English

Mean field games with incomplete information

Analysis of PDEs 2023-08-03 v2

Abstract

This paper is concerned with mean field games in which the players do not know the repartition of the other players. First a case in which the players do not gain information is studied. Results of existence and uniqueness are proved and discussed. Then, a case in which the players observe the payments is investigated. A master equation is derived and partial results of uniqueness are given for this more involved case.

Keywords

Cite

@article{arxiv.2205.07703,
  title  = {Mean field games with incomplete information},
  author = {Charles Bertucci},
  journal= {arXiv preprint arXiv:2205.07703},
  year   = {2023}
}
R2 v1 2026-06-24T11:18:37.997Z