Consensus formation on a simplicial complex of opinions

Slobodan Maletić and Milan Rajković

Physica A: Statistical Mechanics and its Applications, 2014, vol. 397, issue C, 111-120

Abstract: Geometric realization of an opinion is considered as a simplex and the opinion space of a group of individuals is a simplicial complex whose topological features are monitored in the process of opinion formation. The agents are physically located at the nodes of a scale-free and a random network. Social interactions include all concepts of social dynamics present in the mainstream models, augmented by four additional interaction mechanisms which depend on the local properties of opinions and their overlapping properties. The results pertaining to the formation of consensus are of particular interest. An analogy with quantum mechanical pure states is established through the application of the high-dimensional combinatorial Laplacian.

Keywords: Opinion formation; Complex networks; Simplicial complex; Topology (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:397:y:2014:i:c:p:111-120

DOI: 10.1016/j.physa.2013.12.001

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