Mean Field Stochastic Games with Binary Action Spaces and Monotone Costs
Optimization and Control
2017-01-25 v1
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.
Keywords
Cite
@article{arxiv.1701.06661,
title = {Mean Field Stochastic Games with Binary Action Spaces and Monotone Costs},
author = {Minyi Huang and Yan Ma},
journal= {arXiv preprint arXiv:1701.06661},
year = {2017}
}
Comments
24 pages