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Field theories for complex systems traditionally focus on collective behaviors emerging from simple, reciprocal pairwise interaction rules. However, many natural and artificial systems exhibit behaviors driven by microscopic decision-making…

Soft Condensed Matter · Physics 2025-06-05 Andrea Lama , Mario di Bernardo , Sabine H. L. Klapp

We study a distributed decision-making problem in which multiple agents face the same multi-armed bandit (MAB), and each agent makes sequential choices among arms to maximize its own individual reward. The agents cooperate by sharing their…

Optimization and Control · Mathematics 2020-08-13 Peter Landgren , Vaibhav Srivastava , Naomi Ehrich Leonard

This paper examines the event-triggered consensus of the multi-agent system on matrix-weighted networks, where the interdependencies among higher-dimensional states of neighboring agents are characterized by matrix-weighted edges in the…

Systems and Control · Electrical Eng. & Systems 2022-09-07 Lulu Pan , Haibin Shao , Dewei Li , Lin Liu

We study a non-linear dynamical system on networks inspired by the pitchfork bifurcation normal form. The system has several interesting interpretations: as an interconnection of several pitchfork systems, a gradient dynamical system and…

Dynamical Systems · Mathematics 2021-08-19 Karel Devriendt , Renaud Lambiotte

This paper studies algorithmic decision-making in the presence of strategic individual behaviors, where an ML model is used to make decisions about human agents and the latter can adapt their behavior strategically to improve their future…

Artificial Intelligence · Computer Science 2025-08-22 Tian Xie , Xueru Zhang

The development of renewable energy generation empowers microgrids to generate electricity to supply itself and to trade the surplus on energy markets. To minimize the overall cost, a microgrid must determine how to schedule its energy…

Systems and Control · Electrical Eng. & Systems 2020-07-10 Guanyu Gao , Yonggang Wen , Xiaohu Wu , Ran Wang

Many real world networks, such as social networks, are primarily formed through local interactions between agents. Additionally, in contrast with common network models, social and biological networks exhibit a high degree of clustering.…

Physics and Society · Physics 2015-03-10 Navid Dianati , Nima Dehmamy

Imitation is widely observed in populations of decision-making agents. Using our recent convergence results for asynchronous imitation dynamics on networks, we consider how such networks can be efficiently driven to a desired equilibrium…

Computer Science and Game Theory · Computer Science 2017-04-17 James Riehl , Pouria Ramazi , Ming Cao

Fuelled by a desire for greater connectivity, networked systems now pervade our society at an unprecedented level that will affect it in ways we do not yet understand. In contrast, nature has already developed efficient networks that can…

Social and Information Networks · Computer Science 2019-10-08 Ruaridh Clark , Giuliano Punzo , Malcolm Macdonald

Global coordination is required to solve a wide variety of challenging collective action problems from network colorings to the tragedy of the commons. Recent empirical study shows that the presence of a few noisy autonomous agents can…

Physics and Society · Physics 2024-06-14 Matthew I. Jones , Scott D. Pauls , Feng Fu

We investigate the benefits of heterogeneity in multi-agent explore-exploit decision making where the goal of the agents is to maximize cumulative group reward. To do so we study a class of distributed stochastic bandit problems in which…

Optimization and Control · Mathematics 2020-12-03 Udari Madhushani , Naomi Leonard

When humans are subject to an algorithmic decision system, they can strategically adjust their behavior accordingly (``game'' the system). While a growing line of literature on strategic classification has used game-theoretic modeling to…

Machine Learning · Computer Science 2024-10-28 Raman Ebrahimi , Kristen Vaccaro , Parinaz Naghizadeh

Controlling multi-agent systems is a persistent challenge in organismal, robotic and social collectives, especially when agents exhibit stochastic indecisiveness -- frequently switching between conflicting behavioral rules. Here, we…

Physics and Society · Physics 2025-05-01 Tuhin Chakrabortty , Saad Bhamla

We develop a discrete-time version of the blended dynamics theorem for the use of designing distributed computation algorithms. The blended dynamics theorem enables to predict the behavior of heterogeneous multi-agent systems. Therefore,…

Systems and Control · Electrical Eng. & Systems 2023-12-01 Jeong Woo Kim , Jin Gyu Lee , Donggil Lee , Hyungbo Shim

This paper explores the application of Hamilton's rule to altruistic decision-making in multi-agent systems. Inspired by biological altruism, we introduce a framework that evaluates when individual agents should incur costs to benefit their…

Multiagent Systems · Computer Science 2025-05-16 Brooks A. Butler , Magnus Egerstedt

We study binary opinion dynamics in a fully connected network of interacting agents. The agents are assumed to interact according to one of the following rules: (1) Voter rule: An updating agent simply copies the opinion of another randomly…

Probability · Mathematics 2022-03-04 Arpan Mukhopadhyay , Ravi R. Mazumdar , Rahul Roy

Distributed diffusion is a powerful algorithm for multi-task state estimation which enables networked agents to interact with neighbors to process input data and diffuse information across the network. Compared to a centralized approach,…

Multiagent Systems · Computer Science 2020-03-27 Jiani Li , Xenofon Koutsoukos

We present the MagNet, a neural network-based multi-agent interaction model to discover the governing dynamics and predict evolution of a complex multi-agent system from observations. We formulate a multi-agent system as a coupled…

Machine Learning · Computer Science 2020-10-01 Priyabrata Saha , Arslan Ali , Burhan A. Mudassar , Yun Long , Saibal Mukhopadhyay

This paper introduces Multi-Agent MDP Homomorphic Networks, a class of networks that allows distributed execution using only local information, yet is able to share experience between global symmetries in the joint state-action space of…

Machine Learning · Computer Science 2022-05-02 Elise van der Pol , Herke van Hoof , Frans A. Oliehoek , Max Welling

A distributed adaptive control strategy is developed for heterogeneous multiagent systems in nonlinear Brunovsky form with \({\pd}\)-dimensional $n^{\text{th}}$-order dynamics, operating under time-triggered switching communication…

Systems and Control · Electrical Eng. & Systems 2025-09-10 Armel Koulong , Ali Pakniyat