## Electronic Journal of Probability

### The iPod Model

Daniel Lanoue

#### 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.

#### Article information

Source
Electron. J. Probab., Volume 20 (2015), paper no. 64, 20 pp.

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

https://projecteuclid.org/euclid.ejp/1465067170

Digital Object Identifier
doi:10.1214/EJP.v20-3559

Mathematical Reviews number (MathSciNet)
MR3361252

Zentralblatt MATH identifier
1321.60212

Rights

#### Citation

Lanoue, Daniel. The iPod Model. Electron. J. Probab. 20 (2015), paper no. 64, 20 pp. doi:10.1214/EJP.v20-3559. https://projecteuclid.org/euclid.ejp/1465067170

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