  A multiagent based model for a system of cooperative agents aiming at growth
is proposed. This is based on a set of generalized Verhulst-Lotka-Volterra
differential equations. In this study, strong cooperation is allowed among
agents having similar sizes, and weak cooperation if agent have markedly
different "sizes", thus establishing a peer-to-peer modulated interaction
scheme. A rigorous analysis of the stable configurations is presented first
examining the fixed points of the system, next determining their stability as a
function of the model parameters. It is found that the agents are
self-organizing into clusters. Furthermore, it is demonstrated that, depending
on parameter values, multiple stable configurations can coexist. It occurs that
only one of them always emerges with probability close to one, because its
associated attractor dominates over the rest. This is shown through numerical
integrations and simulations,after analytic developments. In contrast to the
competitive case, agents are able to increase their capacity beyond the
no-interaction case limit. In other words, when some collaborative partnership
among a relatively small number of partners takes place, all agents act in good
faith prioritizing the common good, whence receiving a mutual benefit allowing
them to surpass their capacity.
