IN-DEPTH ANALYSIS OF THE NAMING GAME DYNAMICS: THE HOMOGENEOUS MIXING CASE

Andrea Baronchelli · Vittorio Loreto · Luc Steels

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Language and cultural evolution Language Development and Disorders Opinion Dynamics and Social Influence

Abstract

Language emergence and evolution have 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.

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1986Culture and the Evolutionary Process 1982Cultural transmission and evolution: A quantitative approach 1990The Asymptotic Theory of Extreme Order Statistics 1985Cultural Transmission and Evolution: A quantitative approach 1987Language and Problems of Knowledge 1999The evolution of language 1995A Self-Organizing Spatial Vocabulary 2006Sharp transition towards shared vocabularies in multi-agent systems

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