense of Hillas |
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