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While multi-agent interactions can be naturally modeled as a graph, the environment has traditionally been considered as a black box. We propose to create a shared agent-entity graph, where agents and environmental entities form vertices,…

Machine Learning · Computer Science 2019-06-05 Akshat Agarwal , Sumit Kumar , Katia Sycara

This paper develops a game-theoretic model and an agent-based model to study group formation driven by resource pooling, spatial cohesion, and heterogeneity. We focus on cross-sector partnerships (CSPs) involving public, private, and…

Computer Science and Game Theory · Computer Science 2025-09-24 Chenlan Wang , Jimin Han , Diana Jue-Rajasingh

In this technical note, we consider a collaborative learning framework with principal-agent setting, in which the principal at each time-step determines a set of appropriate aggregation coefficients based on how the current parameter…

Machine Learning · Statistics 2024-09-25 Getachew K Befekadu

The emerging collective motions of swarms of interacting agents are a subject of great interest in application areas ranging from biology to physics and robotics. In this paper, we conduct a careful analysis of the collective dynamics of a…

Adaptation and Self-Organizing Systems · Physics 2014-09-04 Klementyna Szwaykowska , Luis Mier-y-Teran Romero , Ira B. Schwartz

Non-reciprocal systems have been shown to sustain time-dependent patterns, most prominently travelling waves. The transition into these time-dependent states generally breaks time-translational invariance, representing a clear deviation…

Statistical Mechanics · Physics 2026-05-13 Emir Sezik , Gunnar Pruessner

Mean-Field Control (MFC) is a powerful tool to solve Multi-Agent Reinforcement Learning (MARL) problems. Recent studies have shown that MFC can well-approximate MARL when the population size is large and the agents are exchangeable.…

Machine Learning · Computer Science 2022-06-02 Washim Uddin Mondal , Vaneet Aggarwal , Satish V. Ukkusuri

Human interactions are influenced by emotions, temperament, and affection, often conflicting with individuals' underlying preferences. Without explicit knowledge of those preferences, judging whether behaviour is appropriate becomes…

Computer Science and Game Theory · Computer Science 2025-11-05 Victor Villin , Christos Dimitrakakis

Collective sensing is an emergent phenomenon which enables individuals to estimate a hidden property of the environment through the observation of social interactions. Previous work on collective sensing shows that gregarious individuals…

Populations and Evolution · Quantitative Biology 2018-05-24 Stefano Bennati

Subject to reasonable conditions, in large population stochastic dynamics games, where the agents are coupled by the system's mean field (i.e. the state distribution of the generic agent) through their nonlinear dynamics and their nonlinear…

Optimization and Control · Mathematics 2019-05-28 Nevroz Sen , Peter E. Caines

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

An emerging challenge in swarm shepherding research is to design effective and efficient artificial intelligence algorithms that maintain a low-computational ceiling while increasing the swarm's abilities to operate in diverse contexts. We…

Artificial Intelligence · Computer Science 2022-11-24 Adam Hepworth , Aya Hussein , Darryn Reid , Hussein Abbass

In this paper, we consider a multi-agent system consisting of mobile agents with second-order dynamics. The communication network is determined by the so-called topological interaction rule: agents interact with a fixed number of their…

Optimization and Control · Mathematics 2013-11-26 Samuel Martin

With the development of artificial intelligence, human beings are increasingly interested in human-agent collaboration, which generates a series of problems about the relationship between agents and humans, such as trust and cooperation.…

Physics and Society · Physics 2025-04-30 Danyang Jia , Xiangfeng Dai , Junliang Xing , Pin Tao , Yuanchun Shi , Zhen Wang

The problem of controlling complex networks is of interest to disciplines ranging from biology to swarm robotics. However, controllability can be too strict a condition, failing to capture a range of desirable behaviors. Herdability, which…

Systems and Control · Computer Science 2018-05-01 Sebastian F. Ruf , Magnus Egersted , Jeff S. Shamma

Control theory arose from a need to control synthetic systems. From regulating steam engines to tuning radios to devices capable of autonomous movement, it provided a formal mathematical basis for understanding the role of feedback in the…

Reciprocity is a fundamental symmetry present in many natural phenomena and engineered systems. Distinct situations where this symmetry is broken are typically grouped under the umbrella term "nonreciprocity", colloquially defined by: the…

Statistical Mechanics · Physics 2026-02-12 Michel Fruchart , Vincenzo Vitelli

Collective decision-making is a widespread phenomenon in both biological and artificial systems, where individuals reach a consensus through social interactions. While traditional models of opinion dynamics and contagion focus on pairwise…

Physics and Society · Physics 2025-10-02 David March-Pons , Romualdo Pastor-Satorras , M. Carmen Miguel

This work describes a collective decision-making dynamical process in a multiagent system under the assumption of cooperative higher-order interactions within the community, modeled as a hypernetwork. The nonlinear interconnected system is…

Optimization and Control · Mathematics 2025-09-08 Angela Fontan , Silun Zhang

Herding, where investors imitate others' decisions rather than relying on their own analysis, is a prevalent phenomenon in financial markets. Excessive herding distorts rational decisions, amplifies volatility, and can be exploited by…

Mathematical Finance · Quantitative Finance 2026-04-14 Huisheng Wang , H. Vicky Zhao

Active-passive multiagent systems consist of agents subject to inputs (active agents) and agents with no inputs (passive agents), where active and passive agent roles are considered to be interchangeable in order to capture a wide array of…

Systems and Control · Electrical Eng. & Systems 2020-10-07 Ehsan Arabi , Dimitra Panagou , Tansel Yucelen