Elias Tsakas

Department of Economics
Maastricht University

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Noisy persuasion
(with Nikolas Tsakas)

Abstract.
We study the effect of noise due to exogenous information distortions in the context of Bayesian persuasion. In particular, we ask whether more noise (a la Blackwell) is always harmful for the information designer, i.e., the sender. We show that in general this is not the case. We provide a necessary and sufficient condition for the sender to always be worse off when noise increases in a binary noisy channel. There are two ways to read our result: (a) the sender always dislikes additional noise if and only if we start with little noise in the first place, (b) the sender always dislikes additional noise if and only if this additional noise is modelled by a sufficiently symmetric channel. Finally, we provide sufficient conditions that extend this result to channels of arbitrary cardinality.