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We consider a class of two-player dynamic stochastic nonzero-sum games where the state transition and observation equations are linear, and the primitive random variables are Gaussian. Each controller acquires possibly different dynamic…

系统与控制 · 计算机科学 2014-01-21 Abhishek Gupta , Ashutosh Nayyar , Cedric Langbort , Tamer Basar

We build on the recently proposed EigenGame that views eigendecomposition as a competitive game. EigenGame's updates are biased if computed using minibatches of data, which hinders convergence and more sophisticated parallelism in the…

机器学习 · 统计学 2022-03-23 Ian Gemp , Brian McWilliams , Claire Vernade , Thore Graepel

Two-player games on graphs provide the theoretical frame- work for many important problems such as reactive synthesis. While the traditional study of two-player zero-sum games has been extended to multi-player games with several notions of…

计算机科学与博弈论 · 计算机科学 2013-11-14 Krishnendu Chatterjee , Laurent Doyen , Emmanuel Filiot , Jean-François Raskin

In this work, we adapt a training approach inspired by the original AlphaGo system to play the imperfect information game of Reconnaissance Blind Chess. Using only the observations instead of a full description of the game state, we first…

人工智能 · 计算机科学 2022-08-04 Timo Bertram , Johannes Fürnkranz , Martin Müller

In the literature on game-theoretic equilibrium finding, focus has mainly been on solving a single game in isolation. In practice, however, strategic interactions -- ranging from routing problems to online advertising auctions -- evolve…

计算机科学与博弈论 · 计算机科学 2023-03-02 Keegan Harris , Ioannis Anagnostides , Gabriele Farina , Mikhail Khodak , Zhiwei Steven Wu , Tuomas Sandholm

This paper introduces an information-theoretic method for selecting a subset of problems which gives the most information about a group of problem-solving algorithms. This method was tested on the games in the General Video Game AI (GVGAI)…

This work studies non-cooperative Multi-Agent Reinforcement Learning (MARL) where multiple agents interact in the same environment and whose goal is to maximize the individual returns. Challenges arise when scaling up the number of agents…

人工智能 · 计算机科学 2023-04-14 Talal Algumaei , Ruben Solozabal , Reda Alami , Hakim Hacid , Merouane Debbah , Martin Takac

Exploration remains a key challenge in deep reinforcement learning (RL). Optimism in the face of uncertainty is a well-known heuristic with theoretical guarantees in the tabular setting, but how best to translate the principle to deep…

机器学习 · 计算机科学 2023-06-06 Brendan O'Donoghue

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

This paper investigates the problem of computing the equilibrium of competitive games, which is often modeled as a constrained saddle-point optimization problem with probability simplex constraints. Despite recent efforts in understanding…

最优化与控制 · 数学 2023-01-23 Shicong Cen , Yuting Wei , Yuejie Chi

We study a model of games that combines concurrency, imperfect information and stochastic aspects. Those are finite states games in which, at each round, the two players choose, simultaneously and independently, an action. Then a successor…

形式语言与自动机理论 · 计算机科学 2011-08-31 Vincent Gripon , Olivier Serre

Despite advancements in deep reinforcement learning algorithms, developing an effective exploration strategy is still an open problem. Most existing exploration strategies either are based on simple heuristics, or require the model of the…

机器学习 · 计算机科学 2021-02-11 Arash Mahyari

This paper studies cooperative control of noncooperative double-integrator multi-agent systems (MASs) with input delay on connected directed graphs in the context of a differential graphical game (DGG). In the distributed DGG, each agent…

系统与控制 · 电气工程与系统科学 2024-03-04 Hossein B. Jond

This paper resolves the open question of designing near-optimal algorithms for learning imperfect-information extensive-form games from bandit feedback. We present the first line of algorithms that require only…

机器学习 · 计算机科学 2023-04-04 Yu Bai , Chi Jin , Song Mei , Tiancheng Yu

Decision making in modern large-scale and complex systems such as communication networks, smart electricity grids, and cyber-physical systems motivate novel game-theoretic approaches. This paper investigates big strategic (non-cooperative)…

计算机科学与博弈论 · 计算机科学 2016-09-22 Tansu Alpcan , Benjamin I. P. Rubinstein , Christopher Leckie

In this paper, we extend the Descent framework, which enables learning and planning in the context of two-player games with perfect information, to the framework of stochastic games. We propose two ways of doing this, the first way…

人工智能 · 计算机科学 2023-02-10 Quentin Cohen-Solal , Tristan Cazenave

In this paper, we investigate a class of nonzero-sum dynamic stochastic games, where players have linear dynamics and quadratic cost functions. The players are coupled in both dynamics and cost through a linear regression (weighted average)…

最优化与控制 · 数学 2020-10-20 Jalal Arabneydi , Amir G. Aghdam , Roland P. Malhamé

Constrained Markov games offer a formal mathematical framework for modeling multi-agent reinforcement learning problems where the behavior of the agents is subject to constraints. In this work, we focus on the recently introduced class of…

机器学习 · 计算机科学 2024-02-29 Philip Jordan , Anas Barakat , Niao He

Zero-sum games have long guided artificial intelligence research, since they possess both a rich strategy space of best-responses and a clear evaluation metric. What's more, competition is a vital mechanism in many real-world multi-agent…

计算机科学与博弈论 · 计算机科学 2020-03-03 Edward Hughes , Thomas W. Anthony , Tom Eccles , Joel Z. Leibo , David Balduzzi , Yoram Bachrach

We study decentralized policy learning in Markov games where we control a single agent to play with nonstationary and possibly adversarial opponents. Our goal is to develop a no-regret online learning algorithm that (i) takes actions based…

机器学习 · 计算机科学 2022-06-06 Wenhao Zhan , Jason D. Lee , Zhuoran Yang