A Note on Generalized Nash Games Played on Networks

2021 ◽  
pp. 365-380
Author(s):  
Mauro Passacantando ◽  
Fabio Raciti
Keyword(s):  
Nash Games ◽  
Generalized Nash Games

On generalized Nash games and variational inequalities

2007 ◽  
Vol 35 (2) ◽  
pp. 159-164 ◽  
Author(s):  
Francisco Facchinei ◽  
Andreas Fischer ◽  
Veronica Piccialli
Keyword(s):  
Variational Inequalities ◽  
Nash Games ◽  
Generalized Nash Games

scholarly journals The replicator dynamics of generalized Nash games

2021 ◽  
pp. 1-15
Author(s):  
Jason Lequyer ◽  
Monica-Gabriela Cojocaru
Keyword(s):  
Replicator Dynamics ◽  
Evolutionary Games ◽  
Replicator Equation ◽  
Nash Games ◽  
Phenotypic Changes ◽  
Generalized Nash Games ◽  
The Past ◽  
Interacting Populations ◽  
Common Framework ◽  
The Relationship

Generalized Nash Games are a powerful modelling tool, first introduced in the 1950's. They have seen some important developments in the past two decades. Separately, Evolutionary Games were introduced in the 1960's and seek to describe how natural selection can drive phenotypic changes in interacting populations. In this paper, we show how the dynamics of these two independently formulated models can be linked under a common framework and how this framework can be used to expand Evolutionary Games. At the center of this unified model is the Replicator Equation and the relationship we establish between it and the lesser known Projected Dynamical System.

The noncooperative transportation problem and linear generalized Nash games

2018 ◽  
Vol 266 (2) ◽  
pp. 543-553 ◽  
Author(s):  
Oliver Stein ◽  
Nathan Sudermann-Merx
Keyword(s):  
Transportation Problem ◽  
Nash Games ◽  
Generalized Nash Games

The Cone Condition and Nonsmoothness in Linear Generalized Nash Games

2015 ◽  
Vol 170 (2) ◽  
pp. 687-709 ◽  
Author(s):  
Oliver Stein ◽  
Nathan Sudermann-Merx
Keyword(s):  
Cone Condition ◽  
Nash Games ◽  
Generalized Nash Games

Equilibrium problems and generalized Nash games

Optimization ◽  
2011 ◽  
Vol 60 (8-9) ◽  
pp. 1161-1170 ◽  
Author(s):  
Mostafa Nasri ◽  
Wilfredo Sosa
Keyword(s):  
Equilibrium Problems ◽  
Nash Games ◽  
Generalized Nash Games

On describing the solution sets of generalized Nash games with shared constraints

2018 ◽  
Vol 19 (4) ◽  
pp. 845-870 ◽  
Author(s):  
M.-G. Cojocaru ◽  
E. Wild ◽  
A. Small
Keyword(s):  
Solution Sets ◽  
Nash Games ◽  
Generalized Nash Games ◽  
Shared Constraints
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