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Large-scale heterogeneous multiagent systems feature various realistic factors in the real world, such as agents with diverse abilities and overall system cost. In comparison to homogeneous systems, heterogeneous systems offer significant…

Artificial Intelligence · Computer Science 2024-03-28 Qingxu Fu , Zhiqiang Pu , Min Chen , Tenghai Qiu , Jianqiang Yi

In this paper, we study the problem of learning the set of pure strategy Nash equilibria and the exact structure of a continuous-action graphical game with quadratic payoffs by observing a small set of perturbed equilibria. A…

Computer Science and Game Theory · Computer Science 2019-11-12 Adarsh Barik , Jean Honorio

We consider two classes of constrained finite state-action stochastic games. First, we consider a two player nonzero sum single controller constrained stochastic game with both average and discounted cost criterion. We consider the same…

Optimization and Control · Mathematics 2012-06-11 Vikas Vikram Singh , N. Hemachandra

In this paper, we solve the problem of learning a generalized Nash equilibrium (GNE) in merely monotone games. First, we propose a novel continuous semi-decentralized solution algorithm without projections that uses first-order information…

Systems and Control · Electrical Eng. & Systems 2021-10-07 Suad Krilašević , Sergio Grammatico

The multi-cluster games are addressed in this paper, where all players team up with the players in the cluster that they belong to, and compete against the players in other clusters to minimize the cost function of their own cluster. The…

Systems and Control · Electrical Eng. & Systems 2023-06-19 Zhenhua Deng , Yan Zhao

Progress in fields of machine learning and adversarial planning has benefited significantly from benchmark domains, from checkers and the classic UCI data sets to Go and Diplomacy. In sequential decision-making, agent evaluation has largely…

Computer Science and Game Theory · Computer Science 2023-11-02 Marc Lanctot , John Schultz , Neil Burch , Max Olan Smith , Daniel Hennes , Thomas Anthony , Julien Perolat

The probabilistic serial (PS) rule is one of the most prominent randomized rules for the assignment problem. It is well-known for its superior fairness and welfare properties. However, PS is not immune to manipulative behaviour by the…

Computer Science and Game Theory · Computer Science 2014-01-28 Haris Aziz , Serge Gaspers , Nick Mattei , Nina Narodytska , Toby Walsh

Competitive resource allocation between adversarial decision makers arises in a wide spectrum of real-world applications such as in communication systems, cyber-physical systems security, as well as financial, political, and electoral…

Computer Science and Game Theory · Computer Science 2018-03-05 Aidin Ferdowsi , Anibal Sanjab , Walid Saad , Tamer Başar

Policy gradient methods enjoy strong practical performance in numerous tasks in reinforcement learning. Their theoretical understanding in multiagent settings, however, remains limited, especially beyond two-player competitive and potential…

Computer Science and Game Theory · Computer Science 2023-12-22 Ioannis Anagnostides , Ioannis Panageas , Gabriele Farina , Tuomas Sandholm

We consider two player quadratic games in a cooperative framework known as social value orientation, motivated by the need to account for complex interactions between humans and autonomous agents in dynamical systems. Social value…

Optimization and Control · Mathematics 2024-11-14 Dan Calderone , Meeko Oishi

Prediction is a well-studied machine learning task, and prediction algorithms are core ingredients in online products and services. Despite their centrality in the competition between online companies who offer prediction-based products,…

Computer Science and Game Theory · Computer Science 2019-05-08 Omer Ben-Porat , Moshe Tennenholtz

In this paper, we propose a new approach to train deep learning models using game theory concepts including Generative Adversarial Networks (GANs) and Adversarial Training (AT) where we deploy a double-oracle framework using best response…

Machine Learning · Computer Science 2024-10-08 Aye Phyu Phyu Aung , Xinrun Wang , Ruiyu Wang , Hau Chan , Bo An , Xiaoli Li , J. Senthilnath

Self-play alignment has emerged as an effective approach for fine-tuning large language models (LLMs), formulating preference optimization as a two-player game. However, the regularization with respect to the reference policy, which is…

Machine Learning · Computer Science 2025-07-09 Xiaohang Tang , Sangwoong Yoon , Seongho Son , Huizhuo Yuan , Quanquan Gu , Ilija Bogunovic

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…

Optimization and Control · Mathematics 2025-02-10 Junyi Guo , Xia Han , Hao Wang , Kam Chuen Yuen

We consider multi-agent decision making where each agent's cost function depends on all agents' strategies. We propose a distributed algorithm to learn a Nash equilibrium, whereby each agent uses only obtained values of her cost function at…

Multiagent Systems · Computer Science 2019-04-04 Tatiana Tatarenko , Maryam Kamgarpour

Self-play is a technique for machine learning in multi-agent systems where a learning algorithm learns by interacting with copies of itself. Self-play is useful for generating large quantities of data for learning, but has the drawback that…

Computer Science and Game Theory · Computer Science 2023-11-30 Revan MacQueen , James R. Wright

Multi-Agent Reinforcement Learning (MARL) -- where multiple agents learn to interact in a shared dynamic environment -- permeates across a wide range of critical applications. While there has been substantial progress on understanding the…

Computer Science and Game Theory · Computer Science 2022-10-05 Shicong Cen , Yuejie Chi , Simon S. Du , Lin Xiao

Many models from a variety of areas involve the computation of an equilibrium or fixed point of some kind. Examples include Nash equilibria in games; market equilibria; computing optimal strategies and the values of competitive games…

Computational Complexity · Computer Science 2008-02-21 Mihalis Yannakakis

In order for agents in multi-agent systems (MAS) to be safe, they need to take into account the risks posed by the actions of other agents. However, the dominant paradigm in game theory (GT) assumes that agents are not affected by risk from…

Machine Learning · Computer Science 2023-03-03 Oliver Slumbers , David Henry Mguni , Stephen Marcus McAleer , Stefano B. Blumberg , Jun Wang , Yaodong Yang

Multi-agent reinforcement learning (MARL) methods, while effective in zero-sum or positive-sum games, often yield suboptimal outcomes in general-sum games where cooperation is essential for achieving globally optimal outcomes. Matrix game…

Computer Science and Game Theory · Computer Science 2024-08-09 Mustafa Yasir , Andrew Howes , Vasilios Mavroudis , Chris Hicks