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Monotone solutions for mean field games master equations : finite state space and optimal stopping

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 نشر من قبل Charles Bertucci
 تاريخ النشر 2020
  مجال البحث
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 تأليف Charles Bertucci




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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.

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