Equivalent Bilevel Programming Form for the Generalized Nash Equilibrium Problem

Lianju Sun

doi:10.5539/jmr.v2n1p8

Equivalent Bilevel Programming Form for the Generalized Nash Equilibrium Problem

Journal of Mathematics Research ◽

10.5539/jmr.v2n1p8 ◽

2010 ◽

Vol 2 (1) ◽

Cited By ~ 2

Author(s):

Lianju Sun

Keyword(s):

Nash Equilibrium ◽

Equilibrium Problem ◽

Bilevel Programming ◽

Generalized Nash Equilibrium Problem ◽

Generalized Nash Equilibrium ◽

Nash Equilibrium Problem

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Generalized Nash equilibrium problem, variational inequality and quasiconvexity

Operations Research Letters ◽

10.1016/j.orl.2008.01.002 ◽

2008 ◽

Vol 36 (4) ◽

pp. 461-464 ◽

Cited By ~ 22

Author(s):

Didier Aussel ◽

Joydeep Dutta

Keyword(s):

Variational Inequality ◽

Nash Equilibrium ◽

Equilibrium Problem ◽

Generalized Nash Equilibrium Problem ◽

Generalized Nash Equilibrium ◽

Nash Equilibrium Problem

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Optimization reformulations of the generalized Nash equilibrium problem using regularized indicator Nikaidô–Isoda function

Journal of Global Optimization ◽

10.1007/s10898-012-9978-0 ◽

2012 ◽

Vol 57 (3) ◽

pp. 843-861 ◽

Cited By ~ 3

Author(s):

C. S. Lalitha ◽

Mansi Dhingra

Keyword(s):

Nash Equilibrium ◽

Equilibrium Problem ◽

Generalized Nash Equilibrium Problem ◽

Generalized Nash Equilibrium ◽

Nash Equilibrium Problem ◽

Optimization Reformulations

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Addendum to “Generalized Nash equilibrium problem, variational inequality and quasiconvexity” [Oper. Res. Lett. 36 (4) (2008) 461–464]

Operations Research Letters ◽

10.1016/j.orl.2014.06.008 ◽

2014 ◽

Vol 42 (6-7) ◽

pp. 398 ◽

Cited By ~ 1

Author(s):

D. Aussel ◽

J. Dutta

Keyword(s):

Variational Inequality ◽

Nash Equilibrium ◽

Equilibrium Problem ◽

Generalized Nash Equilibrium Problem ◽

Generalized Nash Equilibrium ◽

Nash Equilibrium Problem

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Solving generalized Nash equilibrium problem with equality and inequality constraints

Optimization Methods and Software ◽

10.1080/10556780802578884 ◽

2009 ◽

Vol 24 (3) ◽

pp. 327-337

Author(s):

Qing Xu ◽

Xi Dai ◽

Bo Yu

Keyword(s):

Nash Equilibrium ◽

Equilibrium Problem ◽

Inequality Constraints ◽

Generalized Nash Equilibrium Problem ◽

Generalized Nash Equilibrium ◽

Nash Equilibrium Problem ◽

Equality And Inequality Constraints

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Generalized Nash Equilibrium Problem Involving Uncertain Random Variable

IOP Conference Series Materials Science and Engineering ◽

10.1088/1757-899x/452/3/032047 ◽

2018 ◽

Vol 452 ◽

pp. 032047

Author(s):

Zhifu Jia

Keyword(s):

Nash Equilibrium ◽

Equilibrium Problem ◽

Random Variable ◽

Generalized Nash Equilibrium Problem ◽

Generalized Nash Equilibrium ◽

Uncertain Random Variable ◽

Nash Equilibrium Problem

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A parametrized variational inequality approach to track the solution set of a generalized nash equilibrium problem

European Journal of Operational Research ◽

10.1016/j.ejor.2019.11.054 ◽

2020 ◽

Vol 283 (3) ◽

pp. 1136-1147 ◽

Cited By ~ 2

Author(s):

Tangi Migot ◽

Monica-G. Cojocaru

Keyword(s):

Variational Inequality ◽

Nash Equilibrium ◽

Equilibrium Problem ◽

Solution Set ◽

Generalized Nash Equilibrium Problem ◽

Generalized Nash Equilibrium ◽

Nash Equilibrium Problem

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Generalized Nash equilibrium problem over a fuzzy strategy set

Fuzzy Sets and Systems ◽

10.1016/j.fss.2021.06.006 ◽

2021 ◽

Author(s):

Xing Wang ◽

Kok Lay Teo

Keyword(s):

Nash Equilibrium ◽

Equilibrium Problem ◽

Generalized Nash Equilibrium Problem ◽

Generalized Nash Equilibrium ◽

Nash Equilibrium Problem

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Generalized nash equilibrium problem based on malfatti's problem

Numerical Algebra Control & Optimization ◽

10.3934/naco.2020022 ◽

2019 ◽

Vol 0 (0) ◽

pp. 0-0

Author(s):

Enkhbat Rentsen ◽

◽

Battur Gompil ◽

Keyword(s):

Nash Equilibrium ◽

Equilibrium Problem ◽

Generalized Nash Equilibrium Problem ◽

Generalized Nash Equilibrium ◽

Nash Equilibrium Problem ◽

Malfatti’S Problem

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MODELING THE POWER ALLOCATION IN DYNAMIC SPECTRUM ACCESS FOR COGNITIVE RADIOS AS A GENERALIZED NASH EQUILIBRIUM PROBLEM

International Journal of Pure and Apllied Mathematics ◽

10.12732/ijpam.v95i3.12 ◽

2014 ◽

Vol 95 (3) ◽

Author(s):

L. Prati

Keyword(s):

Nash Equilibrium ◽

Power Allocation ◽

Equilibrium Problem ◽

Dynamic Spectrum Access ◽

Cognitive Radios ◽

Dynamic Spectrum ◽

Generalized Nash Equilibrium Problem ◽

Generalized Nash Equilibrium ◽

Spectrum Access ◽

Nash Equilibrium Problem

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Optimization reformulations of the generalized Nash equilibrium problem using Nikaido-Isoda-type functions

Computational Optimization and Applications ◽

10.1007/s10589-007-9145-6 ◽

2007 ◽

Vol 43 (3) ◽

pp. 353-377 ◽

Cited By ~ 71

Author(s):

Anna von Heusinger ◽

Christian Kanzow

Keyword(s):

Nash Equilibrium ◽

Equilibrium Problem ◽

Generalized Nash Equilibrium Problem ◽

Generalized Nash Equilibrium ◽

Nash Equilibrium Problem ◽

Optimization Reformulations

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