The Value of Conflict in Stable Social Networks

Abstract

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 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.

5 pages, 3 figures, 1 supplement

References in corpus (8)

• Emergent complex neural dynamics
• Mutual information in random Boolean models of regulatory networks
• Dynamics of Non-Conservative Voters
• Chaotic, staggered and polarized dynamics in opinion forming: the contrarian effect
• Impact of contrarians and intransigents in a kinetic model of opinion dynamics
• Mutual Information as a Tool for Identifying Phase Transitions in Dynamical Complex Systems With Limited Data
• Some new results on one-dimensional outflow dynamics
• Irrelevance of information outflow in opinion dynamics models

Cited by in corpus (1)

• Non-Ergodic Complexity Management