Nash equilibrium and saddle points for multifunctions

zbMath1252.49023MaRDI QIDQ662351

Panos M. Pardalos, Daishi Kuroiwa, Tamaki Tanaka, Pando Grigorov Georgiev

Publication date: 22 February 2012

Published in: Communications in Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.cma/1329151188

zbMATH Keywords

set-valued mappingsNash equilibriumsaddle points

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Set-valued operators (47H04) Existence of solutions for minimax problems (49J35)

Cites Work

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• Two types of minimax theorems for vector-valued functions
• Some minimax problems of vector-valued functions
• Existence theorems for cone saddle points of vector-valued functions in infinite-dimensional spaces
• Generalized quasiconvexities, cone saddle points, and minimax theorem for vector-valued functions
• Generalized semicontinuity and existence theorems for cone saddle points
• Loose saddle points of set-valued maps in topological vector spaces
• εVariational inequalities for vector approximation problems
• A saddlepoint theorem for set-valued maps
• A generalization of ekellandz’s variational principle

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