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We live and cooperate in networks. However, links in networks only allow for pairwise interactions, thus making the framework suitable for dyadic games, but not for games that are played in groups of more than two players. Here, we study…

Adaptive networks are a novel class of dynamical networks whose topologies and states coevolve. Many real-world complex systems can be modeled as adaptive networks, including social networks, transportation networks, neural networks and…

Social and Information Networks · Computer Science 2017-05-29 Hiroki Sayama , Irene Pestov , Jeffrey Schmidt , Benjamin James Bush , Chun Wong , Junichi Yamanoi , Thilo Gross

Complex networks are a great tool for simulating the outcomes of different strategies used within the iterated prisoners' dilemma game. However, because the strategies themselves rely on the connection between nodes, then initial network…

Physics and Society · Physics 2022-08-30 Louis Zhao , Chen Ye Gan , Minglu Zhao

We present a game of interacting agents which mimics the complex dynamics found in many natural and social systems. These agents modify their strategies periodically, depending on their performances using genetic crossover mechanisms,…

Statistical Mechanics · Physics 2009-11-10 Marko Sysi-Aho , Anirban Chakraborti , Kimmo Kaski

Models of cooperation grounded on social networks and on the ability of individuals to choose actions and partners aim to describe human social behavior. Extensive computer simulations of these models give important insight in the social…

Physics and Society · Physics 2007-05-23 Victor M. Eguluz , Martin G. Zimmermann , Camilo J. Cela-Conde , Maxi San Miguel

Human societies around the world interact with each other by developing and maintaining social norms, and it is critically important to understand how such norms emerge and change. In this work, we define an evolutionary game-theoretic…

Computers and Society · Computer Science 2017-04-18 Soham De , Dana S. Nau , Michele J. Gelfand

This tutorial presents cooperative and noncooperative game-theoretic frameworks for modeling, learning, and control in socio-technical systems, where human behavior, incentives, institutions, and social interactions are coupled with…

Systems and Control · Electrical Eng. & Systems 2026-05-19 Tamer Başar , Tomohisa Hayakawa , Hideaki Ishii , Quanyan Zhu

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

Complex systems are characterized by many interacting units that give rise to emergent behavior. A particularly advantageous way to study these systems is through the analysis of the networks that encode the interactions among the system's…

Physics and Society · Physics 2019-03-21 Alberto Aleta , Yamir Moreno

Multi-agent systems often operate under feedback, adaptation, and non-stationarity, yet many simulation studies retain static decision rules and fixed control parameters. This paper introduces a general adaptive multi-agent learning…

Multiagent Systems · Computer Science 2025-11-26 Roberto Garrone

Natural, social, and artificial multi-agent systems usually operate in dynamic environments, where the ability to respond to changing circumstances is a crucial feature. An effective collective response requires suitable information…

Systems and Control · Computer Science 2022-09-29 David Mateo , Nikolaj Horsevad , Vahid Hassani , Mohammadreza Chamanbaz , Roland Bouffanais

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

In a complex system, the individual components are neither so tightly coupled or correlated that they can all be treated as a single unit, nor so uncorrelated that they can be approximated as independent entities. Instead, patterns of…

Populations and Evolution · Quantitative Biology 2015-09-15 Blake C. Stacey

Hierarchical networks are prevalent in nature and society, corresponding to groups of actors - animals, humans or even robots - organised according to a pyramidal structure with decision makers at the top and followers at the bottom. While…

Physics and Society · Physics 2019-01-25 Bálint J. Tóth , Gergely Palla , Enys Mones , Gergő Havadi , Nóra Páll , Péter Pollner , Tamás Vicsek

We study systems of interacting reinforced stochastic processes, where agents' decisions evolve under reinforcement, network-mediated interactions, and environmental influences. In competitive environments with irreducible networks, we…

Probability · Mathematics 2025-09-18 Michele Aleandri , Paolo Dai Pra , Ida Germana Minelli

This paper seeks to combine differential game theory with the actor-critic-identifier architecture to determine forward-in-time, approximate optimal controllers for formation tracking in multi-agent systems, where the agents have uncertain…

Systems and Control · Computer Science 2017-07-25 Rushikesh Kamalapurkar , Justin R. Klotz , Patrick Walters , Warren E. Dixon

This paper proposes a systems approach to social sciences based on mathematical framework derived from a generalization of the mathematical kinetic theory and on theoretical tools of game theory. Social systems are modeled as a living…

Physics and Society · Physics 2015-09-14 Giulia Ajmone Marsan , Nicola Bellomo , Livio Gibelli

A central premise in evolutionary biology is that individual variation can generate information asymmetries that facilitate the emergence of hierarchical organisation. To examine this process, we develop an agent-based model (ABM) to…

Multiagent Systems · Computer Science 2026-05-06 Shanshan Mao , Peter Tino

Microscopic strategy update rules play an important role in the evolutionary dynamics of cooperation among interacting agents on complex networks. Many previous related works only consider one \emph{fixed} rule, while in the real world,…

Optimization and Control · Mathematics 2023-11-27 Shengxian Wang , Weijia Yao , Ming Cao , Xiaojie Chen

Understanding the evolution of human social systems requires flexible formalisms for the emergence of institutions. Although game theory is normally used to model interactions individually, larger spaces of games can be helpful for modeling…

Physics and Society · Physics 2021-08-12 Seth Frey , Curtis Atkisson