We study a model of opinion exchange in social networks where a state of the world is realized and every agent receives a zero-mean noisy signal of the realized state. It is known from Golub and Jackson that under DeGroot \cite{degroot1974reaching} dynamics agents reach a consensus that is close...

The main purpose of this paper is to provide a simple criterion enabling to conclude that two agents do not share a common prior. The criterion is simple, as it does not require information about the agents' knowledge and beliefs, but rather only the record of a dialogue between the agents. In...

This review presents the well-known notion of merging, introduced by Blackwell and Dubins, and its later generalizations. While the original concept of merging refers to all future events, the two new concepts, of weak and of almost weak merging, are concerned only with forecasting near-future...