Volume 111, Number 5, September 2015
|Number of page(s)||6|
|Section||Interdisciplinary Physics and Related Areas of Science and Technology|
|Published online||23 September 2015|
The value of conflict in stable social networks
1 Center for Nonlinear Science, University of North Texas - P.O. Box 311427, Denton, TX 76203-1427, USA
2 Faculty of Science and Technology, Chiang Mai Rajabhat University - 202 Chang Phuak Road, Muang, Chiang Mai 50300, Thailand
3 Army Research Laboratory - 2800 Powder Mill Road, Adelphi, MD 20783, USA
4 Information Science Directorate, Army Research Office - Research Triangle Park, NC 27709, USA
Received: 18 July 2015
Accepted: 2 September 2015
A cooperative network model of sociological interest is examined to determine the sensitivity of the global dynamics to having a fraction of the members behaving uncooperatively, that is, being in conflict with the majority. We study a condition where in the absence of these uncooperative individuals, the contrarians, the control parameter exceeds a critical value and the network is frozen in a state of consensus. The network dynamics change with variations in the percentage of contrarians, resulting in a balance between the value of the control parameter and the percentage of those in conflict with the majority. We show that, as a finite-size effect, the transmission of information from a network B to a network A, with a small fraction of lookout members in A who adopt the behavior of B, becomes maximal when both networks are assigned the same critical percentage of contrarians.
PACS: 87.19.lj – Neuronal network dynamics / 02.50.Le – Decision theory and game theory / 87.23.Ge – Dynamics of social systems
© EPLA, 2015
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