In-depth analysis of the Naming Game dynamics: the homogeneous mixing case
arXiv:0803.0398 · doi:10.1142/S0129183108012522
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.
30 pages, 19 figures (few in reduced definition). In press in IJMPC
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Cited by in corpus (16)
- Social physics
- Influence of geography on language competition
- Role of feedback and broadcasting in the naming game
- Cooperation, Norms, and Revolutions: A Unified Game-Theoretical Approach
- Social Influencing and Associated Random Walk Models: Asymptotic Consensus Times on the Complete Graph
- A gentle introduction to the minimal Naming Game
- Aging in language dynamics
- Propensity and stickiness in the naming game: Tipping fractions of minorities
- General three-state model with biased population replacement: Analytical solution and application to language dynamics
- Conventions spreading in open-ended systems
- Discontinuous phase transition in an open-ended Naming Game
- A Bird's-Eye View of Naming Game Dynamics: From Trait Competition to Bayesian Inference
- Solution of the Voter Model by Spectral Analysis
- Disassortative mixing accelerates consensus in the naming game
- Viability of an elementary syntactic structure in a population playing Naming Games
- Resource-Mediated Consensus Formation