scholarly journals Learning Generalized Nash Equilibria in a Class of Convex Games

2019 ◽  
Vol 64 (4) ◽  
pp. 1426-1439 ◽  
Author(s):  
Tatiana Tatarenko ◽  
Maryam Kamgarpour
Keyword(s):  
Nash Equilibria ◽  
Convex Games ◽  
Generalized Nash Equilibria

On Structure and Computation of Generalized Nash Equilibria

2013 ◽  
Vol 23 (1) ◽  
pp. 452-474 ◽  
Author(s):  
D. Dorsch ◽  
H. Th. Jongen ◽  
V. Shikhman
Keyword(s):  
Nash Equilibria ◽  
Generalized Nash Equilibria

scholarly journals Generalized Nash equilibria for SaaS/PaaS Clouds

2014 ◽  
Vol 236 (1) ◽  
pp. 326-339 ◽  
Author(s):  
Jonatha Anselmi ◽  
Danilo Ardagna ◽  
Mauro Passacantando
Keyword(s):  
Nash Equilibria ◽  
Generalized Nash Equilibria

scholarly journals Convex generalized Nash equilibrium problems and polynomial optimization

2021 ◽  
Author(s):  
Jiawang Nie ◽  
Xindong Tang
Keyword(s):  
Nash Equilibrium ◽  
Numerical Experiments ◽  
Nash Equilibria ◽  
Equilibrium Problems ◽  
Polynomial Optimization ◽  
Generalized Nash Equilibrium ◽  
Semidefinite Relaxations ◽  
The Moment ◽  
Generalized Nash Equilibria ◽  
Generalized Nash Equilibrium Problems

AbstractThis paper studies convex generalized Nash equilibrium problems that are given by polynomials. We use rational and parametric expressions for Lagrange multipliers to formulate efficient polynomial optimization for computing generalized Nash equilibria (GNEs). The Moment-SOS hierarchy of semidefinite relaxations are used to solve the polynomial optimization. Under some general assumptions, we prove the method can find a GNE if there exists one, or detect nonexistence of GNEs. Numerical experiments are presented to show the efficiency of the method.

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