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Tipping diffusivity in information accumulation systems: more links, less consensus

Abstract

Assume two different communities each of which maintain their respective opinions mainly because of the weak interaction between them. In such a case, it is an interesting problem to find the necessary strength of inter-community interaction in order for the two communities to reach a consensus. In this paper, the information accumulation system (IAS) model is applied to investigate the problem. With the application of the IAS model, the opinion dynamics of the two-community problem is found to belong to a wider class of two-species problems appearing in population dynamics or in the competition of two languages, for all of which the governing equations can be described in terms of coupled logistic maps. Tipping diffusivity is defined as the maximal inter-community interaction such that the two communities maintain different opinions. For a problem with a simple community structure and homogeneous individuals, the tipping diffusivity is calculated theoretically. As a conclusion of the paper, the convergence of the two communities to the same value is less possible the more overall interaction, intra-community and inter-community, takes place. This implies, for example, that the increase in the interaction between individuals caused by the development of modern communication tools, such as Facebook and Twitter,  More>>
Authors:
Shin, J K; [1]  Lorenz, J [2] 
  1. School of Mechanical Engineering, Yeungnam University, Kyongsan (Korea, Republic of)
  2. Chair of Systems Design, ETH Zurich, Kreuzplatz 5, 8032 Z├╝rich (Switzerland)
Publication Date:
Jun 01, 2010
Product Type:
Journal Article
Resource Relation:
Journal Name: Journal of Statistical Mechanics; Journal Volume: 2010; Journal Issue: 06; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ATTRACTORS; BUILDUP; CONVERGENCE; DATA TRANSMISSION; MATHEMATICAL MODELS; MATHEMATICAL SOLUTIONS
OSTI ID:
22295810
Country of Origin:
United Kingdom
Language:
English
Other Identifying Numbers:
Journal ID: ISSN 1742-5468; Other: PII: S1742-5468(10)56479-3; TRN: GB13H5414001981
Availability:
Available from http://dx.doi.org/10.1088/1742-5468/2010/06/P06005
Submitting Site:
INIS
Size:
[15 page(s)]
Announcement Date:
Jan 17, 2015

Citation Formats

Shin, J K, and Lorenz, J. Tipping diffusivity in information accumulation systems: more links, less consensus. United Kingdom: N. p., 2010. Web. doi:10.1088/1742-5468/2010/06/P06005.
Shin, J K, & Lorenz, J. Tipping diffusivity in information accumulation systems: more links, less consensus. United Kingdom. doi:10.1088/1742-5468/2010/06/P06005.
Shin, J K, and Lorenz, J. 2010. "Tipping diffusivity in information accumulation systems: more links, less consensus." United Kingdom. doi:10.1088/1742-5468/2010/06/P06005. https://www.osti.gov/servlets/purl/10.1088/1742-5468/2010/06/P06005.
@misc{etde_22295810,
title = {Tipping diffusivity in information accumulation systems: more links, less consensus}
author = {Shin, J K, and Lorenz, J}
abstractNote = {Assume two different communities each of which maintain their respective opinions mainly because of the weak interaction between them. In such a case, it is an interesting problem to find the necessary strength of inter-community interaction in order for the two communities to reach a consensus. In this paper, the information accumulation system (IAS) model is applied to investigate the problem. With the application of the IAS model, the opinion dynamics of the two-community problem is found to belong to a wider class of two-species problems appearing in population dynamics or in the competition of two languages, for all of which the governing equations can be described in terms of coupled logistic maps. Tipping diffusivity is defined as the maximal inter-community interaction such that the two communities maintain different opinions. For a problem with a simple community structure and homogeneous individuals, the tipping diffusivity is calculated theoretically. As a conclusion of the paper, the convergence of the two communities to the same value is less possible the more overall interaction, intra-community and inter-community, takes place. This implies, for example, that the increase in the interaction between individuals caused by the development of modern communication tools, such as Facebook and Twitter, does not necessarily improve the tendency towards global convergence between different communities. If the number of internal links increases by a factor, the number of inter-community links must be increased by an even higher factor, in order for consensus to be the only stable attractor.}
doi = {10.1088/1742-5468/2010/06/P06005}
journal = {Journal of Statistical Mechanics}
issue = {06}
volume = {2010}
journal type = {AC}
place = {United Kingdom}
year = {2010}
month = {Jun}
}