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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.
    3. Robert J. Aumann, 1995. "Repeated Games with Incomplete Information," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262011476, December.
    4. Emir Kamenica & Matthew Gentzkow, 2011. "Bayesian Persuasion," American Economic Review, American Economic Association, vol. 101(6), pages 2590-2615, October.
    5. Françoise Forges, 2020. "Games with Incomplete Information: From Repetition to Cheap Talk and Persuasion," Annals of Economics and Statistics, GENES, issue 137, pages 3-30.
    6. Elliot Lipnowski & Doron Ravid, 2020. "Cheap Talk With Transparent Motives," Econometrica, Econometric Society, vol. 88(4), pages 1631-1660, July.
    7. Doron Ravid & Anne-Katrin Roesler & Balázs Szentes, 2022. "Learning before Trading: On the Inefficiency of Ignoring Free Information," Journal of Political Economy, University of Chicago Press, vol. 130(2), pages 346-387.
    8. Terstiege, Stefan & Wasser, Cédric, 2020. "Buyer-optimal extensionproof information," Journal of Economic Theory, Elsevier, vol. 188(C).
    9. Emir Kamenica, 2019. "Bayesian Persuasion and Information Design," Annual Review of Economics, Annual Reviews, vol. 11(1), pages 249-272, August.
    10. Piotr Dworczak & Giorgio Martini, 2019. "The Simple Economics of Optimal Persuasion," Journal of Political Economy, University of Chicago Press, vol. 127(5), pages 1993-2048.
    11. 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.
    12. Charalambos D. Aliprantis & Kim C. Border, 2006. "Infinite Dimensional Analysis," Springer Books, Springer, edition 0, number 978-3-540-29587-7, June.
    13. Yingni Guo & Eran Shmaya, 2019. "The Interval Structure of Optimal Disclosure," Econometrica, Econometric Society, vol. 87(2), pages 653-675, March.
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