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20152026
most citedDeep Fictitious Play for Finding Markovian Nash Equilibrium in Multi-Agent Games

29 citations · 119 across the 29 of their papers we have counts for

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13 papers · 1 filter

math.OC2026

Modeling Stochastic Multi-Agent Interaction in Intraday Battery Energy Storage Dispatch with Market Power

Ruimeng Hu, Mike Ludkovski, Hezhong Zhang

We develop a stochastic game-theoretic model for intraday dispatch of grid-scale battery energy storage systems (BESSs). We assume that each BESS operator competitively manages her…

math.OC2026

A Continuous-Time Actor-Critic Framework for Jump-Diffusion Controls with Normalizing Flows

Liya Guo, Ruimeng Hu, Xu Yang +1

Continuous-time stochastic control with time-inhomogeneous jump-diffusion dynamics is central in finance and economics, but computing optimal policies is difficult under explicit t…

math.OC2023★ 2 cited

Deep Reinforcement Learning for Infinite Horizon Mean Field Problems in Continuous Spaces

Andrea Angiuli, Jean-Pierre Fouque, Ruimeng Hu +1

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…

math.OC2023★ 1 cited

Stochastic Delay Differential Games: Financial Modeling and Machine Learning Algorithms

Robert Balkin, Hector D. Ceniceros, Ruimeng Hu

In this paper, we propose a numerical methodology for finding the closed-loop Nash equilibrium of stochastic delay differential games through deep learning. These games are prevale…

math.OC2023

Recent Developments in Machine Learning Methods for Stochastic Control and Games

Ruimeng Hu, Mathieu Laurière

Stochastic optimal control and games have a wide range of applications, from finance and economics to social sciences, robotics, and energy management. Many real-world applications…

math.OC2022

Pandemic Control, Game Theory and Machine Learning

Yao Xuan, Robert Balkin, Jiequn Han +2

Game theory has been an effective tool in the control of disease spread and in suggesting optimal policies at both individual and area levels. In this AMS Notices article, we focus…

math.OC2022★ 5 cited

Learning High-Dimensional McKean-Vlasov Forward-Backward Stochastic Differential Equations with General Distribution Dependence

Jiequn Han, Ruimeng Hu, Jihao Long

One of the core problems in mean-field control and mean-field games is to solve the corresponding McKean-Vlasov forward-backward stochastic differential equations (MV-FBSDEs). Most…

math.OC2021★ 4 cited

Signatured Deep Fictitious Play for Mean Field Games with Common Noise

Ming Min, Ruimeng Hu

Existing deep learning methods for solving mean-field games (MFGs) with common noise fix the sampling common noise paths and then solve the corresponding MFGs. This leads to a nest…

math.OC2021

Recurrent Neural Networks for Stochastic Control Problems with Delay

Jiequn Han, Ruimeng Hu

Stochastic control problems with delay are challenging due to the path-dependent feature of the system and thus its intrinsic high dimensions. In this paper, we propose and systema…

math.OC2020★ 6 cited

Optimal Policies for a Pandemic: A Stochastic Game Approach and a Deep Learning Algorithm

Yao Xuan, Robert Balkin, Jiequn Han +2

Game theory has been an effective tool in the control of disease spread and in suggesting optimal policies at both individual and area levels. In this paper, we propose a multi-reg…

math.OC2020★ 12 cited

Convergence of Deep Fictitious Play for Stochastic Differential Games

Jiequn Han, Ruimeng Hu, Jihao Long

Stochastic differential games have been used extensively to model agents' competitions in Finance, for instance, in P2P lending platforms from the Fintech industry, the banking sys…

math.OC2019★ 29 cited

Deep Fictitious Play for Finding Markovian Nash Equilibrium in Multi-Agent Games

Jiequn Han, Ruimeng Hu

We propose a deep neural network-based algorithm to identify the Markovian Nash equilibrium of general large -player stochastic differential games. Following the idea of fictiti…

math.OC2019★ 10 cited

Deep Fictitious Play for Stochastic Differential Games

Ruimeng Hu

In this paper, we apply the idea of fictitious play to design deep neural networks (DNNs), and develop deep learning theory and algorithms for computing the Nash equilibrium of asy…