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We consider multi-agent decision making, where each agent optimizes its cost function subject to constraints. Agents' actions belong to a compact convex Euclidean space and the agents' cost functions are coupled. We propose a distributed…

最优化与控制 · 数学 2016-12-01 Tatiana Tatarenko , Maryam Kamgarpour

Mean Field Control (MFC) is a powerful approximation tool to solve large-scale Multi-Agent Reinforcement Learning (MARL) problems. However, the success of MFC relies on the presumption that given the local states and actions of all the…

机器学习 · 计算机科学 2023-05-30 Washim Uddin Mondal , Vaneet Aggarwal , Satish V. Ukkusuri

In this paper we consider the problem of distributed channel allocation in large networks under the frequency-selective interference channel. Performance is measured by the weighted sum of achievable rates. First we present a natural…

计算机科学与博弈论 · 计算机科学 2017-04-14 Ilai Bistritz , Amir Leshem

We propose a multi-agent distributed reinforcement learning algorithm that balances between potentially conflicting short-term reward and sparse, delayed long-term reward, and learns with partial information in a dynamic environment. We…

机器学习 · 计算机科学 2022-04-06 Jing Tan , Ramin Khalili , Holger Karl

Achieving the economical and stable operation of Multi-microgrids (MMG) systems is vital. However, there are still some challenging problems to be solved. Firstly, from the perspective of stable operation, it is necessary to minimize the…

系统与控制 · 电气工程与系统科学 2023-07-03 Yijian Wang , Yang Cui , Yang Li , Yang Xu

Consider a 2-player normal-form game repeated over time. We introduce an adaptive learning procedure, where the players only observe their own realized payoff at each stage. We assume that agents do not know their own payoff function, and…

计算机科学与博弈论 · 计算机科学 2013-06-13 Mario Bravo , Mathieu Faure

Multi-agent reinforcement learning (MARL) remains difficult to scale to many agents. Recent MARL using Mean Field Control (MFC) provides a tractable and rigorous approach to otherwise difficult cooperative MARL. However, the strict MFC…

机器学习 · 计算机科学 2024-05-09 Kai Cui , Christian Fabian , Anam Tahir , Heinz Koeppl

We analyze a fixed-point algorithm for reinforcement learning (RL) of optimal portfolio mean-variance preferences in the setting of multivariate generalized autoregressive conditional-heteroskedasticity (MGARCH) with a small penalty on…

计算金融 · 定量金融 2023-02-17 Andrew Papanicolaou , Hao Fu , Prashanth Krishnamurthy , Farshad Khorrami

Repeated games consider a situation where multiple agents are motivated by their independent rewards throughout learning. In general, the dynamics of their learning become complex. Especially when their rewards compete with each other like…

计算机科学与博弈论 · 计算机科学 2023-05-23 Yuma Fujimoto , Kaito Ariu , Kenshi Abe

The mean-field framework has been used to find approximate solutions to problems involving very large populations of symmetric, anonymous agents, which may be intractable by other methods. The cooperative mean-field control (MFC) problem…

多智能体系统 · 计算机科学 2025-12-23 Patrick Benjamin , Alessandro Abate

This paper explores advanced topics in complex multi-agent systems building upon our previous work. We examine four fundamental challenges in Multi-Agent Reinforcement Learning (MARL): non-stationarity, partial observability, scalability…

多智能体系统 · 计算机科学 2024-12-31 Neil De La Fuente , Miquel Noguer i Alonso , Guim Casadellà

We study risk-sensitive multi-agent reinforcement learning under general-sum Markov games, where agents optimize the entropic risk measure of rewards with possibly diverse risk preferences. We show that using the regret naively adapted from…

机器学习 · 计算机科学 2024-05-07 Yingjie Fei , Ruitu Xu

With the rapid advancement of unmanned aerial vehicles (UAVs) and missile technologies, perimeter-defense game between attackers and defenders for the protection of critical regions have become increasingly complex and strategically…

人工智能 · 计算机科学 2025-05-21 Li Wang , Xin Yu , Xuxin Lv , Gangzheng Ai , Wenjun Wu

Mean-field games (MFG) were introduced to efficiently analyze approximate Nash equilibria in large population settings. In this work, we consider entropy-regularized mean-field games with a finite state-action space in a discrete time…

计算机科学与博弈论 · 计算机科学 2022-07-26 Yue Guan , Mi Zhou , Ali Pakniyat , Panagiotis Tsiotras

Mean field games (MFGs) model equilibria in games with a continuum of weakly interacting players as limiting systems of symmetric $n$-player games. We consider the finite-state, infinite-horizon problem with ergodic cost. Assuming Markovian…

最优化与控制 · 数学 2025-03-25 Asaf Cohen , Ethan Zell

Adversarial training, a special case of multi-objective optimization, is an increasingly prevalent machine learning technique: some of its most notable applications include GAN-based generative modeling and self-play techniques in…

We study the problem of learning a Nash equilibrium (NE) in Markov games which is a cornerstone in multi-agent reinforcement learning (MARL). In particular, we focus on infinite-horizon adversarial team Markov games (ATMGs) in which agents…

计算机科学与博弈论 · 计算机科学 2024-10-10 Fivos Kalogiannis , Jingming Yan , Ioannis Panageas

We present a simulation-based approach for solution of mean field games (MFGs), using the framework of empirical game-theoretical analysis (EGTA). Our primary method employs a version of the double oracle, iteratively adding strategies…

多智能体系统 · 计算机科学 2023-02-14 Yongzhao Wang , Michael P. Wellman

The marriage between mean-field theory and reinforcement learning has shown a great capacity to solve large-scale control problems with homogeneous agents. To break the homogeneity restriction of mean-field theory, a recent interest is to…

多智能体系统 · 计算机科学 2026-03-03 Yuanquan Hu , Xiaoli Wei , Junji Yan , Hengxi Zhang

In this work, we consider a novel inverse problem in mean-field games (MFG). We aim to recover the MFG model parameters that govern the underlying interactions among the population based on a limited set of noisy partial observations of the…

数值分析 · 数学 2022-04-12 Yat Tin Chow , Samy Wu Fung , Siting Liu , Levon Nurbekyan , Stanley Osher