A Self-Organized Tower of Babel: Diversification through Competition

Abstract

We introduce a minimal evolutionary model to show how local cooperation and global competition can create a transition to the diversity of communities such as linguistic groups. By using a lattice model with high-dimensional state agents and evolution under a fitness that depends on an agent's local neighborhood and global dissimilarity, clusters of diverse communities with different fitness are organized by equalizing the finesses on the boundaries, where their numbers and sizes are robust to parameters. We observe successive transitions over quasi-stationary states, as triggered by the emergence of new communities on the boundaries. Our abstract framework provides a simple mechanism for the diversification of culture.

Main: 6 pages, 4 figures. Supplement: 7 pages, 9 figures

References in corpus (12)

• Statistical Mechanics of Community Detection
• Detecting fuzzy community structures in complex networks with a Potts model
• Nonequilibrium phase transition in a model for social influence
• Global culture: A noise induced transition in finite systems
• Expectation bubbles in a spin model of markets: Intermittency from frustration across scales
• Ordering dynamics with two non-excluding options: Bilingualism in language competition
• Consensus and ordering in language dynamics
• Theoretical model for the evolution of the linguistic diversity
• Chaotic turnover of rare and abundant species in a strongly interacting model community
• Bit-strings and other modifications of Viviane model for language competition
• Information spreading and development of cultural centers
• Modelling Soil as a Living System: Feedback between Microbial Activity and Spatial Structure