Bonabeau model on a fully connected graph

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<Subscript>i</Subscript>. The critical value f<Subscript>C</Subscript> shows a hysteretic behavior with respect to the initial distribution of h<Subscript>i</Subscript>. f<Subscript>C</Subscript> 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<Subscript>i</Subscript>. The latter step is equivalent to a partial forgetting. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006