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The Core of Bayesian Persuasion

Laura Doval, Ran Eilat

arXiv 25 Jul 2023 · Theoretical Economics · 1 citations (OpenAlex)

arXiv:2307.13849 · PDF · DOI · OpenAlex · Extracted main text

Abstract

An analyst observes the frequency with which an agent takes actions, but not the frequency with which she takes actions conditional on a payoff relevant state. In this setting, we ask when the analyst can rationalize the agent's choices as the outcome of the agent learning something about the state before taking action. Our characterization marries the obedience approach in information design (Bergemann and Morris, 2016) and the belief approach in Bayesian persuasion (Kamenica and Gentzkow, 2011) relying on a theorem by Strassen (1965) and Hall's marriage theorem. We apply our results to ring-network games and to identify conditions under which a data set is consistent with a public information structure in first-order Bayesian persuasion games.

Citation extraction

29
references
67
in-text mentions
29
distinct cited
0
self-citations
9,601
main-text words

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Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Strassen, V (1965) The existence of probability measures with given marginals0.96510490%
2Azrieli, Y. and J. Rehbeck (2022) Marginal stochastic choice0.87472100%
3Kamenica, E. and M. Gentzkow (2011) Bayesian persuasion0.8434475%
4Bergemann, D. and S. Morris (2016) Bayes correlated equilibrium and the comparison of information structures in games0.84333100%
5Arieli, I., Y. Babichenko, F. Sandomirskiy, and O. Tamuz (2021) Feasible joint posterior beliefs0.81142100%
6Gale, D (1957) A theorem on flows in networks0.66910330%
7Kneeland, T (2015) Identifying higher-order rationality0.64422100%
8Rehbeck, J (2023) Revealed Bayesian expected utility with limited data0.58531100%
9Hiriart-Urruty, J.-B. and C. Lemaréchal (2004) Fundamentals of convex analysis0.5112250%
10Caplin, A. and M. Dean (2015) Revealed preference, rational inattention, and costly information acquisition0.51121100%

Showing the top 10 of 29 scored citations.