Experiments versus distributions of posteriors

Stefan Terstiege, Cédric Wasser

Research output: Working paper / PreprintWorking paper


A fundamental result in Bayesian persuasion and information design states that a distribution of posterior beliefs can be induced by an experiment if and only if the posterior beliefs average to the prior belief. We present a general version of this result that applies to infinite state and signal spaces.
Original languageEnglish
Publication statusPublished - 19 Nov 2022

Publication series

SeriesSSRN Working papers

JEL classifications

  • d81 - Criteria for Decision-Making under Risk and Uncertainty
  • d83 - "Search; Learning; Information and Knowledge; Communication; Belief"


  • experiments
  • Bayesian persuasion
  • information design

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