Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/296403 
Year of Publication: 
2023
Citation: 
[Journal:] Theoretical Economics [ISSN:] 1555-7561 [Volume:] 18 [Issue:] 1 [Year:] 2023 [Pages:] 15-36
Publisher: 
The Econometric Society, New Haven, CT
Abstract: 
Mean-preserving contractions are critical for studying Bayesian models of information design. We introduce the class of bi-pooling policies, and the class of bi-pooling distributions as their induced distributions over posteriors. We show that every extreme point in the set of all mean-preserving contractions of any given prior over an interval takes the form of a bi-pooling distribution. By implication, every Bayesian persuasion problem with an interval state-space admits an optimal bi-pooling distribution as a solution, and conversely, for every bi-pooling distribution, there is a Bayesian persuasion problem for which that distribution is the unique solution
Subjects: 
Bayesian persuasion
bi-pooling
extreme points
information disclosure
mean preserving contraction
price function
signaling
JEL: 
C72
D82
D83
Persistent Identifier of the first edition: 
Creative Commons License: 
cc-by-nc Logo
Document Type: 
Article

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