Dianetti, Jodi; Ferrari, Giorgio; Fischer, Markus; Nendel, Max: Submodular Mean Field Games. Existence and Approximation of Solutions. In: . Jg.621. 2019
Inhalt
- 1. Introduction
- 2. The submodular mean field game
- 2.1. The mean field game problem
- 2.2. The lattice structure
- 2.3. The submodularity condition
- 2.4. The best-response-map
- 2.5. Existence and approximation of MFG solutions
- 3. Relaxed submodular mean field games
- 4. Concluding remarks and further extensions
- 4.1. On linear-quadratic MFG
- 4.2. On a geometric dynamics
- 4.3. On mean field dependent dynamics
- 4.4. On a class of MFGs with common noise
- Appendix A. Some results on first order stochastic dominance
- Acknowledgements
- References