English

Krasovskii-Subbotin approach to mean field type differential games

Optimization and Control 2018-12-14 v3

Abstract

A mean field type differential game is a mathematical model of a large system of identical agents under mean-field interaction controlled by two players with opposite purposes. We study the case when the dynamics of each agent is given by ODE and the players can observe the distribution of the agents. We construct suboptimal strategies and prove the existence of the value function.

Keywords

Cite

@article{arxiv.1802.00487,
  title  = {Krasovskii-Subbotin approach to mean field type differential games},
  author = {Yurii Averboukh},
  journal= {arXiv preprint arXiv:1802.00487},
  year   = {2018}
}

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26 pages