Stability of solutions for Ky Fan's section theorem with some applications

DOI10.1016/j.na.2005.01.113zbMath1080.49005OpenAlexW1971601978MaRDI QIDQ2488254

Yong-Hui Zhou, Hui Yang, Shu-wen Xiang

Publication date: 25 August 2005

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.01.113

zbMATH Keywords

Nash equilibriumnoncooperative gameminimax inequalityessential componentKy Fan section theoremessential setcollective-better-reply

Mathematics Subject Classification ID

Noncooperative games (91A10) Games involving topology, set theory, or logic (91A44) Existence of solutions for minimax problems (49J35) General equilibrium theory (91B50)

Related Items

Essential stability in games with endogenous sharing rules ⋮ Strongly essential set of vector Ky Fan's points problem and its applications ⋮ Essential stability in games with infinitely many pure strategies ⋮ The existence and stability for weakly Ky Fan's points of set-valued mappings ⋮ Some further results on the stability of Ky Fan's points ⋮ Strongly essential set of Ky Fan's points and the stability of Nash equilibrium ⋮ Stability of solutions for variational relation problems with applications ⋮ Characterization of essential stability in lower pseudocontinuous optimization problems ⋮ Essential stability of solutions for maximal element theorem with applications ⋮ Existence and stability of solutions for maximal element theorem on Hadamard manifolds with applications ⋮ A Hausdorff metric inequality with applications to the existence of essential components ⋮ Generic stability and essential components of generalized KKM points and applications ⋮ Existence and stability of weakly Pareto-Nash equilibrium for generalized multiobjective multi-leader-follower games

Cites Work

• A generalization of Tychonoff's fixed point theorem
• Introduction to the theory of games. Concepts, methods, applications
• The stability of the set of KKM points
• Essential components of the set of weakly Pareto-Nash equilibrium points
• Existence theorems of Nash equilibria for non-cooperative \(n\)-person games
• On the Definition of the Strategic Stability of Equilibria
• On essential components of the set of Nash equilibrium points
• Characterizations of the Existence of Equilibria in Games with Discontinuous and Non-quasiconcave Payoffs
• On the Strategic Stability of Equilibria
• The Stability of Ky Fan's Points
• Essential and Non Essential Fixed Points
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item