scholarly journals An Exact Penalty Approach and Conjugate Duality for Generalized Nash Equilibrium Problems with Coupling and Shared Constraints

2020 ◽  
Vol 32 ◽  
pp. 3-16
Author(s):  
L. Altangerel ◽  
◽  
G. Battur ◽  
Keyword(s):  
Nash Equilibrium ◽  
Equilibrium Problems ◽  
Conjugate Duality ◽  
Exact Penalty ◽  
Generalized Nash Equilibrium ◽  
Penalty Approach ◽  
Shared Constraints ◽  
Generalized Nash Equilibrium Problems

On the solution of affine generalized Nash equilibrium problems with shared constraints by Lemke’s method

2012 ◽  
Vol 142 (1-2) ◽  
pp. 1-46 ◽  
Author(s):  
Dane A. Schiro ◽  
Jong-Shi Pang ◽  
Uday V. Shanbhag
Keyword(s):  
Nash Equilibrium ◽  
Equilibrium Problems ◽  
Generalized Nash Equilibrium ◽  
Shared Constraints ◽  
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.

ADMM-Type Methods for Generalized Nash Equilibrium Problems in Hilbert Spaces

2021 ◽  
Vol 31 (1) ◽  
pp. 377-403
Author(s):  
Eike Börgens ◽  
Christian Kanzow
Keyword(s):  
Nash Equilibrium ◽  
Hilbert Spaces ◽  
Equilibrium Problems ◽  
Generalized Nash Equilibrium ◽  
Generalized Nash Equilibrium Problems
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