English

What is the Entropy of a Social Organization?

Physics and Society 2019-09-18 v1 Social and Information Networks

Abstract

We quantify a social organization's potentiality, that is its ability to attain different configurations. The organization is represented as a network in which nodes correspond to individuals and (multi-)edges to their multiple interactions. Attainable configurations are treated as realizations from a network ensemble. To encode interaction preferences between individuals, we choose the generalized hypergeometric ensemble of random graphs, which is described by a closed-form probability distribution. From this distribution we calculate Shannon entropy as a measure of potentiality. This allows us to compare different organizations as well different stages in the development of a given organization. The feasibility of the approach is demonstrated using data from 3 empirical and 2 synthetic systems.

Keywords

Cite

@article{arxiv.1905.09772,
  title  = {What is the Entropy of a Social Organization?},
  author = {Christian Zingg and Giona Casiraghi and Giacomo Vaccario and Frank Schweitzer},
  journal= {arXiv preprint arXiv:1905.09772},
  year   = {2019}
}

Comments

14 pages, 3 figures, 3 Appendices