no code implementations • 9 Oct 2022 • Rene Carmona, Claire Zeng
We then formulate the limiting mean-field game of controls with common noise and obtain a solution in closed-form via the probabilistic approach for the Almgren-Chris price impact framework.
no code implementations • 29 Apr 2021 • 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 processes of individual traders.
no code implementations • 18 Feb 2021 • 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.
Optimization and Control 49N80, 91A16, 91B76, 49N90, 91A07
no code implementations • 9 Dec 2020 • Rene Carmona
This is an expanded version of the lecture given at the AMS Short Course on Mean Field Games, on January 13, 2020 in Denver CO.