activity
20022026
most citedA probabilistic weak formulation of mean field games and applications

181 citations · 548 across the 46 of their papers we have counts for

collaborators

50 papers

math.OC2026

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…

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…

q-fin.MF2022

Optimal Execution with Identity Optionality

Rene Carmona, Claire Zeng

This paper investigates the impact of anonymous trading on the agents' strategy in an optimal execution framework. It mainly explores the specificity of order attribution on the To…

stat.AP2022

Joint Stochastic Model for Electric Load, Solar and Wind Power at Asset Level and Monte Carlo Scenario GenerationRené Carmona \& Xinshuo Yang

Rene Carmona, Xinshuo Yang

For the purpose of Monte Carlo scenario generation, we propose a graphical model for the joint distribution of wind power and electricity demand in a given region. To conform with…

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…

stat.ME2021★ 2 cited

GLASSO Model for Electric Load and Wind Power and Monte Carlo Scenario Generation

René Carmona, Xinshuo Yang

For the purpose of Monte Carlo scenario generation, we propose a graphical model for the joint distribution of wind power and electricity demand in a given region. To conform with…