English

Conventions spreading in open-ended systems

Physics and Society 2009-02-13 v1

Abstract

We introduce a simple open-ended model that describes the emergence of a shared vocabulary. The ordering transition toward consensus is generated only by an agreement mechanism. This interaction defines a finite and small number of states, despite each individual having the ability to invent an unlimited number of new words. The existence of a phase transition is studied by analyzing the convergence times, the cognitive efforts of the agents and the scaling behavior in memory and time

Keywords

Cite

@article{arxiv.0902.2184,
  title  = {Conventions spreading in open-ended systems},
  author = {E. Brigatti and I. Roditi},
  journal= {arXiv preprint arXiv:0902.2184},
  year   = {2009}
}

Comments

11 pages, 5 figures

R2 v1 2026-06-21T12:10:58.701Z