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Existence of equilibrium pairs in continuous games

Owen, G. (1976), Existence of equilibrium pairs in continuous games, International Journal of Game Theory, 5, 2-3, p. 97-105. http://dx.doi.org/10.1007/BF01753312

Type
Article accepté pour publication ou publié
Date
1976
Journal name
International Journal of Game Theory
Volume
5
Number
2-3
Publisher
Springer
Pages
97-105
Publication identifier
Metadata
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Author(s)
Owen, G.
Abstract (EN)
It is shown that all continuous two-person general-sum games over the square have equilibrium pairs of mixed strategy. A slight extension of Helly's Second Theorem, which may be of some slight interest in its own right, is used. The result is then generalized to all continuousn-person games on the cube.
Subjects / Keywords
continuous games; equilibrium pairs