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Eliciting private information with noise: The case of randomized response

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  • Blume, Andreas
  • Lai, Ernest K.
  • Lim, Wooyoung
Abstract
Theory suggests that garbling may improve the transmission of private information. A simple garbling procedure, randomized response, has shown promise in the field. We provide the first complete analysis of randomized response as a game and implement it as an experiment. We find in our experiment that randomized response increases truth-telling and, importantly, does so in instances where being truthful adversely affects posterior beliefs. Our theoretical analysis also reveals, however, that randomized response has a plethora of equilibria in addition to truth-telling equilibria. Lab behavior is most consistent with those informative but not truth-telling equilibria.

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  • Blume, Andreas & Lai, Ernest K. & Lim, Wooyoung, 2019. "Eliciting private information with noise: The case of randomized response," Games and Economic Behavior, Elsevier, vol. 113(C), pages 356-380.
    • Handle: RePEc:eee:gamebe:v:113:y:2019:i:c:p:356-380
    DOI: 10.1016/j.geb.2018.09.012
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    Cited by:

    1. Blume, Andreas & Lai, Ernest K. & Lim, Wooyoung, 2023. "Mediated talk: An experiment," Journal of Economic Theory, Elsevier, vol. 208(C).
    2. Pierpaolo Battigalli & Martin Dufwenberg, 2022. "Belief-Dependent Motivations and Psychological Game Theory," Journal of Economic Literature, American Economic Association, vol. 60(3), pages 833-882, September.
    3. James C. D. Fisher & Timothy J. Flannery, 2023. "Designing randomized response surveys to support honest answers to stigmatizing questions," Review of Economic Design, Springer;Society for Economic Design, vol. 27(3), pages 635-667, September.
    4. Fries, Tilman & Gneezy, Uri & Kajackaite, Agne & Parra, Daniel, 2021. "Observability and lying," Journal of Economic Behavior & Organization, Elsevier, vol. 189(C), pages 132-149.
    5. Maxim Ivanov, 2024. "Perfect robust implementation by private information design," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 78(3), pages 753-787, November.
    6. Kellner, Christian & Le Quement, Mark T. & Riener, Gerhard, 2022. "Reacting to ambiguous messages: An experimental analysis," Games and Economic Behavior, Elsevier, vol. 136(C), pages 360-378.

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    More about this item

    Keywords

    Communication; Garbling; Information transmission; Randomized response; Laboratory experiment;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C92 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Group Behavior
    • 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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