Econometrica

Journal Of The Econometric Society

An International Society for the Advancement of Economic
Theory in its Relation to Statistics and Mathematics

Edited by: Guido W. Imbens • Print ISSN: 0012-9682 • Online ISSN: 1468-0262

Econometrica: Nov, 2017, Volume 85, Issue 6

Persuasion of a Privately Informed Receiver

https://doi.org/10.3982/ECTA13251
p. 1949-1964

Anton Kolotilin, Tymofiy Mylovanov, Andriy Zapechelnyuk, Ming Li

We study persuasion mechanisms in linear environments. A receiver has a private type and chooses between two actions. A sender designs a persuasion mechanism or an experiment to disclose information about a payoff‐relevant state. A persuasion mechanism conditions information disclosure on the receiver's report about his type, whereas an experiment discloses information independent of the receiver's type. We establish the equivalence of implementation by persuasion mechanisms and by experiments, and characterize optimal persuasion mechanisms.


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Supplemental Material

Supplement to "Persuasion of a Privately Informed Receiver"

In this Appendix, we allow the receiver to make a choice among multiple actions. We characterize the implementable receiver's interim utilities and show that the sender can generally implement a strictly larger set of the receiver's interim utilities by persuasion mechanisms than by experiments. We also formulate the sender's optimization problem and show that the sender can achieve a strictly higher expected utility by persuasion mechanisms than by experiments.

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