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Starting with a group of reinforcement-learning agents we derive coupled replicator equations that describe the dynamics of collective learning in multiagent systems. We show that, although agents model their environment in a…

Adaptation and Self-Organizing Systems · Physics 2009-11-07 Yuzuru Sato , James P. Crutchfield

We define and analyze a multi-agent multi-armed bandit problem in which decision-making agents can observe the choices and rewards of their neighbors. Neighbors are defined by a network graph with heterogeneous and stochastic…

Optimization and Control · Mathematics 2019-05-22 Udari Madhushani , Naomi Ehrich Leonard

This paper presents a novel distributed robust optimization scheme for steering distributions of multi-agent systems under stochastic and deterministic uncertainty. Robust optimization is a subfield of optimization which aims to discover an…

Robotics · Computer Science 2025-01-31 Arshiya Taj Abdul , Augustinos D. Saravanos , Evangelos A. Theodorou

We study a simple but compelling model of $n$ interacting agents via time-dependent, unidirectional communication. The model finds wide application in a variety of fields including synchronization, swarming and distributed decision making.…

Optimization and Control · Mathematics 2007-05-23 Luc Moreau

In recent years, a significant research effort has been devoted to the design of distributed protocols for the control of multi-agent systems, as the scale and limited communication bandwidth characteristic of such systems render…

Multiagent Systems · Computer Science 2021-06-09 Rohit Konda , Rahul Chandan , Jason R. Marden

In a social group its members are caled here agents. Any two agents from the group may interact. The interaction consists of the exchange of information and it costs some energy. There exist subgroups of interacting agents which are…

Statistical Mechanics · Physics 2021-08-19 Ondrej Hudak , Jana Tothova

This paper studies a consensus problem in multidimensional networks having the same agent-to-agent interaction pattern under both intra- and cross-layer time delays. Several conditions for the agents to asymptotically reach a consensus are…

Systems and Control · Electrical Eng. & Systems 2025-07-01 Hoang Huy Vu , Quyen Ngoc Nguyen , Tuynh Van Pham , Chuong Van Nguyen , Minh Hoang Trinh

This paper investigates agreement protocols over cooperative and cooperative--antagonistic multi-agent networks with coupled continuous-time nonlinear dynamics. To guarantee convergence for such systems, it is common in the literature to…

Multiagent Systems · Computer Science 2015-08-06 Ziyang Meng , Guodong Shi , Karl Henrik Johansson

In this report I present a possible scenario which can lead to the emergence of a generalised Gamma distribution first presented by R. Osorio et al. as the distribution of traded volumes of stocks in financial markets. This propose is…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Silvio M. Duarte Queiros

For a two-dimensional system of agents modeled by molecular dynamics, we simulate epidemics spreading, which was recently studied on complex networks. Our resulting network model is time-evolving. We study the transitions to spreading as…

Statistical Mechanics · Physics 2009-11-10 M. C. Gonzalez , H. J. Herrmann

The goal of this paper is to provide a survey and application-focused atlas of collective behavior coordination algorithms for multi-agent systems. We survey the general family of collective behavior algorithms for multi-agent systems and…

Multiagent Systems · Computer Science 2021-03-23 Federico Rossi , Saptarshi Bandyopadhyay , Michael T. Wolf , Marco Pavone

A statistical treatment of finite unbound systems in the presence of collective motions is presented and applied to a classical Lennard-Jones Hamiltonian, numerically simulated through molecular dynamics. In the ideal gas limit, the flow…

Statistical Mechanics · Physics 2008-02-01 M. J. Ison , F. Gulminelli , C. Dorso

This paper addresses the problem of positive consensus of directed multi-agent systems with observer-type output-feedback protocols. More specifically, directed graph is used to model the communication topology of the multi-agent system and…

Optimization and Control · Mathematics 2020-09-02 Nachuan Yang , Yonghua Yin , Jinrong Liu

This paper makes the first attempt to show how information exchange rules represented by a network having multiple layers (multiplex information networks) can be designed for enabling spatially evolving multiagent formations. Toward this…

Optimization and Control · Mathematics 2015-07-21 Dzung Tran , Tansel Yucelen

Demand outstrips available resources in most situations, which gives rise to competition, interaction and learning. In this article, we review a broad spectrum of multi-agent models of competition (El Farol Bar problem, Minority Game,…

The susceptible-infected-susceptible (SIS) agent-based model is usually employed in the investigation of epidemics. The model describes a Markov process for a single communicable disease among susceptible (S) and infected (I) agents.…

Physics and Society · Physics 2016-09-28 Gilberto M. Nakamura , Alexandre S. Martinez

The problem of multi-agent learning and adaptation has attracted a great deal of attention in recent years. It has been suggested that the dynamics of multi agent learning can be studied using replicator equations from population biology.…

Machine Learning · Computer Science 2011-09-26 Aram Galstyan

Human dynamics and sociophysics suggest statistical models that may explain and provide us with better insight into social phenomena. Here we tackle the problem of determining the distribution of the population density of a social space…

Physics and Society · Physics 2020-02-18 Mark Levene , Trevor Fenner

We consider a probabilistic model for large-scale task allocation problems for multi-agent systems, aiming to determine an optimal deployment strategy that minimizes the overall transport cost. Specifically, we assign transportation agents…

Systems and Control · Electrical Eng. & Systems 2025-03-13 Anqi Dong , Karl H. Johansson , Johan Karlsson

In multiagent systems autonomous agents interact with each other to achieve individual and collective goals. Typical interactions concern negotiation and agreement on resource exchanges. Modeling and formalizing these agreements pose…

Logic in Computer Science · Computer Science 2024-08-20 Lorenzo Ceragioli , Pierpaolo Degano , Letterio Galletta , Luca Viganò