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The iPod Model

2014/02/18 by Daniel Lanoue, Lanoue, Daniel
Engineering · #FOS: Mathematics #ICT Impact and Policies #Probability (math.PR)

paper · pdf · doi:10.48550/arxiv.1402.4216

openalex publication_date 2014/02/18 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28

Abstract

We introduce a Voter Model variant, inspired by social evolution of musical preferences. In our model, agents have preferences over a set of songs and upon meeting update their own preferences incrementally towards those of the other agents they meet. Using the spectral gap of an associated Markov chain, we give a geometry dependent result on the asymptotic consensus time of the model.

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