Mean field social optimization: Feedback person-by-person optimality and the master equation

Minyi Huang, Shuenn Jyi Sheu, Li Hsien Sun

研究成果: 書貢獻/報告類型會議論文篇章同行評審

摘要

This paper considers a nonlinear mean field social optimization problem which aims to minimize a social cost. By use of a finite player model, we apply dynamic programming to formalize a person-by-person (PbP) optimality condition in a feedback form. This procedure leads to a new Hamilton-Jacobi-Bellman equation which involves differentiation with respect to probability measure and is called the master equation of social optimization. For the linear-quadratic (LQ) case, an explicit solution of the master equation is obtained.

原文???core.languages.en_GB???
主出版物標題2020 59th IEEE Conference on Decision and Control, CDC 2020
發行者Institute of Electrical and Electronics Engineers Inc.
頁面4921-4926
頁數6
ISBN(電子)9781728174471
DOIs
出版狀態已出版 - 14 12月 2020
事件59th IEEE Conference on Decision and Control, CDC 2020 - Virtual, Jeju Island, Korea, Republic of
持續時間: 14 12月 202018 12月 2020

出版系列

名字Proceedings of the IEEE Conference on Decision and Control
2020-December
ISSN(列印)0743-1546
ISSN(電子)2576-2370

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???event.eventtypes.event.conference???59th IEEE Conference on Decision and Control, CDC 2020
國家/地區Korea, Republic of
城市Virtual, Jeju Island
期間14/12/2018/12/20

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