(Versión en español aquí)
In previous posts of this blog (here, and here) we have already discussed the effect of reputation and dynamic links on cooperation. Recently, we have performed a series of experiments to explore the effect of information, together with the possibility of changing partners, on the cooperative behavior. In this post, I report on a theoretical study: Leave and let leave: A sufficient condition to explain the evolutionary emergence of cooperation, by Luis Izquierdo, Segismundo Izquierdo and Fernando Vega-Redondo, Journal of Economic Dynamics and Control , 4691–113 (2014). In this study, the authors isolate the effect of conditional dissociation (that is, the possibility of breaking a partnership based on the partner’s behavior) by proposing a model that they solve both analytically, through a mean-field approximation, and numerically. They show that the conditional dissociation mechanism is enough to sustain a significant level of cooperation if the expected lifetime of individuals is sufficiently long.