181 citations · 548 across the 46 of their papers we have counts for
Showing 2022 · math.OCShow all
2 papers · 2 filters
math.OC2022
Synchronization in a Kuramoto Mean Field Game
Rene Carmona, Quentin Cormier, H. Mete Soner
The classical Kuramoto model is studied in the setting of an infinite horizon mean field game. The system is shown to exhibit both synchronization and phase transition. Incoherence…
math.OC2022
Mean Field Model for an Advertising Competition in a Duopoly
Rene Carmona, Gokce Dayanikli
In this study, we analyze an advertising competition in a duopoly. We consider two different notions of equilibrium. We model the companies in the duopoly as major players, and the…