Communication Learning in Social Networks: Finite Population and the Rates

Following the Bayesian communication learning paradigm, we propose a finite population learning concept to capture the level of information aggregation in any given network, where agents are allowed to communicate with neighbors repeatedly before making a single decision. This concept helps determine the occurrence of effective information aggregation in a finite network and reveals explicit interplays among parameters. It also enables meaningful comparative statics regarding the effectiveness of information aggregation in networks. Moreover, it offers a solid foundation to address, with a new perfect learning concept, long run dynamics of learning behavior and the associated learning rates as population diverges. Our conditions for the occurrence of finite population learning and perfect learning in communication networks are very tractable and transparent.