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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

We study a dynamic game with a large population of players who choose actions from a finite set in continuous time. Each player has a state in a finite state space that evolves stochastically with their actions. A player's reward depends…

系统与控制 · 电气工程与系统科学 2025-11-06 Leonardo Pedroso , Andrea Agazzi , W. P. M. H. Heemels , Mauro Salazar

We investigate a growing network model that combines preferential and uniform attachment with two distinct mechanisms of edge deletion. In addition to the usual uniform probability edge deletion, we introduce a novel node-based rule in…

适应与自组织系统 · 物理学 2026-02-24 Everton R. Constantino , Alberto Saa

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…

统计力学 · 物理学 2007-05-23 O. Durán , R. Mulet

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

We establish a theoretical framework to address evolutionary dynamics of spatial games under strong selection. As the selection intensity tends to infinity, strategy competition unfolds in the deterministic way of winners taking all. We…

种群与进化 · 定量生物学 2022-09-20 Te Wu , Feng Fu , Long Wang

In the paper, we present an incremental approach in the construction of scale free networks with hidden variables. The work arises from the necessity to generate that type of networks with a given number of links instead of obtaining a…

无序系统与神经网络 · 物理学 2021-06-10 Fabio Vanni

We study a model of stochastic evolutionary game dynamics in which the probabilities that agents choose suboptimal actions are dependent on payoff consequences. We prove a sample path large deviation principle, characterizing the rate of…

概率论 · 数学 2017-08-10 William H. Sandholm , Mathias Staudigl

Scale independence is a ubiquitous feature of complex systems which implies a highly skewed distribution of resources with no characteristic scale. Research has long focused on why systems as varied as protein networks, evolution and stock…

物理与社会 · 物理学 2016-02-08 Laurent Hébert-Dufresne , Antoine Allard , Jean-Gabriel Young , Louis J. Dubé

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

Trusting in others and reciprocating that trust with trustworthy actions are crucial to successful and prosperous societies. The Trust Game has been widely used to quantitatively study trust and trustworthiness, involving a sequential…

统计力学 · 物理学 2021-01-04 Ik Soo Lim

Evolutionary game dynamics in structured populations has been extensively explored in past decades. However, most previous studies assume that payoffs of individuals are fully determined by the strategic behaviors of interacting parties and…

种群与进化 · 定量生物学 2019-06-19 Qi Su , Lei Zhou , Long Wang

The theory of complex networks and of disordered systems is used to study the stability and dynamical properties of a simple model of material flow networks defined on random graphs. In particular we address instabilities that are…

无序系统与神经网络 · 物理学 2009-11-13 Kartik Anand , Tobias Galla

In evolutionary game theory, repeated two-player games are used to study strategy evolution in a population under natural selection. As the evolution greatly depends on the interaction structure, there has been growing interests in studying…

计算机科学与博弈论 · 计算机科学 2011-02-21 Colin Cooper , Martin Dyer , Velumailum Mohanaraj

Population structure can be modelled by evolutionary graphs, which can have a substantial, but very subtle influence on the fate of the arising mutants. Individuals are located on the nodes of these graphs, competing with each other to…

种群与进化 · 定量生物学 2018-10-31 Marius Möller , Laura Hindersin , Arne Traulsen

Methods connecting dynamical systems and graph theory have attracted increasing interest in the past few years, with applications ranging from a detailed comparison of different kinds of dynamics to the characterisation of empirical data.…

统计力学 · 物理学 2018-01-18 Marcello A. Budroni , Andrea Baronchelli , Romualdo Pastor-Satorras

Activity or spin patterns on random scale-free network are studied by mean field analysis and computer simulations. These activity patterns evolve in time according to local majority-rule dynamics which is implemented using (i) parallel or…

无序系统与神经网络 · 物理学 2007-05-23 Haijun Zhou , Reinhard Lipowsky

We study large fluctuations in evolutionary games belonging to the coordination and anti-coordination classes. The dynamics of these games, modeling cooperation dilemmas, is characterized by a coexistence fixed point separating two…

种群与进化 · 定量生物学 2015-05-19 Michael Assaf , Mauro Mobilia

We study the evolution of a random weighted network with complex nonlinear dynamics at each node, whose activity may cease as a result of interactions with other nodes. Starting from a knowledge of the micro-level behaviour at each node, we…

统计力学 · 物理学 2007-05-23 Sitabhra Sinha , Sudeshna Sinha

The emergence of complex networks from evolutionary games is studied occurring when agents are allowed to switch interaction partners. For this purpose a coevolutionary iterated Prisoner's Dilemma game is defined on a random network with…

无序系统与神经网络 · 物理学 2007-05-23 Holger Ebel , Stefan Bornholdt