Buses of Cuernavaca-an agent-based model for universal random matrix behavior minimizing mutual information

Authored by Piotr Warchol

Date Published: 2018

DOI: 10.1088/1751-8121/aac39d

Sponsors: Polish National Science Center

Platforms: No platforms listed

Model Documentation: Other Narrative

Model Code URLs: Model code not found

Abstract

The public transportation system of Cuernavaca, Mexico, exhibits random matrix theory statistics. In particular, the fluctuation of times between the arrival of buses on a given bus stop, follows the Wigner surmise for the Gaussian unitary ensemble. To model this, we propose an agent-based approach in which each bus driver tries to optimize his arrival time to the next stop with respect to an estimated arrival time of his predecessor. We choose a particular form of the associated utility function and recover the appropriate distribution in numerical experiments for a certain value of the only parameter of the model. We then investigate whether this value of the parameter is otherwise distinguished within an information theoretic approach and give numerical evidence that indeed it is associated with a minimum of averaged pairwise mutual information.

Tags

Mexico information theory games Random matrix theory Bus system of cuernavaca Beta-ensembles