| Abstract: |
| In this seminar, we will address the problem of existence of weak solutions
to monotone mean-field games. We introduce a notion of weak solution and
prove the existence of such weak solutions under a minimal set of assumptions.
We will also examine the properties of these solutions in several examples.
Our approach is based on monotone operator methods and provides a general
framework to construct weak solutions to MFGs with local, nonlocal, or congestion
terms.
This is a joint work with Diogo A. Gomes. |
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