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arXiv · 2109.01791

A duality approach to a price formation MFG model

Yuri Ashrafyan·Tigran Bakaryan·Diogo Gomes·Julian Gutierrez
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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].

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Yuri Ashrafyan, Tigran Bakaryan, Diogo Gomes, Julian Gutierrez. 2021-09-11. A duality approach to a price formation MFG model. https://arxiv.org/abs/2109.01791

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