Monotone solutions for mean field games master equations: finite state space and optimal stopping
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Publication:2034725
DOI10.5802/JEP.167zbMATH Open1472.35394arXiv2007.11854OpenAlexW3044364265MaRDI QIDQ2034725
Author name not available (Why is that?)
Publication date: 22 June 2021
Published in: (Search for Journal in Brave)
Abstract: We present a new notion of solution for mean field games master equations. This notion allows us to work with solutions which are merely continuous. We prove first results of uniqueness and stability for such solutions. It turns out that this notion is helpful to characterize the value function of mean field games of optimal stopping or impulse control and this is the topic of the second half of this paper. The notion of solution we introduce is only useful in the monotone case. We focus in this paper in the finite state space case.
Full work available at URL: https://arxiv.org/abs/2007.11854
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