An improved hyperplane projection method for generalized Nash equilibrium problems with extrapolation technique

Optimization ◽  
2021 ◽  
pp. 1-21
Author(s):  
Xiaoxi Jia ◽  
Zhiren Sun ◽  
Lingling Xu
Keyword(s):  
Nash Equilibrium ◽  
Projection Method ◽  
Equilibrium Problems ◽  
Generalized Nash Equilibrium ◽  
Extrapolation Technique ◽  
Generalized Nash Equilibrium Problems

scholarly journals A note on supervised classification and Nash-equilibrium problems

2017 ◽  
Vol 51 (2) ◽  
pp. 329-341
Author(s):  
Nicolas Couellan
Keyword(s):  
Nash Equilibrium ◽  
Support Vector Machines ◽  
Supervised Classification ◽  
Dual Space ◽  
Equilibrium Problems ◽  
Support Vector ◽  
Generalized Nash Equilibrium ◽  
Class Separation ◽  
Vector Machines ◽  
Generalized Nash Equilibrium Problems

In this note, we investigate connections between supervised classification and (Generalized) Nash equilibrium problems (NEP & GNEP). For the specific case of support vector machines (SVM), we exploit the geometric properties of class separation in the dual space to formulate a non-cooperative game. NEP and Generalized NEP formulations are proposed for both binary and multi-class SVM problems.

Generalized Nash equilibrium problems and Newton methods

2007 ◽  
Vol 117 (1-2) ◽  
pp. 163-194 ◽  
Author(s):  
Francisco Facchinei ◽  
Andreas Fischer ◽  
Veronica Piccialli
Keyword(s):  
Nash Equilibrium ◽  
Equilibrium Problems ◽  
Generalized Nash Equilibrium ◽  
Newton Methods ◽  
Generalized Nash Equilibrium Problems

On the solution of the KKT conditions of generalized Nash equilibrium problems

2011 ◽  
Vol 21 (3) ◽  
pp. 1082-1108 ◽  
Author(s):  
Axel Dreves ◽  
Francisco Facchinei ◽  
Christian Kanzow ◽  
Simone Sagratella
Keyword(s):  
Nash Equilibrium ◽  
Equilibrium Problems ◽  
Kkt Conditions ◽  
Generalized Nash Equilibrium ◽  
Generalized Nash Equilibrium Problems
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