Mean Field Stochastic Games with Binary Action Spaces and Monotone Costs

Minyi Huang; Yan Ma

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arXiv · 1701.06661

Mean Field Stochastic Games with Binary Action Spaces and Monotone Costs

Minyi Huang·Yan Ma

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Abstract

This paper considers mean field games in a multi-agent Markov decision process (MDP) framework. Each player has a continuum state and binary action. By active control, a player can bring its state to a resetting point. All players are coupled through their cost functions. The structural property of the individual strategies is characterized in terms of threshold policies when the mean field game admits a solution. We further introduce a stationary equation system of the mean field game and analyze uniqueness of its solution under positive externalities.

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Minyi Huang, Yan Ma. 2017-01-23. Mean Field Stochastic Games with Binary Action Spaces and Monotone Costs. https://arxiv.org/abs/1701.06661

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