Dynamics of Social Diversity

Details Dynamics of Social Diversity Dynamics of Social Diversity

2005-03-17

arxiv.org/abs/cond-mat/0503451v1

J. Stat. Mech. L11002 (2005)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures

Scientific paper

10.1088/1742-5468/2005/11/L11002

We introduce and solve analytically a model for the development of disparate social classes in a competitive population. Individuals advance their fitness by competing against those in lower classes, and in parallel, individuals decline due to inactivity. We find a phase transition from a homogeneous, single-class society to a hierarchical, multi-class society. In the latter case, a finite fraction of the population still belongs to the lower class, and the rest of the population is in the middle class, on top of which lies a tiny upper class. While the lower class is static and poor, the middle class is upwardly mobile.

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