Some projection-like methods for the generalized Nash equilibria

被引:0
|
作者
Jianzhong Zhang
Biao Qu
Naihua Xiu
机构
[1] City University of Hong Kong,Department of Mathematics
[2] Qufu Normal University,Institute of Operations Research
[3] Beijing Jiaotong University,Department of Applied Mathematics
关键词
Generalized Nash equilibrium; Quasi-variational inequality; Projection-like method; Convergence;
D O I
暂无
中图分类号
学科分类号
摘要
A generalized Nash game is an m-person noncooperative game in which each player’s strategy depends on the rivals’ strategies. Based on a quasi-variational inequality formulation for the generalized Nash game, we present two projection-like methods for solving the generalized Nash equilibria in this paper. It is shown that under certain assumptions, these methods are globally convergent. Preliminary computational experience is also reported.
引用
收藏
页码:89 / 109
页数:20
相关论文
共 50 条
  • [31] Methods for Solving Generalized Nash Equilibrium
    Qu, Biao
    Zhao, Jing
    JOURNAL OF APPLIED MATHEMATICS, 2013,
  • [32] A distributed primal-dual algorithm for computation of generalized Nash equilibria via operator splitting methods
    Yi, Peng
    Pavel, Lacra
    2017 IEEE 56TH ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2017,
  • [33] Generalized Nash Equilibria for the Service Provisioning Problem in Cloud Systems
    Ardagna, Danilo
    Panicucci, Barbara
    Passacantando, Mauro
    IEEE TRANSACTIONS ON SERVICES COMPUTING, 2013, 6 (04) : 429 - 442
  • [34] Bayes-Nash Equilibria of the Generalized Second Price Auction
    Gomes, Renato D.
    Sweeney, Kane S.
    10TH ACM CONFERENCE ON ELECTRONIC COMMERCE - EC 2009, 2009, : 107 - 107
  • [35] Distributed algorithm for ε-generalized Nash equilibria with uncertain coupled constraints
    Chen, Guanpu
    Ming, Yang
    Hong, Yiguang
    Yi, Peng
    AUTOMATICA, 2021, 123
  • [36] The evolution of functional systems through the generalized uncertainty and Nash Equilibria
    Chauvet, Emmanuel
    Computing Anticipatory Systems, 2006, 839 : 579 - 590
  • [37] Optimal Selection and Tracking Of Generalized Nash Equilibria in Monotone Games
    Benenati, Emilio
    Ananduta, Wicak
    Grammatico, Sergio
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2023, 68 (12) : 7644 - 7659
  • [38] Existence of Nash equilibria for generalized games without upper semicontinuity
    Cubiotti P.
    International Journal of Game Theory, 1997, 26 (2) : 267 - 273
  • [39] An operator splitting approach for distributed generalized Nash equilibria computation
    Yi, Peng
    Pavel, Lacra
    AUTOMATICA, 2019, 102 : 111 - 121