Special attention network

J.O. Indekeu

Physica A: Statistical Mechanics and its Applications, 2004, vol. 333, issue C, 461-464

Abstract: In this Note a social network model for opinion formation is proposed in which a person connected to q partners pays an attention 1/q to each partner. The mutual attention between two connected persons i and j is taken equal to the geometric mean 1/qiqj. Opinion is represented as usual by an Ising spin s=±1 and mutual attention is given through a two-spin coupling Jij=JQ/qiqj, Q being the average connectivity in the network. Connectivity diminishes attention and only persons with low connectivity can pay special attention to each other leading to a durable common (or opposing) opinion. The model is solved in “mean-field” approximation and a critical “temperature” Tc proportional to JQ is found, which is independent of the number of persons N, for large N.

Keywords: Sociophysics; Random networks; Opinion formation; Ising model (search for similar items in EconPapers)
Date: 2004
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:333:y:2004:i:c:p:461-464

DOI: 10.1016/j.physa.2003.10.081

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