Approximation of Nash Games with a Large Number of Players

2013 ◽  
pp. 31-43
Author(s):  
Alain Bensoussan ◽  
Jens Frehse ◽  
Phillip Yam
Keyword(s):  
Nash Games

scholarly journals On a Class of Differential Variational Inequalities in Infinite-Dimensional Spaces

Mathematics ◽  
2021 ◽  
Vol 9 (3) ◽  
pp. 266 ◽  
Author(s):  
Savin Treanţă
Keyword(s):  
Optimal Control ◽  
Variational Inequality ◽  
Variational Inequalities ◽  
Optimal Control Theory ◽  
Infinite Dimensional ◽  
Nash Games ◽  
New Class ◽  
Set Valued Mappings ◽  
Differential Variational Inequalities ◽  
Theoretical Developments

A new class of differential variational inequalities (DVIs), governed by a variational inequality and an evolution equation formulated in infinite-dimensional spaces, is investigated in this paper. More precisely, based on Browder’s result, optimal control theory, measurability of set-valued mappings and the theory of semigroups, we establish that the solution set of DVI is nonempty and compact. In addition, the theoretical developments are accompanied by an application to differential Nash games.

scholarly journals Combinatorial optimization in nash games

1993 ◽  
Vol 25 (10-11) ◽  
pp. 27-34 ◽  
Author(s):  
Michael M. Kostreva
Keyword(s):  
Combinatorial Optimization ◽  
Nash Games

scholarly journals Data completion problems solved as Nash games

2012 ◽  
Vol 386 ◽  
pp. 012004 ◽  
Author(s):  
A Habbal ◽  
M Kallel
Keyword(s):  
Nash Games ◽  
Data Completion ◽  
Completion Problems

Missing boundary data recovery using Nash games: the Stokes system

2017 ◽  
Vol 78 (3) ◽  
pp. 777-803
Author(s):  
A. Ben Abda ◽  
F. Khayat
Keyword(s):  
Boundary Data ◽  
Stokes System ◽  
Data Recovery ◽  
Nash Games

scholarly journals Gain-Scheduled Nash Games with H ∞ Constraint for Stochastic LPV Systems * *This work was supported by JSPS KAKENHI Grant Numbers 26330027 and 16K00029.

2017 ◽  
Vol 50 (1) ◽  
pp. 1478-1483
Author(s):  
Hiroaki Mukaidani ◽  
Masaru Unno ◽  
Hua Xu ◽  
Vasile Dragan
Keyword(s):  
Nash Games ◽  
Lpv Systems ◽  
Gain Scheduled
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