Linear Quadratic Mean-Field Game-Team Analysis: A Mixed Coalition Approach

Jianhui Huang; Zhenghong Qiu; Zeng WU; Shujun Wang

doi:10.1016/j.automatica.2023.111358

Linear Quadratic Mean-Field Game-Team Analysis: A Mixed Coalition Approach

Jianhui Huang
, Zhenghong Qiu
, Zeng WU
, Shujun Wang

Department of Applied Mathematics

Research output: Journal article publication › Journal article › Academic research › peer-review

2 Citations (Scopus)

Abstract

Mean-field theory has been extensively explored in decision analysis of large-scale (LS) systems but traditionally in "pure" cooperative or competitive settings. This leads to the so-called mean-field game (MG) or mean-field team (MT). This paper introduces a new class of LS systems with cooperative inner layer and competitive outer layer, so a "mixed" mean-field analysis is proposed for distributed game-team strategy. A novel asymptotic mixed-equilibrium-optima is also proposed and verified.

Original language	English
Article number	111358
Pages (from-to)	1-8
Number of pages	8
Journal	Automatica
Volume	159
DOIs	https://doi.org/10.1016/j.automatica.2023.111358
Publication status	Published - Jan 2024

Keywords

Mean-field game
Mean-field team
Game-team mixed strategy
Mixed-equilibrium-optima

More information

10.1016/j.automatica.2023.111358

Cite this

@article{081c45eee4b048279fae43b3091c99f0,

title = "Linear Quadratic Mean-Field Game-Team Analysis: A Mixed Coalition Approach",

abstract = "Mean-field theory has been extensively explored in decision analysis of large-scale (LS) systems but traditionally in {"}pure{"} cooperative or competitive settings. This leads to the so-called mean-field game (MG) or mean-field team (MT). This paper introduces a new class of LS systems with cooperative inner layer and competitive outer layer, so a {"}mixed{"} mean-field analysis is proposed for distributed game-team strategy. A novel asymptotic mixed-equilibrium-optima is also proposed and verified. ",

keywords = "Mean-field game, Mean-field team, Game-team mixed strategy, Mixed-equilibrium-optima",

author = "Jianhui Huang and Zhenghong Qiu and Zeng WU and Shujun Wang",

note = "Publisher Copyright: {\textcopyright} 2023 Elsevier Ltd",

year = "2024",

month = jan,

doi = "10.1016/j.automatica.2023.111358",

language = "English",

volume = "159",

pages = "1--8",

journal = "Automatica",

issn = "0005-1098",

publisher = "Elsevier Ltd",

}

TY - JOUR

T1 - Linear Quadratic Mean-Field Game-Team Analysis: A Mixed Coalition Approach

AU - Huang, Jianhui

AU - Qiu, Zhenghong

AU - WU, Zeng

AU - Wang, Shujun

PY - 2024/1

Y1 - 2024/1

N2 - Mean-field theory has been extensively explored in decision analysis of large-scale (LS) systems but traditionally in "pure" cooperative or competitive settings. This leads to the so-called mean-field game (MG) or mean-field team (MT). This paper introduces a new class of LS systems with cooperative inner layer and competitive outer layer, so a "mixed" mean-field analysis is proposed for distributed game-team strategy. A novel asymptotic mixed-equilibrium-optima is also proposed and verified.

AB - Mean-field theory has been extensively explored in decision analysis of large-scale (LS) systems but traditionally in "pure" cooperative or competitive settings. This leads to the so-called mean-field game (MG) or mean-field team (MT). This paper introduces a new class of LS systems with cooperative inner layer and competitive outer layer, so a "mixed" mean-field analysis is proposed for distributed game-team strategy. A novel asymptotic mixed-equilibrium-optima is also proposed and verified.

KW - Mean-field game

KW - Mean-field team

KW - Game-team mixed strategy

KW - Mixed-equilibrium-optima

UR - https://www.scopus.com/pages/publications/85174701274

U2 - 10.1016/j.automatica.2023.111358

DO - 10.1016/j.automatica.2023.111358

M3 - Journal article

SN - 0005-1098

VL - 159

SP - 1

EP - 8

JO - Automatica

JF - Automatica

M1 - 111358

ER -

Linear Quadratic Mean-Field Game-Team Analysis: A Mixed Coalition Approach

Abstract

Keywords

More information

Other files and links

Fingerprint

Cite this