New minimax inequality with applications to existence theorems of equilibrium points

DOI10.1007/BF02191782zbMath0819.46004MaRDI QIDQ1335124

Kok-Keong Tan, Jian Yu

Publication date: 27 September 1994

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

minimax inequality\(N\)-person gamesexistence theorems of equilibrium points for different gamesincreasing sequence of compact convex sets in a topological vector spacequalitative games

Mathematics Subject Classification ID

Noncooperative games (91A10) (n)-person games, (n>2) (91A06) Convex sets in topological linear spaces; Choquet theory (46A55)

Related Items (13)

Note on \(\varepsilon\)-saddle point and saddle point theorems ⋮ Existence theorems of Nash equilibria for non-cooperative \(n\)-person games ⋮ Pareto equilibria of multicriteria games without compactness, continuity and concavity ⋮ Ky Fan inequalities and Nash equilibrium points without semicontinuity and compactness ⋮ Some new minimax inequalities and applications to existence of equilibria in H-spaces ⋮ Existence of nash equilibria and saddle points in infinite-dimensional spaces ⋮ A counterexample to 0-diagonal quasiconcavity in a minimax inequality ⋮ Existence of equilibria for discontinuous games in general topological spaces with binary relations ⋮ A new equilibrium existence theorem for abstract fuzzy economies ⋮ Reference variable methods of solving min-Max optimization problems ⋮ Some new equilibrium theorems for abstracts economies ⋮ Existence of equilibrium for generalized abstract fuzzy economies ⋮ Equilibria and maximal elements of abstract fuzzy economies and qualitative fuzzy games

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence of maximal elements and equilibria in linear topological spaces
• Diagonal convexity conditions for problems in convex analysis and quasi-variational inequalities
• Equilibria of non-compact generalized games with \( L^*\)-majorized preference correspondences
• Existence of equilibrium actions and of equilibrium. A note on the 'new' existence theorems
• On Nash equilibria in \(N\)-person games over reflexive Banach spaces
• A new minimax inequality on H-spaces with applications
• A minimax inequality with applications to existence of equilibrium point and fixed point theorems

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