Ordinality of solutions of noncooperative games

In this paper we reformulate Mertens' definition of ordinality for solutions defined on the class of strategic form games. Using this reformulation, the relations between (strong) invariance, abr-invariance and ordinality can easily be described. This results in a short proof of a theorem of Me...

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Bibliographic Details
Published in:Journal of mathematical economics 2000-02, Vol.33 (1), p.13-34
Main Authors: Vermeulen, A.J., Jansen, M.J.M.
Format: Article
Language:English
Subjects:
Economic theory
Game theory
Games
Invariance
Mathematical analysis
Noncooperative games
Ordinality
Solutions
Studies
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Summary:In this paper we reformulate Mertens' definition of ordinality for solutions defined on the class of strategic form games. Using this reformulation, the relations between (strong) invariance, abr-invariance and ordinality can easily be described. This results in a short proof of a theorem of Mertens.
ISSN:0304-4068
1873-1538
DOI:10.1016/S0304-4068(99)00011-7