Mean Field Games and the Control of Large Scale Systems: An Overview

Add to your list(s) Download to your calendar using vCal

• Peter E. Caines, McGill University, Montreal
• Wednesday 20 July 2016, 11:30-12:30
• Cambridge University Engineering Department, Lecture Room 1.

If you have a question about this talk, please contact Tim Hughes.

Mean Field Game (MFG) theory provides tractable strategies for the decentralized control of large scale systems. The power of the formulation arises from the relative tractability of its infinite population McKean-Vlasov (MV) Hamilton-Jacobi-Bellman equations and the associated MV-Fokker-Planck-Kolmogorov equations, where these are linked by the distribution of the state of a generic agent, otherwise known as the system’s mean field. The resulting decentralized feedback controls yield approximate Nash equilibria and depend only upon an agent’s state and the mean field. Applications of MFG theory are being investigated within engineering, finance, economics and social dynamics, while theoretical developments include existence and uniqueness theory for solutions to the MFG equations, major-minor (MM) agent systems containing asymptotically non-negligible agents, non-linear estimation theory for MM-MFG systems, and the comparison of centralized (optimal) control and MFG control performance.

This talk is part of the CUED Control Group Seminars series.

This talk is included in these lists:

• Cambridge University Engineering Department, Lecture Room 1
• All Talks (aka the CURE list)
• CUED Control Group Seminars
• Cambridge Centre for Data-Driven Discovery (C2D3)
• Cambridge University Engineering Department Talks
• Centre for Smart Infrastructure & Construction
• Chris Davis' list
• Featured lists
• Information Engineering Division seminar list
• Interested Talks
• School of Technology
• Signal Processing and Communications Lab Seminars
• Trust & Technology Initiative - interesting events
• bld31
• ndk22's list
• rp587

Note that ex-directory lists are not shown.