TY  - GEN
AB  - We provide an abstract framework for submodular mean field games and identify verifiable sufficient conditions that allow to prove existence and approximation of strong mean field equilibria in models where data may not be continuous with respect to the measure parameter and common noise is allowed. The setting is general enough to encompass qualitatively different problems, such as mean field games for discrete time finite space Markov chains, singularly controlled and reflected diffusions, and mean field games of optimal timing. Our analysis hinges on Tarski's fixed point theorem, along with technical results on lattices of flows of probabiltiy and sub-probability measures.
DA  - 2022
KW  - Mean field games
KW  - submodularity
KW  - complete lattice of measures
KW  - Tarki's fixed point theorem
KW  - Markov chain
KW  - singular stochastic control
KW  - refelcted diffusion
KW  - optimal stopping.
LA  - eng
PY  - 2022
SN  - 0931-6558
SP  - 37-
TI  - A Unifying Framework for Submodular Mean Field Games
UR  - https://nbn-resolving.org/urn:nbn:de:0070-pub-29607594
Y2  - 2025-04-04T15:35:24
ER  -