  The public transportation system of Cuernavaca, Mexico, exhibits random
matrix theory statistics [1]. 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.
