On Strictly Perfect Sets
It is shown that for a bimatrix game the set of extreme equilibria is a strictly perfect set and that every minimal strictly perfect set is finite. Moreover, it is proved that there are finitely many equivalence classes of minimal strictly perfect sets, each of which can be associated with a collect...
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| Veröffentlicht in: | Games and economic behavior 1994-05, Vol.6 (3), p.400-415 |
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| container_title | Games and economic behavior |
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| creator | Jansen, M.J.M. Jurg, A.P. Borm, P.E.M. |
| description | It is shown that for a bimatrix game the set of extreme equilibria is a strictly perfect set and that every minimal strictly perfect set is finite. Moreover, it is proved that there are finitely many equivalence classes of minimal strictly perfect sets, each of which can be associated with a collection of faces of maximal Nash subsets for the game. Further, it is shown that the set of strictly perfect equilibria, if non-empty, is the finite union of faces of maximal Nash subsets.
Journal of Economic Literature Classification Number: C72 |
| doi_str_mv | 10.1006/game.1994.1023 |
| format | Article |
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Moreover, it is proved that there are finitely many equivalence classes of minimal strictly perfect sets, each of which can be associated with a collection of faces of maximal Nash subsets for the game. Further, it is shown that the set of strictly perfect equilibria, if non-empty, is the finite union of faces of maximal Nash subsets.
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| identifier | ISSN: 0899-8256 |
| ispartof | Games and economic behavior, 1994-05, Vol.6 (3), p.400-415 |
| issn | 0899-8256 1090-2473 |
| language | eng |
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| source | RePEc; Periodicals Index Online; ScienceDirect Journals (5 years ago - present) |
| title | On Strictly Perfect Sets |
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