Persuasion, Posteriors & Polymatroids

Thanh Nguyen and Rakesh Vohra ()
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Rakesh Vohra: University of Pennsylvania

PIER Working Paper Archive from Penn Institute for Economic Research, Department of Economics, University of Pennsylvania

Abstract: Any mapping from states to signals induces a distribution over possible posteriors. For decision-making purposes, one is interested in parameters of those posteriors, such as their quartiles or whether they first-order stochastically dominate some given distribution. We show that a generalization of Gale’s demand theorem can be used to characterize which distributions over possible posteriors with the requisite properties can be generated by some mapping from states to signals.

Keywords: Bayesian Persuasion; Information Design; Polymatroids (search for similar items in EconPapers)
Pages: 18 pages
Date: 2024-08-01
New Economics Papers: this item is included in nep-des, nep-gth and nep-mic
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