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
Showing 2021Show all

6 papers · 1 filter

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…

math.OC2021★ 2 cited

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…

math.OC2021

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…

math.PR2021

Stochastic Graphon Games: II. The Linear-Quadratic Case

Alexander Aurell, Rene Carmona, Mathieu Lauriere

In this paper, we analyze linear-quadratic stochastic differential games with a continuum of players interacting through graphon aggregates, each state being subject to idiosyncrat…

q-fin.TR2021

Optimal Execution with Quadratic Variation Inventories

Rene Carmona, Laura Leal

The first half of the paper is devoted to description and implementation of statistical tests arguing for the presence of a Brownian component in the inventories and wealth process…

math.OC2021

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…