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math.OC2019★ 2 cited
Submodular Mean Field Games: Existence and Approximation of Solutions
Jodi Dianetti, Giorgio Ferrari, Markus Fischer +1
We study mean field games with scalar It{ô}-type dynamics and costs that are submodular with respect to a suitable order relation on the state and measure space. The submodularity…
math.OC2019
On the asymptotic nature of first order mean field games
Markus Fischer, Francisco J. Silva
For a class of finite horizon first order mean field games and associated N-player games, we give a simple proof of convergence of symmetric N-player Nash equilibria in distributed…