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arXiv · 1412.2994

Discontinuous phase transition in an open-ended Naming Game

Nuno Crokidakis·Edgardo Brigatti
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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 $σ$. The model displays a nonequilibrium phase transition at a critical point $σ_{c}\approx 25.6$, 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.

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Nuno Crokidakis, Edgardo Brigatti. 2014-12-09. Discontinuous phase transition in an open-ended Naming Game. https://doi.org/10.1088/1742-5468%2F2015%2F01%2Fp01019

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