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Experiments versus distributions of posteriors

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  • Terstiege, Stefan
  • Wasser, Cédric

Abstract

A fundamental result in Bayesian persuasion and information design states that a distribution of posterior beliefs can be induced by an experiment if and only if the posterior beliefs average to the prior belief. We present a general version of this result that applies to infinite state and signal spaces.

Suggested Citation

  • Terstiege, Stefan & Wasser, Cédric, 2023. "Experiments versus distributions of posteriors," Mathematical Social Sciences, Elsevier, vol. 125(C), pages 58-60.
    • Handle: RePEc:eee:matsoc:v:125:y:2023:i:c:p:58-60
    DOI: 10.1016/j.mathsocsci.2023.07.003
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    References listed on IDEAS

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    1. Dirk Bergemann & Stephen Morris, 2019. "Information Design: A Unified Perspective," Journal of Economic Literature, American Economic Association, vol. 57(1), pages 44-95, March.
    2. Raphael Boleslavsky & Christopher Cotton, 2015. "Grading Standards and Education Quality," American Economic Journal: Microeconomics, American Economic Association, vol. 7(2), pages 248-279, May.
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    6. Elliot Lipnowski & Doron Ravid, 2020. "Cheap Talk With Transparent Motives," Econometrica, Econometric Society, vol. 88(4), pages 1631-1660, July.
    7. Terstiege, Stefan & Wasser, Cédric, 2020. "Buyer-optimal extensionproof information," Journal of Economic Theory, Elsevier, vol. 188(C).
    8. Emir Kamenica, 2019. "Bayesian Persuasion and Information Design," Annual Review of Economics, Annual Reviews, vol. 11(1), pages 249-272, August.
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    10. Stefan Terstiege & Cédric Wasser, 2022. "Competitive Information Disclosure to an Auctioneer," American Economic Journal: Microeconomics, American Economic Association, vol. 14(3), pages 622-664, August.
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