1. A method for building at least two decision graphs for management of at least one applicative stream assigned to a terminal and set up between said terminal and a correspondent through at least one communications network, wherein said method comprises: a step of dynamically building, with a communications apparatus, at least one possible decision graph for said at least one applicative stream assigned to said terminal itself, said step being performed at least two times and comprising a step of exchanging at least one configuration message between at least two decision modules belonging to a determined set of decision modules.