Bayesian Persuasion with Costly Messages

54 Pages Posted: 2 Jan 2019 Last revised: 15 Jan 2021

See all articles by Anh Nguyen

Anh Nguyen

Carnegie Mellon University - David A. Tepper School of Business; Columbia University, Graduate School of Arts and Sciences, Department of Economics, Students

Teck Yong Tan

University of Rochester - Simon Business School

Date Written: November 1, 2019

Abstract

We study a model of Bayesian persuasion in which the Sender publicly designs a signal structure, privately observes the signal realization and then reports a message to the Receiver at a cost that depends on the signal realization. We provide sufficient conditions for full information revelation by the Sender, and these conditions are satisfied under many commonly studied communication games. Under these conditions, the Sender's (lack of) commitment in the persuasion problem is quantified as a communication cost to sustain the chosen belief distribution. The value of persuasion is shown to be the Sender's utility under his most preferred equilibrium within the set of equilibria with full information revelation in the given communication game. We apply this approach to study test design and a lobbyist's incentive to generate and truthfully report new information to policy-makers.

Keywords: Bayesian persuasion, costly messages, partial commitment

JEL Classification: D83, D82, D72, M37

Suggested Citation

Nguyen, Anh and Nguyen, Anh and Tan, Teck Yong, Bayesian Persuasion with Costly Messages (November 1, 2019). Available at SSRN: https://ssrn.com/abstract=3298275 or http://dx.doi.org/10.2139/ssrn.3298275

Anh Nguyen

Columbia University, Graduate School of Arts and Sciences, Department of Economics, Students ( email )

New York, NY
United States

HOME PAGE: http://www.columbia.edu/~ahn2114/

Carnegie Mellon University - David A. Tepper School of Business ( email )

5000 Forbes Avenue
Pittsburgh, PA 15213-3890
United States
412-268-6191 (Phone)

HOME PAGE: http://https://www.andrew.cmu.edu/user/anhnguye/

Teck Yong Tan (Contact Author)

University of Rochester - Simon Business School ( email )

Rochester, NY 14627
United States

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