  Numerical simulations are reported on the Bonabeau model on a fully connected
graph, where spatial degrees of freedom are absent. The control parameter is
the memory factor f. The phase transition is observed at the dispersion of the
agents power h_i. The critical value f_C shows a hysteretic behavior with
respect to the initial distribution of h_i. f_C decreases with the system size;
this decrease can be compensated by a greater number of fights between a global
reduction of the distribution width of h_i. The latter step is equivalent to a
partial forgetting.
