Evolutionary Dynamics in Opinion Formation Model With Coupling of Social Communities

Xu, Wei; Liu, Zhong; Huang, Ping; Qiu, Tian; Shi, Yongdong; Zhong, Chen-Yang

doi:10.1142/s0219525915500034

Cited by 6 publications

(3 citation statements)

References 65 publications

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“…Such networks are conventionally called as interdependent systems, which fall in a different category of ours (see [25] for more backgrounds). Another work similar in spirit is [43], where the effect of multiple communities on opinion formation is investigated. It is shown that increasing the multiple layers is similar to promoting coupling between different communities.…”

Section: Introductionmentioning

confidence: 99%

Deffuant model of opinion formation in one-dimensional multiplex networks

Shang¹

2015

J. Phys. A: Math. Theor.

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Complex systems in the real world often operate through multiple kinds of links connecting their constituents. In this paper we propose an opinion formation model under bounded confidence over multiplex networks, consisting of edges at different topological and temporal scales. We determine rigorously the critical confidence threshold by exploiting probability theory and network science when the nodes are arranged on the integers, , evolving in continuous time. It is found that the existence of 'multiplexity' impedes the convergence, and that working with the aggregated or summarized simplex network is inaccurate since it misses vital information. Analytical calculations are confirmed by extensive numerical simulations.

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Section: Introductionmentioning

confidence: 99%

Deffuant model of opinion formation in one-dimensional multiplex networks

Shang¹

2015

J. Phys. A: Math. Theor.

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“…Each individual has a preference for the group-size n [50,51,52,53]. At each time step, firstly, we randomly choose an individual i with the preferred group-size n i from the total N individuals.…”

Section: The Modelmentioning

confidence: 99%

A generalized public goods game with coupling of individual ability and project benefit

Liu

et al. 2017

Chaos, Solitons & Fractals

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Facing a heavy task, any single person can only make a limited contribution and team cooperation is needed. As one enjoys the benefit of the public goods, the potential benefits of the project are not always maximized and may be partly wasted. By incorporating individual ability and project benefit into the original public goods game, we study the coupling effect of the four parameters, the upper limit of individual contribution, the upper limit of individual benefit, the needed project cost and the upper limit of project benefit on the evolution of cooperation. Coevolving with the individual-level group size preferences, an increase in the upper limit of individual benefit promotes cooperation while an increase in the upper limit of individual contribution inhibits cooperation. The coupling of the upper limit of individual contribution and the needed project cost determines the critical point of the upper limit of project benefit, where the equilibrium frequency of cooperators reaches its highest level. Above the critical point, an increase in the upper limit of project benefit inhibits cooperation. The evolution of cooperation is closely related to the preferred group-size distribution. A functional relation between the frequency of cooperators and the dominant group size is found.

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“…In the study of opinion dynamics, the binary-choice voter model and the Hegselmann-Krause model represent two distinctive kinds of opinion formation processes [23,24,25,26,27,28]. In the voter model, an individual's opinion has two possible states, labelled +1 and −1 respectively.…”

Section: Introductionmentioning

confidence: 99%

A generalized voter model with time-decaying memory on a multilayer network

Liu

Chen

et al. 2016

Physica A: Statistical Mechanics and its Applications

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By incorporating a multilayer network and time-decaying memory into the original voter model, the coupled effects of spatial and temporal cumulation of peer pressure on consensus are investigated. Heterogeneity in peer pressure and time-decaying mechanism are both found to be detrimental to consensus. The transition points, below which a consensus can always be reached and above which two opposed opinions are more likely to coexist, are found. A mean-field analysis indicates that the phase transitions in the present model are governed by the cumulative influence of peer pressure and the updating threshold. A functional relation between the consensus threshold and the decaying rate of the influence of peer pressure is found. As to the time to reach a consensus, it is governed by the coupling of the memory length and the decaying rate. An intermediate decaying rate may lead to much lower time to reach a consensus.

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Evolutionary Dynamics in Opinion Formation Model With Coupling of Social Communities

Cited by 6 publications

References 65 publications

Deffuant model of opinion formation in one-dimensional multiplex networks

Deffuant model of opinion formation in one-dimensional multiplex networks

A generalized public goods game with coupling of individual ability and project benefit

A generalized voter model with time-decaying memory on a multilayer network

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