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Many real-world domains contain multiple agents behaving strategically with probabilistic transitions and uncertain (potentially infinite) duration. Such settings can be modeled as stochastic games. While algorithms have been developed for…

计算机科学与博弈论 · 计算机科学 2020-06-25 Sam Ganzfried , Conner Laughlin , Charles Morefield

In game theory, the concept of Nash equilibrium reflects the collective stability of some individual strategies chosen by selfish agents. The concept pertains to different classes of games, e.g. the sequential games, where the agents play…

逻辑 · 数学 2015-07-01 Stephane Le Roux

Computing Nash equilibrium policies is a central problem in multi-agent reinforcement learning that has received extensive attention both in theory and in practice. However, provable guarantees have been thus far either limited to fully…

We develop a scheme based on active learning to compute equilibria in a generalized Nash equilibrium problem (GNEP). Specifically, an external observer (or entity), with little knowledge on the multi-agent process at hand, collects sensible…

最优化与控制 · 数学 2025-05-08 Barbara Franci , Filippo Fabiani , Alberto Bemporad

To achieve an optimal outcome in many situations, agents need to choose distinct actions from one another. This is the case notably in many resource allocation problems, where a single resource can only be used by one agent at a time. How…

计算机科学与博弈论 · 计算机科学 2014-02-05 Ludek Cigler , Boi Faltings

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

In the study of reactive systems, qualitative properties are usually easier to model and analyze than quantitative properties. This is especially true in systems where mutually beneficial cooperation between agents is possible, such as…

计算机科学与博弈论 · 计算机科学 2023-05-18 Senthil Rajasekaran , Suguman Bansal , Moshe Y. Vardi

We study the quality of outcomes in repeated games when the population of players is dynamically changing and participants use learning algorithms to adapt to the changing environment. Game theory classically considers Nash equilibria of…

计算机科学与博弈论 · 计算机科学 2020-05-25 Thodoris Lykouris , Vasilis Syrgkanis , Eva Tardos

We study infinite-horizon discounted two-player zero-sum Markov games, and develop a decentralized algorithm that provably converges to the set of Nash equilibria under self-play. Our algorithm is based on running an Optimistic Gradient…

机器学习 · 计算机科学 2021-07-08 Chen-Yu Wei , Chung-Wei Lee , Mengxiao Zhang , Haipeng Luo

Adversarial training is a standard technique for training adversarially robust models. In this paper, we study adversarial training as an alternating best-response strategy in a 2-player zero-sum game. We prove that even in a simple…

机器学习 · 计算机科学 2023-03-01 Maria-Florina Balcan , Rattana Pukdee , Pradeep Ravikumar , Hongyang Zhang

We address the challenge of designing optimal adversarial noise algorithms for settings where a learner has access to multiple classifiers. We demonstrate how this problem can be framed as finding strategies at equilibrium in a two-player,…

机器学习 · 计算机科学 2019-06-10 Juan C. Perdomo , Yaron Singer

In this paper, we propose a passivity-based methodology for analysis and design of reinforcement learning in multi-agent finite games. Starting from a known exponentially-discounted reinforcement learning scheme, we show that convergence to…

最优化与控制 · 数学 2024-10-30 Bolin Gao , Lacra Pavel

We consider payoff-based learning of a generalized Nash equilibrium (GNE) in multi-agent systems. Our focus is on games with jointly convex constraints of a linear structure and strongly monotone pseudo-gradients. We present a convergent…

最优化与控制 · 数学 2025-07-18 Tatiana Tatarenko , Maryam Kamgarpour

Consider a set of agents who play a network game repeatedly. Agents may not know the network. They may even be unaware that they are interacting with other agents in a network. Possibly, they just understand that their payoffs depend on an…

理论经济学 · 经济学 2022-07-26 Pierpaolo Battigalli , Fabrizio Panebianco , Paolo Pin

As autonomous AI agents increasingly mediate online platform markets, a fundamental question emerges: do these markets generate stable strategic outcomes? In repeated strategic environments, the Nash equilibrium provides a natural benchmark…

人工智能 · 计算机科学 2026-04-28 Enoch Hyunwook Kang

This paper studies multi-agent reinforcement learning in Markov games, with the goal of learning Nash equilibria or coarse correlated equilibria (CCE) sample-optimally. All prior results suffer from at least one of the two obstacles: the…

机器学习 · 计算机科学 2022-10-13 Gen Li , Yuejie Chi , Yuting Wei , Yuxin Chen

A growing number of learning methods are actually differentiable games whose players optimise multiple, interdependent objectives in parallel -- from GANs and intrinsic curiosity to multi-agent RL. Opponent shaping is a powerful approach to…

多智能体系统 · 计算机科学 2021-01-19 Alistair Letcher , Jakob Foerster , David Balduzzi , Tim Rocktäschel , Shimon Whiteson

Zero-sum games arise in a wide variety of problems, including robust optimization and adversarial learning. However, algorithms deployed for finding a local Nash equilibrium in these games often converge to non-Nash stationary points. This…

计算机科学与博弈论 · 计算机科学 2025-09-30 Kushagra Gupta , Xinjie Liu , Ross Allen , Ufuk Topcu , David Fridovich-Keil

This paper studies the optimization of strategies in the context of possibly randomized two players zero-sum games with incomplete information. We compare 5 algorithms for tuning the parameters of strategies over a benchmark of 12 games. A…

计算机科学与博弈论 · 计算机科学 2018-07-06 Marie-Liesse Cauwet , Olivier Teytaud

We consider a subclass of $n$-player stochastic games, in which players have their own internal state/action spaces while they are coupled through their payoff functions. It is assumed that players' internal chains are driven by independent…

机器学习 · 计算机科学 2023-03-23 S. Rasoul Etesami