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We study the spreading of a disease on top of structured scale-free networks recently introduced. By means of numerical simulations we analyze the SIS and the SIR models. Our results show that when the connectivity fluctuations of the…

Statistical Mechanics · Physics 2009-11-07 Yamir Moreno , Alexei Vazquez

Social networks have a scale-free property and community structure, and many problems in life have the characteristic of public goods, such as resource shortage. Due to different preferences of individuals, there exist individuals who adopt…

Physics and Society · Physics 2022-11-23 Mingzhen Zhang , Naiding Yang , Xianglin Zhu

A two-dimensional small-world type network, subject to spatial prisoners' dilemma dynamics and containing an influential node defined as a special node with a finite density of directed random links to the other nodes in the network, is…

Disordered Systems and Neural Networks · Physics 2009-11-07 Beom Jun Kim , Ala Trusina , Petter Holme , Petter Minnhagen , Jean S. Chung , M. Y. Choi

In this work, we aim to contribute to the understanding of the human pro-social behavior by studying the influence that a particular form of social pressure "being watched" has on the evolution of cooperative behavior. We study how…

Physics and Society · Physics 2016-10-12 María Pereda

Many real-world networks display a natural bipartite structure. Investigating it based on the original structure is helpful to get deep understanding about the networks. In this paper, some real-world bipartite networks are collected and…

Physics and Society · Physics 2008-04-25 Peng Zhang , Menghui Li , J. F. F. Mendes , Zengru Di , Ying Fan

In this article we discuss network growth based on Prisoner's Dilemma(PD) where palyers on nodes in a network palay with its linked players. The players estimate total profits in the PD. When a new node is attached, the node make linkes to…

Physics and Society · Physics 2009-09-29 Norihito Toyota

Understanding cooperation in social dilemmas requires models that capture the complexity of real-world interactions. While network frameworks have provided valuable insights to model the evolution of cooperation, they are unable to encode…

Physics and Society · Physics 2025-07-15 Onkar Sadekar , Andrea Civilini , Vito Latora , Federico Battiston

We present a game-theoretic model for the spread of deviant behavior in online social networks. We utilize a two-strategy framework wherein each player's behavior is classified as normal or deviant and evolves according to the…

Computer Science and Game Theory · Computer Science 2014-08-19 Sarah Rajtmajer , Christopher Griffin , Derek Mikesell , Anna Squicciarini

Cooperative behavior is common in nature even if selfishness is sometimes better for an individual. Empirical and theoretical studies have shown that the invasion and expansion of cooperators are related to an inhomogeneous connectivity…

Physics and Society · Physics 2015-05-27 Li-Xin Zhong , Tian Qiu

During the last few years, much research has been devoted to strategic interactions on complex networks. In this context, the Prisoner's Dilemma has become a paradigmatic model, and it has been established that imitative evolutionary…

Physics and Society · Physics 2015-02-18 Carlos Gracia-Lazaro , Jose A. Cuesta , Angel Sanchez , Yamir Moreno

According to evolutionary game theory, cooperation in public goods games is eliminated by free-riders, yet in nature, cooperation is ubiquitous. Artificial models resolve this contradiction via the mechanism of network reciprocity. However,…

Computer Science and Game Theory · Computer Science 2016-05-10 Steve Miller , Joshua Knowles

Aging is always present, tailoring our interactions with others and postulating a finite lifespan during which we are able to exercise them. We consider the prisoner's dilemma game on a square lattice, and examine how quenched age…

Physics and Society · Physics 2009-08-05 Attila Szolnoki , Matjaz Perc , Gyorgy Szabo , Hans-Ulrich Stark

In this paper we address the cooperation problem in structured populations by considering the prisoner's dilemma game as metaphor of the social interactions between individuals with imitation capacity. We present a new strategy update rule…

Computer Science and Game Theory · Computer Science 2013-03-19 Ignacio Gomez Portillo

We explore the evolution of cooperation in the framework of the evolutionary game theory using the prisoner's dilemma as metaphor of the problem. We present a minimal model taking into account the growing process of the systems and…

Computer Science and Game Theory · Computer Science 2015-06-03 Ignacio Gomez Portillo

We revisit two evolutionary game theory models, namely the Prisoner and the Snowdrift dilemmas, on top of small-world networks. These dynamics on networked populations (individuals occupying nodes of a graph) are mainly concerning on the…

In this paper, we investigate the effect of "heterogeneity of link weight", heterogeneity of the frequency or amount of interactions among individuals, on the evolution of cooperation. Based on an analysis of the evolutionary prisoner's…

Physics and Society · Physics 2016-02-17 M. Iwata , E. Akiyama

Most papers about the evolutionary game on graph assume the statistic network structure. However, social interaction could change the relationship of people. And the changing social structure will affect the people's strategy too. We build…

Physics and Society · Physics 2009-09-30 Shao-Meng Qin , Guo-Yong Zhang , Yong Chen

Models of strategy evolution on static networks help us understand how population structure can promote the spread of traits like cooperation. One key mechanism is the formation of altruistic spatial clusters, where neighbors of a…

Physics and Society · Physics 2023-09-07 Qi Su , Alex McAvoy , Joshua B. Plotkin

Recent empirical studies suggest that heavy-tailed distributions of human activities are universal in real social dynamics [Muchnik, \emph{et al.}, Sci. Rep. \textbf{3}, 1783 (2013)]. On the other hand, community structure is ubiquitous in…

Physics and Society · Physics 2015-01-14 Zhi-Xi Wu , Zhihai Rong , Han-Xin Yang

We focus on the heterogeneity of social networks and its role to the emergence of prevailing cooperation and sustaining cooperators. The social networks are representative of the interaction relationships between players and their…

Dynamical Systems · Mathematics 2009-11-11 Feng Fu , Lianghuan Liu , Long Wang