no code implementations • 19 Sep 2023 • Andrea Angiuli, Jean-Pierre Fouque, Ruimeng Hu, Alan Raydan
We present the development and analysis of a reinforcement learning (RL) algorithm designed to solve continuous-space mean field game (MFG) and mean field control (MFC) problems in a unified manner.
no code implementations • 20 Jun 2023 • Francesca Biagini, Alessandro Doldi, Jean-Pierre Fouque, Marco Frittelli, Thilo Meyer-Brandis
We introduce the notions of Collective Arbitrage and of Collective Super-replication in a setting where agents are investing in their markets and are allowed to cooperate through exchanges.
no code implementations • 2 Feb 2023 • Alessandro Doldi, Yichen Feng, Jean-Pierre Fouque, Marco Frittelli
In this work we propose deep learning-based algorithms for the computation of systemic shortfall risk measures defined via multivariate utility functions.
no code implementations • 2 Jul 2022 • Yichen Feng, Ming Min, Jean-Pierre Fouque
The aim of this paper is to study a new methodological framework for systemic risk measures by applying deep learning method as a tool to compute the optimal strategy of capital allocations.
no code implementations • 1 Feb 2022 • Yichen Feng, Jean-Pierre Fouque, Ruimeng Hu, Tomoyuki Ichiba
We introduce the concept of Nash equilibrium for these new models, and analyze the optimal solution under Gaussian distribution of the risk factor.
no code implementations • 25 Jun 2021 • Andrea Angiuli, Jean-Pierre Fouque, Mathieu Lauriere
Mean field games (MFG) and mean field control problems (MFC) are frameworks to study Nash equilibria or social optima in games with a continuum of agents.
no code implementations • 22 Jun 2021 • Jean-Pierre Fouque, Ruimeng Hu, Ronnie Sircar
The problem of portfolio optimization when stochastic factors drive returns and volatilities has been studied in previous works by the authors.
no code implementations • 25 Jan 2021 • Jean-Pierre Fouque, Sebastian Jaimungal, Yuri F. Saporito
Trading frictions are stochastic.
no code implementations • 24 Jun 2020 • Andrea Angiuli, Jean-Pierre Fouque, Mathieu Laurière
We present a Reinforcement Learning (RL) algorithm to solve infinite horizon asymptotic Mean Field Game (MFG) and Mean Field Control (MFC) problems.
no code implementations • 20 Aug 2019 • Maxim Bichuch, Jean-Pierre Fouque
The problem of portfolio allocation in the context of stocks evolving in random environments, that is with volatility and returns depending on random factors, has attracted a lot of attention.
no code implementations • 19 Feb 2019 • Jean-Pierre Fouque, Ruimeng Hu
This completes the analysis of portfolio optimization in both fast mean-reverting and slowly-varying Markovian stochastic environments.