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

M.-G. Cojocaru; E. Wild; A. Small

doi:10.1007/s11081-018-9379-4

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

Optimization and Engineering ◽

10.1007/s11081-018-9379-4 ◽

2018 ◽

Vol 19 (4) ◽

pp. 845-870 ◽

Cited By ~ 1

Author(s):

M.-G. Cojocaru ◽

E. Wild ◽

A. Small

Keyword(s):

Solution Sets ◽

Nash Games ◽

Generalized Nash Games ◽

Shared Constraints

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An Approach Based on Generalized Nash Games and Shared Constraints for Discrete Time Dynamic Games

Dynamic Games and Applications ◽

10.1007/s13235-017-0231-9 ◽

2017 ◽

Vol 8 (4) ◽

pp. 641-670

Author(s):

Mathew P. Abraham ◽

Ankur A. Kulkarni

Keyword(s):

Discrete Time ◽

Dynamic Games ◽

Time Dynamic ◽

Nash Games ◽

Generalized Nash Games ◽

Shared Constraints ◽

Discrete Time Dynamic Games

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New insights on generalized Nash games with shared constraints: Constrained and variational equilibria

Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference ◽

10.1109/cdc.2009.5399507 ◽

2009 ◽

Cited By ~ 4

Author(s):

Ankur A. Kulkarni ◽

Uday V. Shanbhag

Keyword(s):

Nash Games ◽

Generalized Nash Games ◽

Shared Constraints

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On the Characterization of Solution Sets of Smooth and Nonsmooth Convex Stochastic Nash Games

SIAM Journal on Optimization ◽

10.1137/100792644 ◽

2011 ◽

Vol 21 (3) ◽

pp. 1168-1199 ◽

Cited By ~ 38

Author(s):

Uma Ravat ◽

Uday V. Shanbhag

Keyword(s):

Solution Sets ◽

Nash Games ◽

Stochastic Nash Games

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Generalized Nash games and quasi-variational inequalities

European Journal of Operational Research ◽

10.1016/0377-2217(91)90325-p ◽

1991 ◽

Vol 54 (1) ◽

pp. 81-94 ◽

Cited By ~ 231

Author(s):

Patrick T. Harker

Keyword(s):

Variational Inequalities ◽

Nash Games ◽

Generalized Nash Games

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A Note on Generalized Nash Games Played on Networks

10.1007/978-3-030-72563-1_16 ◽

2021 ◽

pp. 365-380

Author(s):

Mauro Passacantando ◽

Fabio Raciti

Keyword(s):

Nash Games ◽

Generalized Nash Games

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On generalized Nash games and variational inequalities

Operations Research Letters ◽

10.1016/j.orl.2006.03.004 ◽

2007 ◽

Vol 35 (2) ◽

pp. 159-164 ◽

Cited By ~ 140

Author(s):

Francisco Facchinei ◽

Andreas Fischer ◽

Veronica Piccialli

Keyword(s):

Variational Inequalities ◽

Nash Games ◽

Generalized Nash Games

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The replicator dynamics of generalized Nash games

Mathematics in Applied Sciences and Engineering ◽

10.5206/mase/11137 ◽

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.

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