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Many complex adaptive systems contain a large diversity of specialized components. The specialization at the level of the microscopic degrees of freedom, and diversity at the level of the system as a whole are phenomena that appear during…

adap-org · Physics 2007-05-23 Vivek S. Borkar , Sanjay Jain , Govindan Rangarajan

We investigate two paradigms for studying the evolution of cooperation--Prisoner's Dilemma and Snowdrift game in an online friendship network obtained from a social networking site. We demonstrate that such social network has small-world…

Physics and Society · Physics 2009-11-13 Feng Fu , Xiaojie Chen , Lianghuan Liu , Long Wang

Individual cooperative strategy influences the surrounding dynamic population, which in turn affects cooperative strategy. To better model this phenomenon, we develop a Markov decision chain based game transitions model and examine the…

Physics and Society · Physics 2025-12-30 Chaoyang Luo , Yuji Zhang , Minyu Feng , Attila Szolnoki

Hypergraphs, describing networks where interactions take place among any number of units, are a natural tool to model many real-world social and biological systems. In this work we propose a principled framework to model the organization of…

Social and Information Networks · Computer Science 2023-10-25 Nicolò Ruggeri , Martina Contisciani , Federico Battiston , Caterina De Bacco

The evolution of cooperation in networked systems helps to understand the dynamics in social networks, multi-agent systems, and biological species. The self-persistence of individual strategies is common in real-world decision making. The…

Social and Information Networks · Computer Science 2025-11-25 Ziyan Zeng , Minyu Feng , Attila Szolnoki

Social institutions are systems of shared norms and rules that regulate people's behaviors, often emerging without external enforcement. They provide criteria to distinguish cooperation from defection and establish rules to sustain…

Physics and Society · Physics 2025-04-15 Kenji Itao , Kunihiko Kaneko

Existing theoretical models of evolution focus on the relative fitness advantages of different mutants in a population while the dynamic behavior of the population size is mostly left unconsidered. We here present a generic stochastic model…

Populations and Evolution · Quantitative Biology 2010-10-20 Anna Melbinger , Jonas Cremer , Erwin Frey

There has been a long debate on how new levels of organization have evolved. It might seem unlikely, as cooperation must prevail over competition. One well-studied example is the emergence of autocatalytic sets, which seem to be a…

Populations and Evolution · Quantitative Biology 2026-02-16 Sean P. Maley , Carlos Gershenson , Stuart A. Kauffman

Using past behaviors to guide future actions is essential for fostering cooperation in repeated social dilemmas. Traditional memory-based strategies that focus on recent interactions have yielded valuable insights into the evolution of…

Populations and Evolution · Quantitative Biology 2025-09-05 Feipeng Zhang , Bingxin Lin , Lei Zhou , Long Wang

The evolutionary mechanisms of cooperative behavior represent a fundamental topic in complex systems and evolutionary dynamics. Real-world collective interactions, particularly in multi-agent systems, are often characterized by…

Adaptation and Self-Organizing Systems · Physics 2026-02-23 Yishen Jiang , Xin Wang , Wenqiang Zhu , Ming Wei , Longzhao Liu , Shaoting Tang , Hongwei Zheng

Spatial reciprocity is a well known tour de force of cooperation promotion. A thorough understanding of the effects of different population densities is therefore crucial. Here we study the evolution of cooperation in social dilemmas on…

Physics and Society · Physics 2012-05-14 Zhen Wang , Attila Szolnoki , Matjaz Perc

Cooperation underlies many aspects of the evolution of human and animal societies, where cooperators produce social goods to benefit others. Explaining the emergence of cooperation among selfish individuals has become a major research…

Physics and Society · Physics 2025-03-10 Yao Meng , Sean P. Cornelius , Yang-Yu Liu , Aming Li

Understanding the evolution of cooperation in multiplayer games is of vital significance for natural and social systems. An important challenge is that group interactions often leads to nonlinear synergistic effects. However, previous…

Physics and Society · Physics 2025-05-13 Wenqiang Zhu , Xin Wang , Chaoqian Wang , Longzhao Liu , Jiaxin Hu , Zhiming Zheng , Shaoting Tang , Hongwei Zheng , Jin Dong

In population games, a large population of players, modeled as a continuum, is divided into subpopulations, and the fitness or payoff of each subpopulation depends on the overall population composition. Evolutionary dynamics describe how…

Optimization and Control · Mathematics 2016-09-19 M. A. Mabrok , Jeff Shamma

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

Decades of scientific inquiry have sought to understand how evolution fosters cooperation, a concept seemingly at odds with the belief that evolution should produce rational, self-interested individuals. Most previous work has focused on…

Populations and Evolution · Quantitative Biology 2025-12-16 Mohammad Salahshour , Iain D. Couzin

Complex networks have become the main paradigm for modelling the dynamics of interacting systems. However, networks are intrinsically limited to describing pairwise interactions, whereas real-world systems are often characterized by…

A common assumption employed in most previous works on evolutionary game dynamics is that every individual player has full knowledge about and full access to the complete set of available strategies. In realistic social, economical, and…

Adaptation and Self-Organizing Systems · Physics 2018-11-14 Jun-Jie Jiang , Yu-Zhong Chen , Zi-Gang Huang , Ying-Cheng Lai

A growing body of empirical evidence indicates that social and cooperative behavior can be affected by cognitive and neurological factors, suggesting the existence of state-based decision-making mechanisms that may have emerged by…

Populations and Evolution · Quantitative Biology 2017-08-23 Zoran Utkovski , Viktor Stojkoski , Lasko Basnarkov , Ljupco Kocarev

Networks form the backbone of many complex systems, ranging from the Internet to human societies. Accordingly, not only is the range of our interactions limited and thus best described and modeled by networks, it is also a fact that the…

Physics and Society · Physics 2015-05-15 Zhen Wang , Lin Wang , Attila Szolnoki , Matjaz Perc