Open Access
2015 The iPod Model
Daniel Lanoue
Author Affiliations +
Electron. J. Probab. 20: 1-20 (2015). DOI: 10.1214/EJP.v20-3559

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.

Citation

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Daniel Lanoue. "The iPod Model." Electron. J. Probab. 20 1 - 20, 2015. https://doi.org/10.1214/EJP.v20-3559

Information

Accepted: 12 June 2015; Published: 2015
First available in Project Euclid: 4 June 2016

zbMATH: 1321.60212
MathSciNet: MR3361252
Digital Object Identifier: 10.1214/EJP.v20-3559

Subjects:
Primary: 60K35

Keywords: Markov chains , Stochastic Social Dynamics

Vol.20 • 2015
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