What is the Entropy of a Social Organization?
arXiv:1905.09772 · doi:10.3390/e21090901
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.
arXiv comment14 pages, 3 figures, 3 Appendices
References in corpus (16)
- The structure and function of complex networks
- Cooperative Game Theory Approaches for Network Partitioning
- Evolution of networks
- What's in a crowd? Analysis of face-to-face behavioral networks
- The statistical mechanics of networks
- The entropy of network ensembles
- The entropy of randomized network ensembles
- When is a Network a Network? Multi-Order Graphical Model Selection in Pathways and Temporal Networks
- Entropy of dynamical social networks
- Reproducing scientists' mobility: A data-driven model
- Exponential-Family Random Graph Models for Rank-Order Relational Data
- Sampling motif-constrained ensembles of networks
- Entropy Measures of Human Communication Dynamics
- Entropy of Spatial Network Ensembles
- Generalized Hypergeometric Ensembles: Statistical Hypothesis Testing in Complex Networks
- How do OSS projects change in number and size? A large-scale analysis to test a model of project growth
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