Existence of nash equilibria and saddle points in infinite-dimensional spaces

DOI10.1080/02331939808844394zbMath0904.49002OpenAlexW2087567933MaRDI QIDQ4397402

M. Beatrice Lignola

Publication date: 30 September 1998

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331939808844394

zbMATH Keywords

Nash equilibriasaddle pointsKy Fan inequalitiesKnaster-Kuratowski-Mazurkiewicz theoremgamma-limits

Mathematics Subject Classification ID

Variational inequalities (49J40) Programming in abstract spaces (90C48) Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for problems in abstract spaces (49J27)

Cites Work

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• Sufficient conditions for Nash equilibria, in N-person games over reflexive Banach spaces
• On Nash equilibria in \(N\)-person games over reflexive Banach spaces
• New minimax inequality with applications to existence theorems of equilibrium points
• Ky Fan inequalities and Nash equilibrium points without semicontinuity and compactness
• Γ-Inequalities and Stability of Generalized Extremal Convolutions
• semi-continuities of marginal functions in a sequential setting

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