Discontinuous phase transition in an open-ended Naming Game

Abstract

In this work we study on a 2-dimensional 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 all along 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 ${\sigma }_c\approx 25.6$, 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.

arXiv comment13 pages, 6 figures, to appear in JSTAT

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• Finite-size scaling for discontinuous nonequilibrium phase transitions
• Robustness of cultural communities in an open-ended Axelrod's model
• A Bird's-Eye View of Naming Game Dynamics: From Trait Competition to Bayesian Inference
• Finite size scaling analysis of a nonequilibrium phase transition in the naming game model
• A simple mechanism leading to first-order phase transitions in a model of tax evasion
• Discontinuous transitions can survive to quenched disorder in a 2-dimensional nonequilibrium system
• Exploring the onset of collective motion in self-organised trails of social organisms
• Polarization inhibits the phase transition of Axelrod's model