A Unified Relation Analysis of Linear-quadratic Mean-field Game, Team and Control
Optimization and Control
2022-11-22 v1
Abstract
This paper revisits well-studied dynamic decisions of weakly coupled large-population (LP) systems. Specifically, three types of LP decision problems: mean-field game (MG), mean-field team (MT), and mean-field-type control (MC), are completely analyzed in a general stochastic linear-quadratic setting with controlled-diffusion in state dynamics and indefinite weight in cost functional. More importantly, interrelations among MG, MT and MC are systematically discussed; some relevant interesting findings are reported that may be applied to a structural analysis of general LP decisions.
Keywords
Cite
@article{arxiv.2211.11195,
title = {A Unified Relation Analysis of Linear-quadratic Mean-field Game, Team and Control},
author = {Huang Jianhui and Qiu Zhenghong and Wang Shujun and Wu Zhen},
journal= {arXiv preprint arXiv:2211.11195},
year = {2022}
}