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We analyze independent policy-gradient (PG) learning in $N$-player linear-quadratic (LQ) stochastic differential games. Each player employs a distributed policy that depends only on its own state and updates the policy independently using…

最优化与控制 · 数学 2026-02-19 Philipp Plank , Yufei Zhang

In multi-agent problems requiring a high degree of cooperation, success often depends on the ability of the agents to adapt to each other's behavior. A natural solution concept in such settings is the Stackelberg equilibrium, in which the…

机器学习 · 计算机科学 2024-06-14 Robert Loftin , Mustafa Mert Çelikok , Herke van Hoof , Samuel Kaski , Frans A. Oliehoek

Recent studies in the spatial prisoner's dilemma games with reinforcement learning have shown that static agents can learn to cooperate through a diverse sort of mechanisms, including noise injection, different types of learning algorithms…

人工智能 · 计算机科学 2025-07-08 Gustavo C. Mangold , Heitor C. M. Fernandes , Mendeli H. Vainstein

In this paper, we consider multi-agent learning via online gradient descent in a class of games called $\lambda$-cocoercive games, a fairly broad class of games that admits many Nash equilibria and that properly includes unconstrained…

最优化与控制 · 数学 2021-07-20 Tianyi Lin , Zhengyuan Zhou , Panayotis Mertikopoulos , Michael I. Jordan

We focus on reducing communication overhead in multiplayer games, where frequently exchanging strategies between players is not feasible and players have noisy or outdated strategies of the other players. We introduce Decoupled SGDA, a…

机器学习 · 计算机科学 2025-06-30 Ali Zindari , Parham Yazdkhasti , Anton Rodomanov , Tatjana Chavdarova , Sebastian U. Stich

Reinforcement Learning (RL) algorithms have led to recent successes in solving complex games, such as Atari or Starcraft, and to a huge impact in real-world applications, such as cybersecurity or autonomous driving. In the side of the…

机器学习 · 计算机科学 2021-02-15 Rubén Majadas , Javier García , Fernando Fernández

The behaviour of multi-agent learning in competitive settings is often considered under the restrictive assumption of a zero-sum game. Only under this strict requirement is the behaviour of learning well understood; beyond this, learning…

计算机科学与博弈论 · 计算机科学 2023-07-27 Aamal Hussain , Francesco Belardinelli , Georgios Piliouras

Existing settings of decentralized learning either require players to have full information or the system to have certain special structure that may be hard to check and hinder their applicability to practical systems. To overcome this, we…

系统与控制 · 电气工程与系统科学 2023-05-17 Yan Jiang , Wenqi Cui , Baosen Zhang , Jorge Cortés

Achieving convergence of multiple learning agents in general $N$-player games is imperative for the development of safe and reliable machine learning (ML) algorithms and their application to autonomous systems. Yet it is known that, outside…

计算机科学与博弈论 · 计算机科学 2023-01-24 Aamal Abbas Hussain , Francesco Belardinelli , Georgios Piliouras

In decision-dependent games, multiple players optimize their decisions under a data distribution that shifts with their joint actions, creating complex dynamics in applications like market pricing. A practical consequence of these dynamics…

计算机科学与博弈论 · 计算机科学 2025-09-04 Guangzheng Zhong , Yang Liu , Jiming Liu

Reinforcement-based learning dynamics may exhibit several limitations when applied in a distributed setup. In (repeatedly-played) multi-player/action strategic-form games, and when each player applies an independent copy of the learning…

计算机科学与博弈论 · 计算机科学 2025-11-25 Georgios C. Chasparis

The cornerstone underpinning deep learning is the guarantee that gradient descent on an objective converges to local minima. Unfortunately, this guarantee fails in settings, such as generative adversarial nets, where there are multiple…

机器学习 · 计算机科学 2018-06-07 David Balduzzi , Sebastien Racaniere , James Martens , Jakob Foerster , Karl Tuyls , Thore Graepel

Stochastic dynamic teams and games are rich models for decentralized systems and challenging testing grounds for multi-agent learning. Previous work that guaranteed team optimality assumed stateless dynamics, or an explicit coordination…

最优化与控制 · 数学 2024-03-28 Bora Yongacoglu , Gürdal Arslan , Serdar Yüksel

In this paper, we consider game problems played by (multi)-integrator agents, subject to external disturbances. We propose Nash equilibrium seeking dynamics based on gradient-play, augmented with a dynamic internal-model based component,…

最优化与控制 · 数学 2020-04-10 Andrew R Romano , Lacra Pavel

We establish the existence and uniqueness of distributed equilibria to possibly nonsymmetric $N$ player differential games with interactions through controls under displacement semimonotonicity assumptions. Surprisingly, the nonseparable…

偏微分方程分析 · 数学 2026-04-01 Hei Jie Lam , Alpár R. Mészáros

In reinforcement learning, agents learn by performing actions and observing their outcomes. Sometimes, it is desirable for a human operator to \textit{interrupt} an agent in order to prevent dangerous situations from happening. Yet, as part…

人工智能 · 计算机科学 2017-05-23 El Mahdi El Mhamdi , Rachid Guerraoui , Hadrien Hendrikx , Alexandre Maurer

Independent learners are agents that employ single-agent algorithms in multi-agent systems, intentionally ignoring the effect of other strategic agents. This paper studies mean-field games from a decentralized learning perspective, with two…

计算机科学与博弈论 · 计算机科学 2025-02-04 Bora Yongacoglu , Gürdal Arslan , Serdar Yüksel

We study strategic interaction in data-driven games where players face uncertainty about payoff distributions inferred from finite samples. To model calibrated attitudes toward such uncertainty, we formulate distributionally robust games…

计算机科学与博弈论 · 计算机科学 2026-05-28 Bharat Gangwani , Arunesh Sinha

Multi-agent games in dynamic nonlinear settings are challenging due to the time-varying interactions among the agents and the non-stationarity of the (potential) Nash equilibria. In this paper we consider model-free games, where agent…

系统与控制 · 电气工程与系统科学 2025-09-24 Eduardo Sebastián , Maitrayee Keskar , Eeman Iqbal , Eduardo Montijano , Carlos Sagüés , Nikolay Atanasov

Dynamics in a distributed system are self-stabilizing if they are guaranteed to reach a stable state regardless of how the system is initialized. Game dynamics are uncoupled if each player's behavior is independent of the other players'…

计算机科学与博弈论 · 计算机科学 2014-05-07 Aaron D. Jaggard , Neil Lutz , Michael Schapira , Rebecca N. Wright