Crowd-Averse Cyber-Physical Systems: The Paradigm of Robust Mean-Field Games

Recently there has been renewed interest in large-scale games in several research disciplines, with diverse application domains as in the smart grid, cloud computing, financial markets, biochemical reaction networks, transportation science, and molecular biology. Prior works have provided rich mathematical foundations and equilibrium concepts but relatively little in terms of robustness in the presence of uncertainties. In this paper, we study mean field games with uncertainty in both states and payoffs. We consider a population of players with individual states driven by a standard Brownian motion and a disturbance term. The contribution is threefold: First, we establish a mean field system for such robust games. Second, we apply the methodology to production of an exhaustible resource. Third, we show that the dimension of the mean field system can be significantly reduced by considering a functional of the first moment of the mean field process.

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“…Then, there exists a unique solution x n = (x n j ) j which is F -adapted, satisfies (7), and such that x n (·) has continuous paths:…”

Section: Proposition 1 Assume That Each Of the Functions α β σ Is Pmentioning

confidence: 99%

“…6). In a companion brief paper (see [7]), we apply the robust mean field game paradigm to cyber-physical systems.…”

Section: Introductionmentioning

confidence: 99%

Robust Mean Field Games

2015

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Bio-Inspired Dynamic Collective Choice in Large-Population Systems: A Robust Mean-Field Game Perspective

Qin

Wang

et al. 2022

IEEE Trans. Neural Netw. Learning Syst.

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Cyber Physical System (CPS)-Based Industry 4.0: A Survey

2017

J. Ind. Intg. Mgmt.

158

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Cyber Physical System (CPS) has provided an outstanding foundation to build advanced industrial systems and applications by integrating innovative functionalities through Internet of Things (IoT) and Web of Things (WoB) to enable connection of the operations of the physical reality with computing and communication infrastructures. A wide range of industrial CPS-based applications have been developed and deployed in Industry 4.0. In order to understand the development of CPS in Industry 4.0, this paper reviews the current research of CPS, key enabling technologies, major CPS applications in industries, and identifies research trends and challenges. A main contribution of this review paper is that it summarizes the current state-of-the-art CPS in Industry 4.0 from Web of Science (WoS) database (including 595 articles) and proposes a potential framework of CPS systematically.

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Crowd-Averse Cyber-Physical Systems: The Paradigm of Robust Mean-Field Games

Cited by 4 publications

References 21 publications

Robust Mean Field Games

Robust Mean Field Games

Bio-Inspired Dynamic Collective Choice in Large-Population Systems: A Robust Mean-Field Game Perspective

Cyber Physical System (CPS)-Based Industry 4.0: A Survey

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