  In this work we study of competitive situations among users of a set of
global resources. More precisely we study the effect of cost policies used by
these resources in the convergence time to a pure Nash equilibrium. The work is
divided in two parts. In the theoretical part we prove lower and upper bounds
on the convergence time for various cost policies. We then implement all the
models we study and provide some experimental results. These results follows
the theoretical with one exception which is the most interesting among the
experiments. In the case of coalitional users the theoretical upper bound is
pseudo-polynomial to the number of users but the experimental results shows
that the convergence time is polynomial.
