Monologues, dialogues, and common priors

A. Di Tillio, E. Lehrer, D. Samet

Research output: Contribution to journalArticlepeer-review


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 each stage of the dialogue, the agents tell each other the probability they ascribe to a fixed event and update their beliefs about the event. To characterize dialogues consistent with a common prior, we first study monologues, which are sequences of probabilities assigned by a single agent to a given event in an exogenous learning process. A dialogue is consistent with a common prior if and only if each selection sequence from the two monologues comprising the dialogue is itself a monologue.

Original languageEnglish
Pages (from-to)587-615
Number of pages29
JournalTheoretical Economics
Issue number2
StatePublished - May 2022


  • agreement
  • Bayesian dialogue
  • Bayesian monologue
  • D83
  • joint fluctuation
  • Learning processes
  • ratio variation


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