  We discuss the behavior of two magnitudes, physical complexity and mutual
information function of the outcome of a model of heterogeneous, inductive
rational agents inspired in the El Farol Bar problem and the Minority Game. The
first is a measure rooted in Kolmogorov-Chaitin theory and the second one a
measure related with information entropy of Shannon.
  We make extensive computer simulations, as result of which, we propose an
ansatz for physical complexity and establish the dependence of exponent of that
ansatz from the parameters of the model. We discuss the accuracy of our results
and the relationship with the behavior of mutual information function as a
measure of time correlations of agents choice.
