Existence of solution of minimax inequalities, equilibria in games and fixed points without convexity and compactness assumptions
This paper characterizes the existence of equilibria in minimax inequalities without
assuming any form of quasiconcavity of functions and convexity or compactness of choice …
assuming any form of quasiconcavity of functions and convexity or compactness of choice …
Approximate fixed point theorems in Banach spaces with applications in game theory
R Brânzei, J Morgan, V Scalzo, S Tijs - Journal of mathematical analysis …, 2003 - Elsevier
In this paper some new approximate fixed point theorems for multifunctions in Banach
spaces are presented and a method is developed indicating how to use approximate fixed …
spaces are presented and a method is developed indicating how to use approximate fixed …
Stackelberg problems: Subgame perfect equilibria via Tikhonov regularization
In this chapter we consider a two-stage game with one leader and one (or more) followers
and we investigate the behavior of a Tikhonov regularization when the best reply for the …
and we investigate the behavior of a Tikhonov regularization when the best reply for the …
Full characterizations of minimax inequality, fixed point theorem, saddle point theorem, and KKM principle in arbitrary topological spaces
G Tian - Journal of Fixed Point Theory and Applications, 2017 - Springer
This paper provides necessary and sufficient conditions for the existence of solutions for
some important problems from optimization and non-linear analysis by replacing two typical …
some important problems from optimization and non-linear analysis by replacing two typical …
[PDF][PDF] Existence for optimization problems with equilibrium constraints in reflexive Banach spaces
MB Lignola, J Morgan - Optimization in economics, finance and …, 2002 - researchgate.net
Solving an optimization problem with equilibrium conditions as constraints arises quite
frequently in the modelling of socio-economic and engineering systems as shown by the …
frequently in the modelling of socio-economic and engineering systems as shown by the …
[PDF][PDF] New convergence results for Nash equilibria.
J Morgan, R Raucci - Journal of Convex Analysis, 1999 - emis.de
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Nash's Existence Theorem for Non-Compact Strategy Sets
X Zhang, C Yang, R Han, S Zhang - Mathematics, 2024 - mdpi.com
In this paper, we apply the classical FKKM lemma to obtain the Ky Fan minimax inequality
defined on nonempty non-compact convex subsets in reflexive Banach spaces, and then we …
defined on nonempty non-compact convex subsets in reflexive Banach spaces, and then we …
[PDF][PDF] IÉSEG WORKING PAPER
R Nessah, K Kerstens - 2008 - researchgate.net
A sufficient and necessary condition is presented for the existence of a Nash equilibrium in n-
person noncooperative games in normal form where strategy sets are not necessarily …
person noncooperative games in normal form where strategy sets are not necessarily …
A counterexample to 0-diagonal quasiconcavity in a minimax inequality
A Ziad - Journal of optimization theory and applications, 2001 - Springer
A Counterexample to 0-Diagonal Quasiconcavity in a Minimax Inequality Page 1 JOURNAL OF
OPTIMIZATION THEORY AND APPLICATIONS: Vol. 109, No. 2, pp. 457–462, MAY 2001 …
OPTIMIZATION THEORY AND APPLICATIONS: Vol. 109, No. 2, pp. 457–462, MAY 2001 …
Generalized strongly vector equilibrium problem for set-valued mappings
R Ahmad, M Rahaman - Filomat, 2014 - JSTOR
In this paper, we introduce and study a generalized strongly vector equilibrium problem for
set-valued mappings in real Banach spaces. Using Minty type lemma and KKM-Fan theorem …
set-valued mappings in real Banach spaces. Using Minty type lemma and KKM-Fan theorem …