In-depth analysis of the Naming Game dynamics: the homogeneous mixing case

TL;DR

This paper provides a detailed analysis of the Naming Game model's dynamics in a homogeneous mixing setting, combining numerical simulations and analytical methods to deepen understanding of language emergence.

Contribution

It offers a comprehensive review and new insights into the dynamics of the Naming Game, enhancing understanding of language evolution models.

Findings

Detailed characterization of Naming Game dynamics

Analytical and numerical validation of results

Enhanced understanding of language emergence processes

Abstract

Language emergence and evolution has recently gained growing attention through multi-agent models and mathematical frameworks to study their behavior. Here we investigate further the Naming Game, a model able to account for the emergence of a shared vocabulary of form-meaning associations through social/cultural learning. Due to the simplicity of both the structure of the agents and their interaction rules, the dynamics of this model can be analyzed in great detail using numerical simulations and analytical arguments. This paper first reviews some existing results and then presents a new overall understanding.