Proceedings of the 2017 International Conference on Applied Mathematics, Modeling and Simulation (AMMS 2017)

The Consensus Formation in the Naming Game on Spatial Networks

Authors
Yiwei Liu, Lin Feng, Qiuhui Pan, Linghui Tong, Kaiyu Zhan
Corresponding Author
Yiwei Liu
Available Online November 2017.
DOI
10.2991/amms-17.2017.58How to use a DOI?
Keywords
naming game; interacting agent models; spatial networks
Abstract

The NG model is a model for the dissemination of opinions, focusing on the dissemination of mainstream opinions and how individuals move towards consensus in the adoption of a single opinion through discussion. This is a multi-individual model that uses exchange and negotiation between neighbors to share ideas, performing naming games without any central control on spatial networks. we consider the geometric structure in the two dimensions. In a L*L spatial grids, every grid represents an agent which owns his vocabulary, and every agent updates his vocabulary in terms of the word received from his neighbor. Finally all agents through the process of reaching an agreement. The agreement process can be divided into 3 stages. Firstly, the total number of words drop quickly and about 10 words left, and the remain words form several clusters, and the area of the clusters are almost the same. The adjacent agents in the same cluster have the same word. Secondly, the clusters mutually annex with the number of words slow decreasing. Because the word with the biggest area cannot gain momentum in the competition with other words with the similar area, the word with biggest area will be varying all the time. Thirdly, one area of word surpasses 50 percent and this area will be expanding continuously until reaching an agreement.

Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2017 International Conference on Applied Mathematics, Modeling and Simulation (AMMS 2017)
Series
Advances in Intelligent Systems Research
Publication Date
November 2017
ISBN
10.2991/amms-17.2017.58
ISSN
1951-6851
DOI
10.2991/amms-17.2017.58How to use a DOI?
Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Yiwei Liu
AU  - Lin Feng
AU  - Qiuhui Pan
AU  - Linghui Tong
AU  - Kaiyu Zhan
PY  - 2017/11
DA  - 2017/11
TI  - The Consensus Formation in the Naming Game on Spatial Networks
BT  - Proceedings of the 2017 International Conference on Applied Mathematics, Modeling and Simulation (AMMS 2017)
PB  - Atlantis Press
SP  - 259
EP  - 262
SN  - 1951-6851
UR  - https://doi.org/10.2991/amms-17.2017.58
DO  - 10.2991/amms-17.2017.58
ID  - Liu2017/11
ER  -