The present paper extends the standard model of pairwise communication among bayesian agents to cases where the structure of the communication protocol is not commonly known. We show that, even under standard strict conditions on the structure of the protocols and the nature of the transmitted signals, a consensus may never be reached if very little asymmetric information about the protocol is introduced.
Tsakas, E., & voorneveld, M. (2011). On concensus through communication without a commonly known protocol. Journal of Mathematical Economics, 47(6), 733-739. https://doi.org/10.1016/j.jmateco.2011.10.003