Existence and generic stability conditions of equilibrium points to controlled systems for n-player multiobjective generalized games using the Kakutani–Fan–Glicksberg fixed-point theorem

2021 ◽  
Author(s):  
Nguyen Van Hung ◽  
André A. Keller
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Equilibrium Points ◽  
Stability Conditions ◽  
Generic Stability ◽  
Controlled Systems ◽  
Generalized Games ◽  
Multiobjective Generalized Games

scholarly journals Duplex selections, equilibrium points, and viability tubes

2018 ◽  
Vol 27 (2) ◽  
pp. 19-33
Author(s):  
Zoltán Kánnai
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Differential Inclusions ◽  
Equilibrium Points ◽  
Time Dependent ◽  
Equilibrium Form ◽  
Selection Theorem ◽  
Convex Case

Abstract Existence of viable trajectories to nonautonomous differential inclusions are proven for time-dependent viability tubes. In the convex case we prove a double-selection theorem and a new Scorza-Dragoni type lemma. Our result also provides a new and palpable proof for the equilibrium form of Kakutani’s fixed point theorem.

A fuzzy fixed-point theorem and its applications to maximal elements and Nash equilibria in noncompact CAT(0) spaces

2022 ◽  
pp. 1-18
Author(s):  
Haishu Lu ◽  
Rong Li
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Maximal Element ◽  
Existence Theorems ◽  
Equilibrium Points ◽  
Maximal Elements ◽  
Nash Equilibrium Points ◽  
Fuzzy Fixed Point ◽  
Qualitative Games

In this paper, based on the KKM method, we prove a new fuzzy fixed-point theorem in noncompact CAT(0) spaces. As applications of this fixed-point theorem, we obtain some existence theorems of fuzzy maximal element points. Finally, we utilize these fuzzy maximal element theorems to establish some new existence theorems of Nash equilibrium points for generalized fuzzy noncooperative games and fuzzy noncooperative qualitative games in noncompact CAT(0) spaces. The results obtained in this paper generalize and extend many known results in the existing literature.

A fixed point theorem and existence of equilibrium for abstract economies

1992 ◽  
Vol 45 (3) ◽  
pp. 385-394 ◽  
Author(s):  
Dong Il Rim ◽  
Won Kyu Kim
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Equilibrium Points ◽  
Utility Functions ◽  
Existence Of Equilibrium ◽  
Abstract Economies

In this paper, we shall prove a generalisation of Himmelberg's fixed point theorem and as applications, the existence of equilibrium points for abstract economies given by preference correspondences and utility functions have been established.

Equilibrium Points for Open Acyclic Relations

1967 ◽  
Vol 19 ◽  
pp. 366-369 ◽  
Author(s):  
Bezalel Peleg
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Cooperative Games ◽  
Equilibrium Points ◽  
Real Functions ◽  
Disjoint Sets ◽  
Image Position ◽  
Non Cooperative Games

A formulation of a fixed point theorem, which can be applied conveniently to non-cooperative games and cooperative games, is suggested in this note.Let N1, … , Nm be m non-empty, finite disjoint sets. For k = 1, … , m we denote by Sk the simplex the coordinates of whose points are indexed by the members of Nk; thus Sk is the collection of all real functions xk defined on Nk which satisfy:1.11.2

scholarly journals Modular best proximity and equilibrium pairs in free generalized games

Filomat ◽  
2017 ◽  
Vol 31 (18) ◽  
pp. 5719-5726
Author(s):  
Nasrin Karamikabir ◽  
Farajollah Yaghoobi
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Existence Theorems ◽  
Modular Function ◽  
Function Spaces ◽  
Generalized Games ◽  
Modular Function Spaces ◽  
Person Game

In this paper, we prove a fixed point theorem for ?-acyclic factorizable multifunction. Some existence theorems of general best proximity pairs and equilibrium pairs are presented in modular function spaces. Moreover, some equilibrium theorems are established for free generalized n-person game.

scholarly journals New existence of equilibria via connectedness

1998 ◽  
Vol 21 (2) ◽  
pp. 315-319
Author(s):  
Sung Mo Im ◽  
Dong Il Rim ◽  
Won Kyu Kim
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Connectedness Property ◽  
Generalized Games ◽  
Existence Of Equilibria

The purpose of this paper is to prove a new topological fixed point theorem by using the connectedness property, and next existence of equilibria in generalized games are established as applications.

Solution of Volterra integral inclusion in b-metric spaces via new fixed point theorem

2016 ◽  
Vol 2017 (1) ◽  
pp. 17-30 ◽  
Author(s):  
Muhammad Usman Ali ◽  
◽  
Tayyab Kamran ◽  
Mihai Postolache ◽  
◽  
...  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Integral Inclusion
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