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In this paper, we investigate a competitive market involving two agents who consider both their own wealth and the wealth gap with their opponent. Both agents can invest in a financial market consisting of a risk-free asset and a risky…

最优化与控制 · 数学 2025-02-10 Junyi Guo , Xia Han , Hao Wang , Kam Chuen Yuen

This paper addresses the problem of learning an equilibrium efficiently in general-sum Markov games through decentralized multi-agent reinforcement learning. Given the fundamental difficulty of calculating a Nash equilibrium (NE), we…

机器学习 · 计算机科学 2022-02-01 Weichao Mao , Tamer Başar

Nash equilibria provide a principled framework for modeling interactions in multi-agent decision-making and control. However, many equilibrium-seeking methods implicitly assume that each agent has access to the other agents' objectives and…

计算机科学与博弈论 · 计算机科学 2026-03-19 Mahdis Rabbani , Navid Mojahed , Shima Nazari

We consider distributed computation of generalized Nash equilibrium (GNE) over networks, in games with shared coupling constraints. Existing methods require that each player has full access to opponents' decisions. In this paper, we assume…

最优化与控制 · 数学 2024-10-30 Lacra Pavel

This work investigates a problem of simultaneous global cost minimization and Nash equilibrium seeking, which commonly exists in $N$-cluster non-cooperative games. Specifically, the agents in the same cluster collaborate to minimize a…

最优化与控制 · 数学 2022-03-18 Yipeng Pang , Guoqiang Hu

We consider the problem of distributed online optimization, with a group of learners connected via a dynamic communication graph. The goal of the learners is to track the global minimizer of a sum of time-varying loss functions in a…

最优化与控制 · 数学 2021-12-08 Nima Eshraghi , Ben Liang

We study a target coverage problem in which a team of sensing agents, operating under limited communication, must collaboratively monitor targets that may be adaptively repositioned by an attacker. We model this interaction as a zero-sum…

系统与控制 · 电气工程与系统科学 2026-03-19 Jayanth Bhargav , Zirui Xu , Vasileios Tzoumas , Mahsa Ghasemi , Shreyas Sundaram

We argue that the existing regret matchings for Nash equilibrium approximation conduct "jumpy" strategy updating when the probabilities of future plays are set to be proportional to positive regret measures. We propose a geometrical regret…

计算机科学与博弈论 · 计算机科学 2020-01-24 Sizhong Lan

The congestion game is a powerful model that encompasses a range of engineering systems such as traffic networks and resource allocation. It describes the behavior of a group of agents who share a common set of $F$ facilities and take…

计算机科学与博弈论 · 计算机科学 2023-06-27 Jing Dong , Jingyu Wu , Siwei Wang , Baoxiang Wang , Wei Chen

We investigate a repeated two-player zero-sum game setting where the column player is also a designer of the system, and has full control on the design of the payoff matrix. In addition, the row player uses a no-regret algorithm to…

计算机科学与博弈论 · 计算机科学 2023-02-16 Le Cong Dinh , Nick Bishop , Long Tran-Thanh

We revisit the problem of solving two-player zero-sum games in the decentralized setting. We propose a simple algorithmic framework that simultaneously achieves the best rates for honest regret as well as adversarial regret, and in addition…

计算机科学与博弈论 · 计算机科学 2018-06-07 Ehsan Asadi Kangarshahi , Ya-Ping Hsieh , Mehmet Fatih Sahin , Volkan Cevher

Understanding and predicting the behavior of large-scale multi-agents in games remains a fundamental challenge in multi-agent systems. This paper examines the role of heterogeneity in equilibrium formation by analyzing how smooth…

计算机科学与博弈论 · 计算机科学 2025-07-24 Die Hu , Shuyue Hu , Chunjiang Mu , Shiqi Fan , Chen Chu , Jinzhuo Liu , Zhen Wang

We consider a class of nonsmooth aggregative games over networks in stochastic regimes, where each player is characterized by a composite cost function $f_i+r_i$, $f_i$ is a smooth expectation-valued function dependent on its own strategy…

最优化与控制 · 数学 2024-06-28 Jinlong Lei , Uday V. Shanbhag , Jie Chen

This paper presents a new framework for analyzing and designing no-regret algorithms for dynamic (possibly adversarial) systems. The proposed framework generalizes the popular online convex optimization framework and extends it to its…

机器学习 · 计算机科学 2016-08-30 Ian Gemp , Sridhar Mahadevan

This paper studies a distributed online constrained optimization problem over time-varying unbalanced digraphs without explicit subgradients. In sharp contrast to the existing algorithms, we design a novel consensus-based distributed online…

最优化与控制 · 数学 2022-08-26 Yongyang Xiong , Xiang Li , Keyou You , Ligang Wu

We address the Nash equilibrium problem in a partial-decision information scenario, where each agent can only observe the actions of some neighbors, while its cost possibly depends on the strategies of other agents. Our main contribution is…

最优化与控制 · 数学 2021-05-07 Mattia Bianchi , Giuseppe Belgioioso , Sergio Grammatico

We study a stochastic differential game with $N$ competitive players in a linear-quadratic framework with ergodic cost, where $d$-dimensional diffusion processes govern the state dynamics with an unknown common drift (matrix). Assuming a…

最优化与控制 · 数学 2026-01-30 Asaf Cohen , Ruolan He , Yuqiong Wang

The aim of this paper is to develop a general framework for training neural networks (NNs) in a distributed environment, where training data is partitioned over a set of agents that communicate with each other through a sparse, possibly…

机器学习 · 统计学 2017-04-21 Simone Scardapane , Paolo Di Lorenzo

Regret minimization is a powerful tool for solving large-scale extensive-form games. State-of-the-art methods rely on minimizing regret locally at each decision point. In this work we derive a new framework for regret minimization on…

计算机科学与博弈论 · 计算机科学 2018-09-11 Gabriele Farina , Christian Kroer , Tuomas Sandholm

In this work, we study the task of distributed optimization over a network of learners in which each learner possesses a convex cost function, a set of affine equality constraints, and a set of convex inequality constraints. We propose a…

最优化与控制 · 数学 2015-06-18 Zaid J. Towfic , Ali H. Sayed
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