Double transition in kinetic exchange opinion models with activation dynamics

Pires, Marcelo A.; Crokidakis, Nuno

doi:10.1098/rsta.2021.0164

Cited by 6 publications

(3 citation statements)

References 44 publications

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“…This result suggests a typical active-absorbing phase transition in the directed percolation universality class [29,31,[33][34][35], as observed also for the standard SIS model. This absorbing state was also observed previously, when we discussed the time evolution of the populations of radicals and moderated individuals (see Fig.…”

Section: Modelsupporting

confidence: 78%

COVID-19 spreading in Rio de Janeiro, Brazil: do the policies of social isolation really work?

Crokidakis

2020

Preprint

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In this case, we observe a distinct behavior: a sub-exponential growth. In order to capture this change in the behavior of the evolution of the confirmed cases, we consider the implementation of isolation policies. The modified model agrees well with data. Finally, we consider the relaxation of such policies, and discuss about the ideal period of time to release people to return to their activities.

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Section: Modelsupporting

confidence: 78%

COVID-19 spreading in Rio de Janeiro, Brazil: do the policies of social isolation really work?

Crokidakis

2020

Preprint

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“…随着信息化进程的加快, 整个社会充斥着爆炸般的信息, 令人应接不暇, 观点的传播逐渐成为复杂网络科学中倍受关注的研究方向. 近期的研究中: Calvelli等 [1] 研究了具有反从众性的Sznajd模型 , 证明该模型在各个维度上的相变都属于 Ising模型普适类; Pires和Crokidakis [2] 研究了考虑个体的激活(activation)与停用(deactivation) 的观点动力学, 证明在这种动力学下系统存在三种转变, 相变行为分别属于Ising模型普适类与接触过程 (contact process)普适类 ; Khalil和 Galla [3] 研究了Voter模型中的狂热者, 分析了各种影响因素下多模态(multimodel)和单模态(unimodel)的转换; Liu等 [4] 研究了协同演化网络中极化的出现, 通过理论分析预测了3个不同极化阶段的相变, 不仅可以解释实验观测的标度率, 还可以定量预测标度指数. 在观点动力学的常用模型中, 多数投票模型是一个具有上下对称性的非平衡态模型 [5][6][7][8][9][10][11][12][13][14] , 随着噪声参数的增大, 该模型呈现出有序-无序相变, 且在低维度的规则晶格上, 多数投票模型的相变属于Ising模型普适类 [7] .…”

Section: 引言unclassified

Majority-vote model with collective influence of hierarchical structures

Chen,

Yun,

Guan

et al. 2024

Acta Phys. Sin.

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Majority-vote model is a commonly used model in the study of opinion dynamics. In the original majority-vote model, the influence of node is decided by their neighbors. But there are nodes with low degree surrounded by nodes with high degree so they also have a great influence on the evolution of opinions. Therefore, the influence of a node should not only be measured by neighbors are connected to itself directly. Thus, this paper adds collective influence with hierarchical structures into majority-vote model and measures opinion weight of center node by degree of their neighbors on hierarchical structures surround it with the set distance. The collective influence parameters used in this paper are related to the value of collective influence mentioned above and normalized by the maximum value of all nodes in system. The opinions' evolution of majority-vote model with collective influence are studied in ER random networks and scale-free networks with different degree distribution exponents by Monte Carlo simulations. It is found that all systems have order-disorder phase transitions with the increase of noise parameter. When the depth of hierarchical structure is not zero, systems with collective influence are much easier turning to disordered states so their critical noise parameters of phase transition is smaller than 0-depth systems and original majority-vote model. The reason is that high degree nodes in original majority-vote model have high influence because they are connected to more neighbors and nodes' influence is also directly decided by degree in 0-depth collective influence model. Furthermore, nodes' collective influence parameters in the system will all decrease when hierarchical structure of nonzero depth is considered, only a small number of individuals have high influence parameters in the system and they will make the opinions of surrounding individuals follow theirs, so the system will reach the disordered state if those small number of high influence individuals' opinions are disordered. Because of the above factors, the collective influence model of nonzero depth is much easier to be disordered with the increase of noise parameter. Besides, it is proved that the system is easier to reach disordered state with the increase of degree distribution exponents in scale-free networks because all nodes' degree will be lower that the system will be dominated by less nodes with high degree. This conclusion verified that scale-free networks are more similar to ER random networks with the increase of degree distribution exponents. Finally, through the finite-size scaling method, it is found that the phase transition of the majority-vote model with collective influence of hierarchical structures is the Ising model universal class, no matter in ER random networks or scale-free networks.

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“…Pires & Crokidakis [ 21 ] study a model of opinion dynamics considering activation/deactivation of agents. In other words, individuals can become inactive and drop out from the discussion.…”

Section: Kinetic Exchange Models Of Opinion Formationmentioning

confidence: 99%

Kinetic exchange models of societies and economies

Toscani

Sen

Biswas

2022

Phil. Trans. R. Soc. A.

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The statistical nature of collective human behaviour in a society is a topic of broad current interest. From formation of consensus through exchange of ideas, distributing wealth through exchanges of money, traffic flows, growth of cities to spread of infectious diseases, the application range of such collective responses cuts across multiple disciplines. Kinetic models have been an elegant and powerful tool to explain such collective phenomena in a myriad of human interaction-based problems, where an energy consideration for dynamics is generally inaccessible. Nonetheless, in this age of Big Data, seeking empirical regularities emerging out of collective responses is a prominent and essential approach, much like the empirical thermodynamic principles preceding quantitative foundations of statistical mechanics. In this introductory article of the theme issue, we will provide an overview of the field of applications of kinetic theories in different socio-economic contexts and its recent boosting topics. Moreover, we will put the contributions to the theme issue in an appropriate perspective. This article is part of the theme issue ‘Kinetic exchange models of societies and economies’.

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Double transition in kinetic exchange opinion models with activation dynamics

Cited by 6 publications

References 44 publications

COVID-19 spreading in Rio de Janeiro, Brazil: do the policies of social isolation really work?

COVID-19 spreading in Rio de Janeiro, Brazil: do the policies of social isolation really work?

Majority-vote model with collective influence of hierarchical structures

Kinetic exchange models of societies and economies

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