Discontinuous phase transition in an open-ended Naming Game

Authored by Nuno Crokidakis, Edgardo Brigatti

Date Published: 2015

DOI: 10.1088/1742-5468/2015/01/p01019

Sponsors: Universidade Federal Fluminense

Platforms: No platforms listed

Model Documentation: Other Narrative

Model Code URLs: Model code not found

Abstract

In this work we study on a 2D square lattice a recent version of the Naming Game, an agent-based model used for describing the emergence of linguistic structures. The system is open-ended and agents can invent new words throughout the evolution of the game, picking them up from a pool characterised by a Gaussian distribution with standard deviation sigma. The model displays a nonequilibrium phase transition at a critical point sigma(c) approximate to 25.6, which separates an absorbing consensus state from an active fragmented state where agents continuously exchange different words. The finite-size scaling analysis of our simulations strongly suggests that the phase transition is discontinuous.
Tags
Dynamics emergence systems Model Nonequilibrium Universality