We study a model of multi-player communication. Privately informed decision makers have
different preferences about the actions they take, and communicate to influence each
othersʼ actions in their favor. We prove that the equilibrium capability of any player to send
a truthful message to a set of players depends not only on the preference composition of
those players, but also on the number of players truthfully communicating with each one of
them. We establish that the equilibrium welfare depends not only on the number of truthful …