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Mixed-Strategy Learning With Continuous Action Sets

delete2017-01-01
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OA
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S
Steven W. Perkins
P
Panayotis Mertikopoulos
D
David S. Leslie *
DOI:10.1109/TAC.2015.2511930delete
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摘要

摘要

En 中文
Motivated by the recent applications of game-theoretical learning to the design of distributed control systems, we study a class of control problems that can be formulated as potential games with continuous action sets. We propose an actor-critic reinforcement learning algorithm that adapts mixed strategies over continuous action spaces. To analyze the algorithm, we extend the theory of finite-dimensional two-timescale stochastic approximation to a Banach space setting, and prove that the continuous dynamics of the process converge to equilibrium in the case of potential games. These results combine to give a provably-convergent learning algorithm in which players do not need to keep track of the controls selected by other agents.
Keyword:
Control systems: Decentralised control
Mathematics: Algorithms: Distributed algorithms
Mathematics: Functional analysis
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期刊

IEEE Transactions on Automatic Control 封面图
IEEE Transactions on Automatic Control
IF:
7
论文数:
1.3W
被引数:
6.7W

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centre national de la recherche scientifique (cnrs)
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institut national polytechnique de grenoble
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University of Bristol
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