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arXiv · 1712.03578

Steering the distribution of agents in mean-field and cooperative games

Yongxin Chen·Tryphon T. Georgiou·Michele Pavon
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Abstract

The purpose of this work is to pose and solve the problem to guide a collection of weakly interacting dynamical systems (agents, particles, etc.) to a specified terminal distribution. The framework is that of mean-field and of cooperative games. A terminal cost is used to accomplish the task; we establish that the map between terminal costs and terminal probability distributions is onto. Our approach relies on and extends the theory of optimal mass transport and its generalizations.

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Yongxin Chen, Tryphon T. Georgiou, Michele Pavon. 2017-12-10. Steering the distribution of agents in mean-field and cooperative games. https://arxiv.org/abs/1712.03578

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