Dynamics of Social Diversity

Abstract

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.

4 pages, 4 figures

References in corpus (9)

• Community structure in social and biological networks
• Simulating Dynamical Features of Escape Panic
• Theory of Phase Ordering Kinetics
• Transmission of Information and Herd Behavior: an Application to Financial Markets
• Interacting Individuals Leading to Zipf's Law
• Bifurcations and Patterns in Compromise Processes
• Simulation of Consensus Model of Deffuant et al on a Barabasi-Albert Network
• Scaling Theory for Migration-Driven Aggregate Growth
• Extremal properties of random trees

Cited by in corpus (18)

• Statistical physics of social dynamics
• Scaling in Tournaments
• Emergence of Hierarchy in Networked Endorsement Dynamics
• On The Structure of Competitive Societies
• Mass Media Influence Spreading in Social Networks with Community Structure
• Mean field model of a game for power
• Exact encounter times for many random walkers on regular and complex networks
• "Antiferromagnetism" in social relations and Bonabeau model
• Dynamics of Multi-Player Games
• Talent and experience shape competitive social hierarchies
• Nonequilibrium Opinion Spreading on 2D Small-World Networks
• A Toy Model of the Rat Race
• "Clumpiness" Mixing in Complex Networks
• Discrete Analog of the Burgers Equation
• A piecewise linear model of self-organized hierarchy formation
• Dynamics of Three Agent Games
• Emergence of social hierarchies in a society with two competitive groups
• Hysteresis Effects in Social Behavior with Parasitic Infection