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Repeated games consider a situation where multiple agents are motivated by their independent rewards throughout learning. In general, the dynamics of their learning become complex. Especially when their rewards compete with each other like…

Computer Science and Game Theory · Computer Science 2023-05-23 Yuma Fujimoto , Kaito Ariu , Kenshi Abe

We consider the model of cooperative learning via distributed non-Bayesian learning, where a network of agents tries to jointly agree on a hypothesis that best described a sequence of locally available observations. Building upon recently…

Optimization and Control · Mathematics 2020-10-21 Eduardo Mojica-Nava , David Yanguas-Rojas , César A. Uribe

The note considers the problem of computing pure Nash equilibrium (NE) strategies in distributed (i.e., network-based) settings. The paper studies a class of inertial best response dynamics based on the fictitious play (FP) algorithm. It is…

Systems and Control · Computer Science 2018-04-04 Brian Swenson , Ceyhun Eksin , Soummya Kar , Alejandro Ribeiro

This work develops effective distributed strategies for the solution of constrained multi-agent stochastic optimization problems with coupled parameters across the agents. In this formulation, each agent is influenced by only a subset of…

Optimization and Control · Mathematics 2019-03-15 Sulaiman A. Alghunaim , Ali H. Sayed

We consider the problem of learning Nash equilibrial policies for two-player risk-sensitive collision-avoiding interactions. Solving the Hamilton-Jacobi-Isaacs equations of such general-sum differential games in real time is an open…

Robotics · Computer Science 2025-03-21 Lei Zhang , Siddharth Das , Tanner Merry , Wenlong Zhang , Yi Ren

In this work, we propose a robust approach to design distributed controllers for unknown-but-sparse linear and time-invariant systems. By leveraging modern techniques in distributed controller synthesis and structured linear inverse…

Optimization and Control · Mathematics 2019-10-14 Salar Fattahi , Nikolai Matni , Somayeh Sojoudi

We address the generalized Nash equilibrium seeking problem for a population of agents playing aggregative games with affine coupling constraints. We focus on semi-decentralized communication architectures, where there is a central…

Optimization and Control · Mathematics 2022-06-16 Giuseppe Belgioioso , Sergio Grammatico

We study the problem of achieving decentralized coordination by a group of strategic decision makers choosing to engage or not in a task in a stochastic setting. First, we define a class of symmetric utility games that encompass a broad…

Systems and Control · Electrical Eng. & Systems 2023-04-05 Marcos M. Vasconcelos , Behrouz Touri

The convergence properties of learning dynamics in repeated auctions is a timely and important question, with numerous applications in, e.g., online advertising markets. This work focuses on repeated first-price auctions where bidders with…

Computer Science and Game Theory · Computer Science 2025-08-21 Xiaotie Deng , Xinyan Hu , Tao Lin , Weiqiang Zheng

Learning in zero-sum games studies a situation where multiple agents competitively learn their strategy. In such multi-agent learning, we often see that the strategies cycle around their optimum, i.e., Nash equilibrium. When a game…

Computer Science and Game Theory · Computer Science 2025-03-06 Yuma Fujimoto , Kaito Ariu , Kenshi Abe

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

In this work, we develop a reward design framework for installing a desired behavior as a strict equilibrium across standard solution concepts: dominant strategy equilibrium, Nash equilibrium, correlated equilibrium, and coarse correlated…

Computer Science and Game Theory · Computer Science 2025-03-06 Jeremy McMahan , Young Wu , Yudong Chen , Xiaojin Zhu , Qiaomin Xie

This paper introduces an equilibrium framework based on sequential sampling in which players face strategic uncertainty over their opponents' behavior and acquire informative signals to resolve it. Sequential sampling equilibrium delivers a…

Theoretical Economics · Economics 2023-11-03 Duarte Gonçalves

We propose a novel framework for analyzing the dynamics of distribution shift in real-world systems that captures the feedback loop between learning algorithms and the distributions on which they are deployed. Prior work largely models…

Machine Learning · Computer Science 2023-10-31 Lauren Conger , Franca Hoffmann , Eric Mazumdar , Lillian Ratliff

Classical consensus-based strategies for federated and decentralized learning are statistically suboptimal in the presence of heterogeneous local data or task distributions. As a result, in recent years, there has been growing interest in…

Machine Learning · Computer Science 2025-10-14 Zirui Wan , Stefan Vlaski

While in two-player zero-sum games the Nash equilibrium is a well-established prescriptive notion of optimal play, its applicability as a prescriptive tool beyond that setting is limited. Consequently, the study of decentralized learning…

Computer Science and Game Theory · Computer Science 2021-09-17 Gabriele Farina , Andrea Celli , Tuomas Sandholm

The growing number of wireless edge devices has magnified challenges concerning energy, bandwidth, latency, and data heterogeneity. These challenges have become bottlenecks for distributed learning. To address these issues, this paper…

Machine Learning · Computer Science 2023-12-25 Mohamed Badi , Chaouki Ben Issaid , Anis Elgabli , Mehdi Bennis

Recent progress in Learning by Reading and Machine Reading systems has significantly increased the capacity of knowledge-based systems to learn new facts. In this work, we discuss the problem of selecting a set of learning requests for…

Artificial Intelligence · Computer Science 2025-02-18 Abhishek Sharma

We consider a large class of social learning models in which a group of agents face uncertainty regarding a state of the world, share the same utility function, observe private signals, and interact in a general dynamic setting. We…

Statistics Theory · Mathematics 2020-05-14 Elchanan Mossel , Manuel Mueller-Frank , Allan Sly , Omer Tamuz

This work studies the distributed learning process on a network of agents. Agents make partial observation about an unknown hypothesis and iteratively share their beliefs over a set of possible hypotheses with their neighbors to learn the…

Systems and Control · Electrical Eng. & Systems 2024-11-19 P Raghavendra Rao , Pooja Vyavahare
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