English

A duality approach to a price formation MFG model

Analysis of PDEs 2021-09-14 v2

Abstract

We study the connection between the Aubry-Mather theory and a mean-field game (MFG) price-formation model. We introduce a framework for Mather measures that is suited for constrained time-dependent problems in R. Then, we propose a variational problem on a space of measures, from which we obtain a duality relation involving the MFG problem examined in [36].

Keywords

Cite

@article{arxiv.2109.01791,
  title  = {A duality approach to a price formation MFG model},
  author = {Yuri Ashrafyan and Tigran Bakaryan and Diogo Gomes and Julian Gutierrez},
  journal= {arXiv preprint arXiv:2109.01791},
  year   = {2021}
}

Comments

27 pages

R2 v1 2026-06-24T05:40:39.390Z