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Econometrica Vol. 87 No. 6 2019

Strategic Communication With Minimal Verification

Gabriel Carroll1; Georgy Egorov2,3

1 Department of Economics, Stanford University · 2 Kellogg School of Management, Northwestern University · 3 NBER

Abstract

A receiver wants to learn multidimensional information from a sender, and she has the capacity to verify just one dimension. The sender's payoff depends on the belief he induces, via an exogenously given monotone function. We show that by using a randomized verification strategy, the receiver can learn the sender's information fully in many cases. We characterize exactly when it is possible to do so. In particular, when the exogenous payoff function is submodular, we can explicitly describe a full‐learning mechanism; when it is (strictly) supermodular, full learning is not possible. In leading cases where full learning is possible, it can be attained using an indirect mechanism in which the sender chooses the probability of verifying each dimension.

DOI
10.3982/ecta15712
Volume
87
Issue
6
Pages
1867-1892
Language
en
Sources
bibtex:phds-export.bib openalex crossref

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