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Zbl 0886.90183
Lignola, M.B.
Ky Fan inequalities and Nash equilibrium points without semicontinuity and compactness. (English)
[J] J. Optimization Theory Appl. 94, No.1, 137-145 (1997). ISSN 0022-3239; ISSN 1573-2878/e

Summary: A Ky Fan inequality without compactness and semicontinuity assumptions is proved. The inequality is next applied in order to obtain existence results for Nash equilibrium points for two-person games in topological vector spaces and in reflexive Banach spaces.
MSC 2000:
*91A05 2-person games
90C48 Programming in abstract spaces

Keywords: Ky Fan inequalities; Nash equilibrium points; existence theorems

Cited in: Zbl 1205.91017 Zbl 1032.91014

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