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A Rothschild-Stiglitz Approach to Bayesian Persuasion

Matthew Gentzkow, Emir Kamenica

American Economic Review · 2016 · Volume 106 · Issue 5

DOI: 10.1257/aer.p20161049

Abstract

Rothschild and Stiglitz (1970) represent random variables as convex functions (integrals of the cumulative distribution function). Combining this representation with Blackwell's Theorem (1953), we characterize distributions of posterior means that can be induced by a signal. This characterization provides a novel way to analyze a class of Bayesian persuasion problems.

Keywords

Search, Learning, Information and Knowledge, Communication, Belief, Unawareness

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