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- W2895053541 abstract "A novel framework is presented that combines Mean Field Game (MFG) theory and Hybrid Optimal Control (HOC) theory to obtain a unique $epsilon$-Nash equilibrium for a non-cooperative game with stopping times. We consider the case where there exists one major agent with a significant influence on the system together with a large number of minor agents constituting two subpopulations, each with individually asymptotically negligible effect on the whole system. Each agent has stochastic linear dynamics with quadratic costs, and the agents are coupled in their dynamics by the average state of minor agents (i.e. the empirical mean field). The hybrid feature enters via the indexing by discrete states: (i) the switching of the major agent between alternative dynamics or (ii) the termination of the agents' trajectories in one or both of the subpopulations of minor agents. Optimal switchings and stopping time strategies together with best response control actions for, respectively, the major agent and all minor agents are established with respect to their individual cost criteria by an application of LQG HOC theory." @default.
- W2895053541 created "2018-10-12" @default.
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- W2895053541 date "2018-10-06" @default.
- W2895053541 modified "2023-09-27" @default.
- W2895053541 title "A Hybrid Optimal Control Approach to LQG Mean Field Games with Switching and Stopping Strategies." @default.
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