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In this work we study the behavior of classical two-person, two-strategies evolutionary games on networks embedded in a Euclidean two-dimensional space with different kinds of degree distributions and topologies going from regular to…

物理与社会 · 物理学 2013-07-03 Pierre Buesser , Marco Tomassini

In a recent Letter [F.C. Santos and J. M. Pacheco Phys. Rev. Lett. \textbf{95}, 098104 (2005)], the scale-free networks are found to be advantageous for the emergence of cooperation. In the present work an evolutionary prisoner's dilemma…

物理与社会 · 物理学 2007-05-23 Zhi-Xi Wu , Xin-Jian Xu , Ying-Hai Wang

Evolutionary game theory is one of the key paradigms behind many scientific disciplines from science to engineering. Previous studies proposed a strategy updating mechanism, which successfully demonstrated that the scale-free network can…

物理与社会 · 物理学 2015-06-19 Yichao Zhang , M. A. Aziz-Alaoui , Cyrille Bertelle , Shi Zhou , Wenting Wang

We review the recent fast progress in statistical physics of evolving networks. Interest has focused mainly on the structural properties of random complex networks in communications, biology, social sciences and economics. A number of giant…

统计力学 · 物理学 2015-06-24 S. N. Dorogovtsev , J. F. F. Mendes

Several fundamental properties of real complex networks, such as the small-world effect, the scale-free degree distribution, and recently discovered topological fractal structure, have presented the possibility of a unique growth mechanism…

数据分析、统计与概率 · 物理学 2009-11-13 Liuhua Zou , Wenjiang Pei , Tao Li , Zhenya He , Yiuming Cheung

We propose two types of evolving networks: evolutionary Apollonian networks (EAN) and general deterministic Apollonian networks (GDAN), established by simple iteration algorithms. We investigate the two networks by both simulation and…

统计力学 · 物理学 2007-05-23 Zhongzhi Zhang , Lili Rong , Shuigeng Zhou

We study the evolution of cooperation in the prisoner's dilemma and the snowdrift game on scale-free networks that are subjected to intentional and random removal of vertices. We show that, irrespective of the game type, cooperation on…

物理与社会 · 物理学 2009-08-27 Matjaz Perc

We study the cooperation problem in the framework of evolutionary game theory using the prisoner's dilemma as metaphor of the problem. Considering the growing process of the system and individuals with imitation capacity, we show conditions…

计算机科学与博弈论 · 计算机科学 2015-06-11 Ignacio Gomez Portillo

We study fully synchronized states in scale-free networks of chaotic logistic maps as a function of both dynamical and topological parameters. Three different network topologies are considered: (i) random scale-free topology, (ii)…

无序系统与神经网络 · 物理学 2009-11-10 Pedro G. Lind , Jason A. C. Gallas , Hans J. Herrmann

The conventional wisdom is that scale-free networks are prone to cooperation spreading. In this paper we investigate the cooperative behaviors on the structured scale-free network. On the contrary of the conventional wisdom that scale-free…

物理与社会 · 物理学 2009-05-29 Xing Li , Yonghui Wu , Zhihai Rong , Zhongzhi Zhang , Shuigeng Zhou

We study the effects of conformity, the tendency of humans to imitate locally common behaviors, in the evolution of cooperation when individuals occupy the vertices of a graph and engage in the one-shot Prisoner's Dilemma or the Snowdrift…

物理与社会 · 物理学 2010-11-24 Jorge Pena , Henri Volken , Enea Pestelacci , Marco Tomassini

The evolution of cooperation in social dilemmas in structured populations has been studied extensively in recent years. Whereas many theoretical studies have found that a heterogeneous network of contacts favors cooperation, the impact of…

物理与社会 · 物理学 2017-12-04 Kaj-Kolja Kleineberg

It is well known that cooperation cannot be an evolutionary stable strategy for a non-iterative game in a well-mixed population. In contrast, structured populations favor cooperation since cooperators can benefit each other by forming local…

物理与社会 · 物理学 2017-04-07 Genki Ichinose , Hiroki Sayama

In this paper we introduce a model of spatial network growth in which nodes are placed at randomly selected locations on a unit square in $\mathbb{R}^2$, forming new connections to old nodes subject to the constraint that edges do not…

物理与社会 · 物理学 2016-02-12 Garvin Haslett , Seth Bullock , Markus Brede

Cooperative behavior constitutes a key aspect of human society and non-human animal systems, but explaining how cooperation evolves represents a major scientific challenge. It is now well established that social network structure plays a…

种群与进化 · 定量生物学 2024-11-20 Josefine Bohr Brask , Jonatan Bohr Brask

We consider a finite structured population of mobile individuals that strategically explore a network using a Markov movement model and interact with each other via a public goods game. We extend the model of Erovenko et al. (2019) from…

物理与社会 · 物理学 2023-10-11 Igor V. Erovenko , Mark Broom

Using a simple model with link removals as well as link additions, we show that an evolving network is scale free with a degree exponent in the range of (2, 4]. We then establish a relation between the network evolution and a set of…

数学物理 · 物理学 2007-05-23 Dinghua Shi , Liming Liu , Xiang Zhu , Huijie Zhou , Binbin Wang

Networks with a scale-free degree distribution are widely thought to promote cooperation in various games. Herein, by studying the well-known prisoner's dilemma game, we demonstrate that this need not necessarily be true. For the very same…

物理与社会 · 物理学 2021-10-27 Deep Nath , Saptarshi Sinha , Soumen Roy

We introduce a general deterministic model for Apollonian Networks in an iterative fashion. The networks have small-world effect and scale-free topology. We calculate the exact results for the degree exponent, the clustering coefficient and…

统计力学 · 物理学 2007-05-23 Zhongzhi Zhang , Lili Rong

In spite of its relevance to the origin of complex networks, the interplay between form and function and its role during network formation remains largely unexplored. While recent studies introduce dynamics by considering rewiring processes…

物理与社会 · 物理学 2008-07-18 J. Poncela , J. Gomez-Gardenes , L. M. Floria , A. Sanchez , Y. Moreno
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