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A simple proof of strong duality in the linear persuasion problem

Deniz Dizdar and Eugen Kovac

Games and Economic Behavior, 2020, vol. 122, issue C, 407-412

Abstract: We provide a simple proof of strong duality for the linear persuasion problem. The duality is established in Dworczak and Martini (2019), under slightly stronger assumptions, using techniques from the literature on optimization with stochastic dominance constraints and several approximation arguments. We provide a short, alternative proof that is based on a direct argument to show the existence of optimal price functions, and on switching the roles of the primal and the dual to show that there is no duality gap.

Keywords: Bayesian persuasion; Information design; Strong duality (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:gamebe:v:122:y:2020:i:c:p:407-412

DOI: 10.1016/j.geb.2020.04.017

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