[1304.7401] Analytic Treatment of Tipping Points for Social Consensus in Large Random Networks

of an uncorrelated network. This result is in good agreement with the numerical results. We also analyze the extended NG model that allows for presence of committed nodes and show that there is a shift of the tipping point for social consensus in sparse networks."/>

of an uncorrelated network. This result is in good agreement with the numerical results. We also analyze the extended NG model that allows for presence of committed nodes and show that there is a shift of the tipping point for social consensus in sparse networks." />

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Computer Science > Social and Information Networks

arXiv:1304.7401 (cs)

[Submitted on 27 Apr 2013]

Title:Analytic Treatment of Tipping Points for Social Consensus in Large Random Networks

Authors:Weituo Zhang, Chjan Lim, Boleslaw K. Szymanski<br>View a PDF of the paper titled Analytic Treatment of Tipping Points for Social Consensus in Large Random Networks, by Weituo Zhang and 2 other authors

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Abstract:We introduce a homogeneous pair approximation to the Naming Game (NG) model by deriving a six-dimensional ODE for the two-word Naming Game. Our ODE reveals the change in dynamical behavior of the Naming Game as a function of the average degree of an uncorrelated network. This result is in good agreement with the numerical results. We also analyze the extended NG model that allows for presence of committed nodes and show that there is a shift of the tipping point for social consensus in sparse networks.

Comments:<br>7 pages, 5 figures

Subjects:

Social and Information Networks (cs.SI); Physics and Society (physics.soc-ph)

Cite as:<br>arXiv:1304.7401 [cs.SI]

(or<br>arXiv:1304.7401v1 [cs.SI] for this version)

https://doi.org/10.48550/arXiv.1304.7401

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arXiv-issued DOI via DataCite

Journal reference:<br>Physical Review E, 86(6) 061134 (2012)

Related DOI:

https://doi.org/10.1103/PhysRevE.86.061134

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Submission history<br>From: Boleslaw Szymanski [view email]<br>[v1]<br>Sat, 27 Apr 2013 19:47:15 UTC (48 KB)

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View a PDF of the paper titled Analytic Treatment of Tipping Points for Social Consensus in Large Random Networks, by Weituo Zhang and 2 other authors<br>View PDF<br>TeX Source

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