"Highlights

• We consider a fundamental result in Bayesian persuasion and information design.
• A distribution of posteriors is induced by some experiment iff its mean is the prior.
• We present a general version that applies to infinite state and signal spaces.

Abstract
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."

Read more: Mathematical Social Sciences, Volume 125, September 2023, Pages 58-60