Maël Le Treust

interaction seminar

Maël Le Treust

Université Paris Seine, Université Cergy-Pontoise
Persuasion with limited communication capacity

IBD Salle 16

Îlot Bernard du Bois - Salle 16

5-9 boulevard Maurice Bourdet
13001 Marseille

Jeudi 2 mai 2019| 12:00 - 13:15

Mathieu Faure : mathieu.faure[at]
Gaëtan Fournier : gaetan.fournier[at]


We consider a Bayesian persuasion problem where the persuader and the decision maker communicate through an imperfect channel which has a fixed and limited number of messages and is subject to exogenous noise. Imperfect communication entails a loss of payoff for the persuader. We establish an upper bound on the payoffs the persuader can secure by communicating through the channel. We also show that the bound is tight: if the persuasion problem consists of a large number of independent copies of the same base problem, then the persuader can achieve this bound arbitrarily closely by using strategies which tie all the problems together. We characterize this optimal payoff as a function of the information-theoretic capacity of the communication channel.

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