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The impact of variable commitment in the Naming Game on consensus formation

The Naming Game has proven to be an important model of opinion dynamics in complex networks. It is significantly enriched by the introduction of nodes committed to a single opinion. The resulting model is still simple but captures core concepts of opinion dynamics in networks. This model limitation...

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Autores principales: Niu, Xiang, Doyle, Casey, Korniss, Gyorgy, Szymanski, Boleslaw K.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group 2017
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5288711/
https://www.ncbi.nlm.nih.gov/pubmed/28150714
http://dx.doi.org/10.1038/srep41750
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author Niu, Xiang
Doyle, Casey
Korniss, Gyorgy
Szymanski, Boleslaw K.
author_facet Niu, Xiang
Doyle, Casey
Korniss, Gyorgy
Szymanski, Boleslaw K.
author_sort Niu, Xiang
collection PubMed
description The Naming Game has proven to be an important model of opinion dynamics in complex networks. It is significantly enriched by the introduction of nodes committed to a single opinion. The resulting model is still simple but captures core concepts of opinion dynamics in networks. This model limitation is rigid commitment which never changes. Here we study the effect that making commitment variable has on the dynamics of the system. Committed nodes are assigned a commitment strength, w, defining their willingness to lose (in waning), gain (for increasing) or both (in variable) commitment to an opinion. Such model has committed nodes that can stick to a single opinion for some time without losing their flexibility to change it in the long run. The traditional Naming Game corresponds to setting w at infinity. A change in commitment strength impacts the critical fraction of population necessary for a minority consensus. Increasing w lowers critical fraction for waning commitment but increases this fraction for increasing commitment. Further, we show that if different nodes have different values of w, higher standard deviation of w increases the critical fraction for waning commitment and decrease this fraction for increasing commitment.
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spelling pubmed-52887112017-02-06 The impact of variable commitment in the Naming Game on consensus formation Niu, Xiang Doyle, Casey Korniss, Gyorgy Szymanski, Boleslaw K. Sci Rep Article The Naming Game has proven to be an important model of opinion dynamics in complex networks. It is significantly enriched by the introduction of nodes committed to a single opinion. The resulting model is still simple but captures core concepts of opinion dynamics in networks. This model limitation is rigid commitment which never changes. Here we study the effect that making commitment variable has on the dynamics of the system. Committed nodes are assigned a commitment strength, w, defining their willingness to lose (in waning), gain (for increasing) or both (in variable) commitment to an opinion. Such model has committed nodes that can stick to a single opinion for some time without losing their flexibility to change it in the long run. The traditional Naming Game corresponds to setting w at infinity. A change in commitment strength impacts the critical fraction of population necessary for a minority consensus. Increasing w lowers critical fraction for waning commitment but increases this fraction for increasing commitment. Further, we show that if different nodes have different values of w, higher standard deviation of w increases the critical fraction for waning commitment and decrease this fraction for increasing commitment. Nature Publishing Group 2017-02-02 /pmc/articles/PMC5288711/ /pubmed/28150714 http://dx.doi.org/10.1038/srep41750 Text en Copyright © 2017, The Author(s) http://creativecommons.org/licenses/by/4.0/ This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/
spellingShingle Article
Niu, Xiang
Doyle, Casey
Korniss, Gyorgy
Szymanski, Boleslaw K.
The impact of variable commitment in the Naming Game on consensus formation
title The impact of variable commitment in the Naming Game on consensus formation
title_full The impact of variable commitment in the Naming Game on consensus formation
title_fullStr The impact of variable commitment in the Naming Game on consensus formation
title_full_unstemmed The impact of variable commitment in the Naming Game on consensus formation
title_short The impact of variable commitment in the Naming Game on consensus formation
title_sort impact of variable commitment in the naming game on consensus formation
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5288711/
https://www.ncbi.nlm.nih.gov/pubmed/28150714
http://dx.doi.org/10.1038/srep41750
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