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Our work introduces an approach for estimating the contribution of attachment mechanisms to the formation of growing networks. We present a generic model in which growth is driven by the continuous attachment of new nodes according to…

Probability · Mathematics 2019-02-20 Jan Medina , Jorge Finke , Camilo Rocha

We present results of the prisoner's dilemma game on complex networks that have population change. We introduce a death process with minimum requirements and show that it induces a highly cooperative society. We also study the effects of…

Physics and Society · Physics 2018-11-08 Wonhee Jeong , Unjong Yu

We present a simple model of network growth and solve it by writing down the dynamic equations for its macroscopic characteristics like the degree distribution and degree correlations. This allows us to study carefully the percolation…

Statistical Mechanics · Physics 2014-04-28 Hans Hooyberghs , Bert Van Schaeybroeck , Joseph O. Indekeu

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

In this work we have used computer models of social-like networks to show by extensive numerical simulations that cooperation in evolutionary games can emerge and be stable on this class of networks. The amounts of cooperation reached are…

Physics and Society · Physics 2012-07-12 Alberto Antonioni , Marco Tomassini

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

Conventional studies of network growth models mainly look at the steady state degree distribution of the graph. Often long time behavior is considered, hence the initial condition is ignored. In this contribution, the time evolution of the…

Physics and Society · Physics 2013-05-10 Babak Fotouhi , Michael Rabbat

Preferential attachment is often suggested to be the underlying mechanism of the growth of a network, largely due to that many real networks are, to a certain extent, scale-free. However, such attribution is usually made under debatable…

Applications · Statistics 2025-09-16 Clement Lee

Evolving network models under a dynamic growth rule which comprises the addition and deletion of nodes are investigated. By adding a node with a probability $P_a$ or deleting a node with the probability $P_d=1-P_a$ at each time step, where…

Physics and Society · Physics 2011-08-09 Ke Deng , Ke Hu , Yi Tang

We study an evolutionary version of the spatial prisoner's dilemma game, where the agents are placed in a random graph. For lattices with fixed connectivity, $\alpha$, we show that for low values of $\alpha$ the final density of cooperating…

Statistical Mechanics · Physics 2007-05-23 O. Durán , R. Mulet

In studying network growth, the conventional approach is to devise a growth mechanism, quantify the evolution of a statistic or distribution (such as the degree distribution), and then solve the equations in the steady state (the…

Physics and Society · Physics 2014-11-05 Babak Fotouhi

In this paper, the Optional Prisoner's Dilemma game in a spatial environment, with coevolutionary rules for both the strategy and network links between agents, is studied. Using a Monte Carlo simulation approach, a number of experiments are…

Neural and Evolutionary Computing · Computer Science 2017-12-04 Marcos Cardinot , Colm O'Riordan , Josephine Griffith

We present analytical results for the emerging structure of networks that evolve via a combination of growth (by node addition and random attachment) and contraction (by random node deletion). To this end we consider a network model in…

Statistical Mechanics · Physics 2022-10-25 Barak Budnick , Ofer Biham , Eytan Katzav

Traditional evolutionary game theory describes how certain strategy spreads throughout the system where individual player imitates the most successful strategy among its neighborhood. Accordingly, player doesn't have own authority to change…

Multiagent Systems · Computer Science 2016-04-14 Sundong Kim , Jin-Jae Lee

We address the problem of how the survival of cooperation in a social system depends on the motion of the individuals. Specifically, we study a model in which Prisoner's Dilemma players are allowed to move in a two-dimensional plane. Our…

Physics and Society · Physics 2015-05-13 S. Meloni , A. Buscarino , L. Fortuna , M. Frasca , J. Gomez-Gardenes , V. Latora , Y. Moreno

We consider a group of agents on a graph who repeatedly play the prisoner's dilemma game against their neighbors. The players adapt their actions to the past behavior of their opponents by applying the win-stay lose-shift strategy. On a…

Probability · Mathematics 2007-05-23 Elchanan Mossel , Sebastien Roch

Population diversity is an important aspect of Prisoner's Dilemma Game (PDG) research. However, the studies on dynamic diversity and its associated cost still need further investigation. Based on a framework comprising 2-dimensional spatial…

Mesoscale and Nanoscale Physics · Physics 2022-06-13 Yandi Liu , Na Guo , Yonghui Li

We study the growth of a directed transportation network, such as a food web, in which links carry resources. We propose a growth process in which new nodes (or species) preferentially attach to existing nodes with high indegree (in…

Statistical Mechanics · Physics 2008-03-17 Volkan Sevim , Per Arne Rikvold

We propose a simple preferential attachment model of growing network using the complementary probability of Barab\'asi-Albert (BA) model, i.e., $\Pi(k_i) \propto 1-\frac{k_i}{\sum_j k_j}$. In this network, new nodes are preferentially…

Physics and Society · Physics 2016-01-20 A. Lachgar , A. Achahbar

Punishment and partner switching are two well-studied mechanisms that support the evolution of cooperation. Observation of human behaviour suggests that the extent to which punishment is adopted depends on the usage of alternative…

Physics and Society · Physics 2018-04-26 Hirofumi Takesue