Mean Field Stochastic Games: Monotone Costs and Threshold Policies

被引:0
|
作者
Huang, Minyi [1 ]
Ma, Yan [2 ]
机构
[1] Carleton Univ, Sch Math & Stat, Ottawa, ON K1S 5B6, Canada
[2] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, Peoples R China
关键词
MULTIAGENT SYSTEMS; EQUILIBRIA; PLAYERS; AGENTS;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper considers mean field games in a multi agent Markov decision process (MDP) framework. Each player has a continuum state and binary action. By active control, a player can bring its state to a resetting point. All players are coupled through their cost functions. The structural property of the individual strategies is characterized in terms of threshold policies when the mean field game admits a solution. We further introduce a stationary equation system of the mean field game and provide numerical solutions.
引用
收藏
页码:7105 / 7110
页数:6
相关论文
共 50 条
  • [1] Mean Field Stochastic Games with Binary Actions: Stationary Threshold Policies
    Huang, Minyi
    Ma, Yan
    [J]. 2017 IEEE 56TH ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2017,
  • [2] Optimal Social Policies in Mean Field Games
    Nuno, Galo
    [J]. APPLIED MATHEMATICS AND OPTIMIZATION, 2017, 76 (01): : 29 - 57
  • [3] Optimal Social Policies in Mean Field Games
    Galo Nuño
    [J]. Applied Mathematics & Optimization, 2017, 76 : 29 - 57
  • [4] Forward-backward stochastic differential equations with monotone functionals and mean field games with common noise
    Ahuja, Saran
    Ren, Weiluo
    Yang, Tzu-Wei
    [J]. STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2019, 129 (10) : 3859 - 3892
  • [5] Learning Regularized Monotone Graphon Mean-Field Games
    Zhang, Fengzhuo
    Tan, Vincent Y. F.
    Wang, Zhaoran
    Yang, Zhuoran
    [J]. ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 36 (NEURIPS 2023), 2023,
  • [6] Mean Field Games with Partially Observed Major Player and Stochastic Mean Field
    Sen, Nevroz
    Caines, Peter E.
    [J]. 2014 IEEE 53RD ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2014, : 2709 - 2715
  • [7] Generalization in Mean Field Games by Learning Master Policies
    Perrin, Sarah
    Lauriere, Mathieu
    Perolat, Julien
    Elie, Romuald
    Geist, Matthieu
    Pietquin, Olivier
    [J]. THIRTY-SIXTH AAAI CONFERENCE ON ARTIFICIAL INTELLIGENCE / THIRTY-FOURTH CONFERENCE ON INNOVATIVE APPLICATIONS OF ARTIFICIAL INTELLIGENCE / TWELVETH SYMPOSIUM ON EDUCATIONAL ADVANCES IN ARTIFICIAL INTELLIGENCE, 2022, : 9413 - 9421
  • [8] MONOTONE SOLUTIONS OF THE MASTER EQUATION FOR MEAN FIELD GAMES WITH IDIOSYNCRATIC NOISE
    Cardaliaguet, P. I. E. R. R. E.
    Souganidis, P. A. N. A. G. I. O. T. I. S.
    [J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2022, 54 (04) : 4198 - 4237
  • [9] Quantitative Convergence for Displacement Monotone Mean Field Games with Controlled Volatility
    Jackson, Joe
    Tangpib, Ludovic
    [J]. MATHEMATICS OF OPERATIONS RESEARCH, 2023,
  • [10] Mean Field Games for Stochastic Growth with Relative Utility
    Huang, Minyi
    Son Luu Nguyen
    [J]. APPLIED MATHEMATICS AND OPTIMIZATION, 2016, 74 (03): : 643 - 668