Nash’s Equilibrium Theorem

2016 ◽  
pp. 187-211
Keyword(s):  
Equilibrium Theorem

scholarly journals Fixed point theorems in minimal generalized convex spaces

Filomat ◽  
2011 ◽  
Vol 25 (4) ◽  
pp. 165-176 ◽  
Author(s):  
Rahmat Darzi ◽  
Rostamian Delavar ◽  
Mehdi Roohi
Keyword(s):  
Fixed Point ◽  
Nash Equilibrium ◽  
Fixed Point Theorem ◽  
Fixed Point Theorems ◽  
Coincidence Point ◽  
Kkm Principle ◽  
Generalized Convex Space ◽  
Ky Fan ◽  
Equilibrium Theorem ◽  
Convex Spaces

This paper deals with coincidence and fixed point theorems in minimal generalized convex spaces. By establishing a kind of KKM Principle in minimal generalized convex space, we obtain some results on coincidence point and fixed point theorems. Generalized versions of Ky Fan?s lemma, Fan-Browder fixed point theorem, Nash equilibrium theorem and some Urai?s type fixed point theorems in minimal generalized convex spaces are given.

scholarly journals The Fan minimax inequality implies the Nash equilibrium theorem

2011 ◽  
Vol 24 (12) ◽  
pp. 2206-2210 ◽  
Author(s):  
Sehie Park
Keyword(s):  
Nash Equilibrium ◽  
Minimax Inequality ◽  
Equilibrium Theorem

Debreu’s social equilibrium theorem with asymmetric information and a continuum of agents

2007 ◽  
Vol 38 (2) ◽  
pp. 419-432 ◽  
Author(s):  
Nicholas C. Yannelis
Keyword(s):  
Asymmetric Information ◽  
Equilibrium Theorem

Analysis on Cournot Oligopoly Game Models With Two Firms and More Than Two Firms

2008 ◽  
Author(s):  
Junyan Wang
Keyword(s):  
Nash Equilibrium ◽  
Equilibrium Point ◽  
Cooperative Game ◽  
Pure Strategy ◽  
Cournot Oligopoly ◽  
Cournot Equilibrium ◽  
Cournot Game ◽  
Existence Conditions ◽  
Equilibrium Theorem

This paper reviews the standard game models and its Nash equilibrium and then analyses Cournot oligopoly game from two firms to the case with more than two firms. Due to Cournot equilibrium point, the concept of Cournot equilibrium point is the same as the concept as the non-cooperative game with pure strategy but the strategy can be chosen in Cournot game is infinity and it can not be obtained base on Nash equilibrium theorem. Finally, the existence conditions of Cournot equilibrium point are given and the theorem and its proof of the existence Cournot equilibrium point are given too.

scholarly journals Ekeland-type variational principle with applications to nonconvex minimization and equilibrium problems

2019 ◽  
Vol 24 (3) ◽  
pp. 407-432
Author(s):  
Iram Iqbal ◽  
Nawab Hussain
Keyword(s):  
Fixed Point ◽  
Variational Principle ◽  
Metric Spaces ◽  
Equilibrium Problems ◽  
Lower Semicontinuous ◽  
Minimax Theorem ◽  
Nonconvex Minimization ◽  
Equilibrium Theorem

The aim of the present paper is to establish a variational principle in metric spaces without assumption of completeness when the involved function is not lower semicontinuous. As consequences, we derive many fixed point results, nonconvex minimization theorem, a nonconvex minimax theorem, a nonconvex equilibrium theorem in noncomplete metric spaces. Examples are also given to illustrate and to show that obtained results are proper generalizations.

scholarly journals Equivalence results between Nash equilibrium theorem and some fixed point theorems

2016 ◽  
Vol 2016 (1) ◽  
Author(s):  
Jian Yu ◽  
Neng-Fa Wang ◽  
Zhe Yang
Keyword(s):  
Fixed Point ◽  
Nash Equilibrium ◽  
Fixed Point Theorems ◽  
Equilibrium Theorem

scholarly journals Generalizations of the Nash Equilibrium Theorem in the KKM Theory

2010 ◽  
Vol 2010 (1) ◽  
pp. 234706 ◽  
Author(s):  
Sehie Park
Keyword(s):  
Nash Equilibrium ◽  
Equilibrium Theorem

On the Mas-Colell–Richard Equilibrium Theorem

1997 ◽  
Vol 74 (2) ◽  
pp. 414-424 ◽  
Author(s):  
Charalambos D. Aliprantis
Keyword(s):  
Equilibrium Theorem

scholarly journals On a market equilibrium theorem with an infinite number of commodities

1985 ◽  
Vol 108 (2) ◽  
pp. 595-599 ◽  
Author(s):  
Nicholas C Yannelis
Keyword(s):  
Infinite Number ◽  
Market Equilibrium ◽  
Equilibrium Theorem
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