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In this work, we investigate the problem of simultaneously learning and controlling a system subject to adversarial choices of disturbances and system parameters. We study the problem for a scalar system with $l_\infty$-norm bounded…

Optimization and Control · Mathematics 2018-12-31 Dimitar Ho , Nikolai Matni , John C. Doyle

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 paper addresses mechanisms for boundedly rational decision makers in discrete choice problem. First, we introduce two mathematical models of population dynamics with conformity biases. We next analyze the models in terms of…

Systems and Control · Electrical Eng. & Systems 2021-11-23 Shunya Yamashita , Kodai Irifune , Takeshi Hatanaka , Yasuaki Wasa , Kenji Hirata , Kenko Uchida

We report on new stability conditions for evolutionary dynamics in the context of population games. We adhere to the prevailing framework consisting of many agents, grouped into populations, that interact noncooperatively by selecting…

Populations and Evolution · Quantitative Biology 2021-07-08 Semih Kara , Nuno C. Martins

We consider a large population of learning agents noncooperatively selecting strategies from a common set, influencing the dynamics of an exogenous system (ES) we seek to stabilize at a desired equilibrium. Our approach is to design a…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Jair Certório , Nuno C. Martins , Richard J. La , Murat Arcak

This tutorial article puts forth a framework to analyze the noncooperative strategic interactions among the members of a large population of bounded rationality agents. Our approach hinges on, unifies and generalizes existing methods and…

Optimization and Control · Mathematics 2020-07-15 Shinkyu Park , Nuno C. Martins , Jeff S. Shamma

In this work, our goal is to train agents that can coordinate with seen, unseen as well as human partners in a multi-agent communication environment involving natural language. Previous work using a single set of agents has shown great…

Machine Learning · Computer Science 2022-10-25 Abhinav Gupta , Marc Lanctot , Angeliki Lazaridou

We consider long-lived agents who interact repeatedly in a social network. In each period, each agent learns about an unknown state by observing a private signal and her neighbors' actions from the previous period before choosing her own…

Theoretical Economics · Economics 2025-08-19 Florian Brandl

Cooperation plays a key role in the evolution of complex systems. However, the level of cooperation extensively varies with the topology of agent networks in the widely used models of repeated games. Here we show that cooperation remains…

Molecular Networks · Quantitative Biology 2012-03-01 Shijun Wang , Mate S. Szalay , Changshui Zhang , Peter Csermely

Learning in multi-agent environments is difficult due to the non-stationarity introduced by an opponent's or partner's changing behaviors. Instead of reactively adapting to the other agent's (opponent or partner) behavior, we propose an…

Robotics · Computer Science 2021-10-18 Woodrow Z. Wang , Andy Shih , Annie Xie , Dorsa Sadigh

Learning to act from observational data without active environmental interaction is a well-known challenge in Reinforcement Learning (RL). Recent approaches involve constraints on the learned policy or conservative updates, preventing…

Machine Learning · Computer Science 2021-10-28 Georg Ostrovski , Pablo Samuel Castro , Will Dabney

Fully cooperative multiagent systems - those in which agents share a joint utility model- is of special interest in AI. A key problem is that of ensuring that the actions of individual agents are coordinated, especially in settings where…

Computer Science and Game Theory · Computer Science 2013-02-18 Craig Boutilier

This paper studies the stability and convergence properties of a class of multi-agent concurrent learning (CL) algorithms with momentum and restart. Such algorithms can be integrated as part of the estimation pipelines of data-enabled…

Optimization and Control · Mathematics 2024-06-24 Daniel E. Ochoa , Muhammad U. Javed , Xudong Chen , Jorge I. Poveda

In this work and the supporting Parts II [2] and III [3], we provide a rather detailed analysis of the stability and performance of asynchronous strategies for solving distributed optimization and adaptation problems over networks. We…

Systems and Control · Computer Science 2014-12-17 Xiaochuan Zhao , Ali H. Sayed

When learning behavior, training data is often generated by the learner itself; this can result in unstable training dynamics, and this problem has particularly important applications in safety-sensitive real-world control tasks such as…

Machine Learning · Computer Science 2019-10-10 Vibhavari Dasagi , Jake Bruce , Thierry Peynot , Jürgen Leitner

We study the process of multi-agent reinforcement learning in the context of load balancing in a distributed system, without use of either central coordination or explicit communication. We first define a precise framework in which to study…

Artificial Intelligence · Computer Science 2014-11-17 A. Schaerf , Y. Shoham , M. Tennenholtz

The behaviour of multi-agent learning in competitive network games is often studied within the context of zero-sum games, in which convergence guarantees may be obtained. However, outside of this class the behaviour of learning is known to…

Computer Science and Game Theory · Computer Science 2023-12-20 Aamal Hussain , Francesco Belardinelli

Models play an essential role in the design process of cyber-physical systems. They form the basis for simulation and analysis and help in identifying design problems as early as possible. However, the construction of models that comprise…

We introduce robust learning equilibrium. The idea of learning equilibrium is that learning algorithms in multi-agent systems should themselves be in equilibrium rather than only lead to equilibrium. That is, learning equilibrium is immune…

Computer Science and Game Theory · Computer Science 2012-07-02 Itai Ashlagi , Dov Monderer , Moshe Tennenholtz

Beyond specific settings, many multi-agent learning algorithms fail to converge to an equilibrium solution, instead displaying complex, non-stationary behaviours such as recurrent or chaotic orbits. In fact, recent literature suggests that…

Multiagent Systems · Computer Science 2026-02-12 Dan Leonte , Aamal Hussain , Raphael Huser , Francesco Belardinelli , Dario Paccagnan
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