181 citations · 548 across the 46 of their papers we have counts for
15 papers · 1 filter
A Singular Control Problem for Data Center Electricity Cost Minimization
Rene Carmona, Xiaoyu Cui
The goal of the paper is to provide a complete analysis of a stochastic control problem when the cost to minimize involves the running maximum of the underlying controlled state pr…
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…
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…
Deep Learning for Mean Field Games and Mean Field Control with Applications to Finance
René Carmona, Mathieu Laurière
Financial markets and more generally macro-economic models involve a large number of individuals interacting through variables such as prices resulting from the aggregate behavior…
Finite State Graphon Games with Applications to Epidemics
Alexander Aurell, Rene Carmona, Gokce Dayanikli +1
We consider a game for a continuum of non-identical players evolving on a finite state space. Their heterogeneous interactions are represented by a graphon, which can be viewed as…
Mean Field Models to Regulate Carbon Emissions in Electricity Production
Rene Carmona, Gokce Dayanikli, Mathieu Lauriere
The most serious threat to ecosystems is the global climate change fueled by the uncontrolled increase in carbon emissions. In this project, we use mean field control and mean fiel…