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A geometric Blackwell’s order

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  • Wu, Wenhao

Abstract

I present a geometric version of Blackwell’s order related to the dispersion of posterior beliefs induced by an experiment. I show that , when the posterior beliefs are affinely independent on the probability space, a more informative experiment corresponds to a more dispersed distribution of posterior beliefs.

Suggested Citation

  • Wu, Wenhao, 2023. "A geometric Blackwell’s order," Economics Letters, Elsevier, vol. 226(C).
    • Handle: RePEc:eee:ecolet:v:226:y:2023:i:c:s0165176523001076
    DOI: 10.1016/j.econlet.2023.111082
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    References listed on IDEAS

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    1. Leshno, Moshe & Spector, Yishay, 1992. "An elementary proof of Blackwell's theorem," Mathematical Social Sciences, Elsevier, vol. 25(1), pages 95-98, December.
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    5. Elliot Lipnowski & Laurent Mathevet & Dong Wei, 2020. "Attention Management," American Economic Review: Insights, American Economic Association, vol. 2(1), pages 17-32, March.
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    7. Bergemann, Dirk & Morris, Stephen, 2016. "Bayes correlated equilibrium and the comparison of information structures in games," Theoretical Economics, Econometric Society, vol. 11(2), May.
    8. Lehrer, Ehud & Rosenberg, Dinah & Shmaya, Eran, 2013. "Garbling of signals and outcome equivalence," Games and Economic Behavior, Elsevier, vol. 81(C), pages 179-191.
    9. Bielinska-Kwapisz, Agnieszka, 2003. "Sufficiency in Blackwell's theorem," Mathematical Social Sciences, Elsevier, vol. 46(1), pages 21-25, August.
    10. de Oliveira, Henrique, 2018. "Blackwell's informativeness theorem using diagrams," Games and Economic Behavior, Elsevier, vol. 109(C), pages 126-131.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Blackwell’s theorem; Incomplete information; Bayesian persuasion;
    All these keywords.

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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