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.
Cite
@article{arxiv.1402.4216,
title = {The iPod Model},
author = {Daniel Lanoue},
journal= {arXiv preprint arXiv:1402.4216},
year = {2014}
}