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Language emergence and evolution has recently gained growing attentionthrough multi-agent models and mathematical frameworks to study their behavior.Here we investigate further the Naming Game, a model able to account for theemergence of a shared vocabulary of form-meaning associations throughsocial/cultural learning. Due to the simplicity of both the structure of theagents and their interaction rules, the dynamics of this model can be analyzedin great detail using numerical simulations and analytical arguments. Thispaper first reviews some existing results and then presents a new overallunderstanding.

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