Eur. Phys. J. B 50, 195-198 (2006)
https://doi.org/10.1140/epjb/e2006-00059-3

Bonabeau model on a fully connected graph

¹ Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, al. Mickiewicza 30, 30059 Kraków, Poland
² Institute of Theoretical Physics, Cologne University, Zülpicher Str. 77, 50937 Köln, Germany

Corresponding author: ^a malarz@agh.edu.pl

Received: 5 September 2005
Revised: 19 November 2005
Published online: 16 February 2006

Abstract

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.