We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Social opinion dynamics is not chaotic.
- Authors
Lim, Chjan; Zhang, Weituo
- Abstract
Motivated by the research on social opinion dynamics over large and dense networks, a general framework for verifying the monotonicity property of multi-agent dynamics is introduced. This allows a derivation of sociologically meaningful sufficient conditions for monotonicity that are tailor-made for social opinion dynamics, which typically have high nonlinearity. A direct consequence of monotonicity is that social opinion dynamics is nonchaotic. A key part of this framework is the definition of a partial order relation that is suitable for a large class of social opinion dynamics such as the generalized naming games. Comparisons are made to previous techniques to verify monotonicity. Using the results obtained, we extend many of the consequences of monotonicity to this class of social dynamics, including several corollaries on their asymptotic behavior, such as global convergence to consensus and tipping points of a minority fraction of zealots or leaders.
- Subjects
SOCIAL dynamics; MATHEMATICS; FORCE &; energy; STOCHASTIC convergence; SOCIAL theory
- Publication
International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics, 2016, Vol 30, Issue 15, p-1
- ISSN
0217-9792
- Publication type
Article
- DOI
10.1142/S0217979215410064