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Persuasion in an asymmetric information economy: a justification of Wald’s maxmin preferences

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  • Zhiwei Liu

    (Capital University of Economics and Business)

  • Nicholas C. Yannelis

    (The University of Iowa)

Abstract

To justify the use of Wald’s maxmin preferences in an asymmetric information economy, we introduce a mechanism designer who can convince/persuade agents to adopt Wald’s maxmin preferences. We show that more efficient and individually rational allocations become incentive compatible if the mechanism designer persuades agents to use Wald’s maxmin preferences instead of Bayesian preferences. Thus, we justify the Wald’s maxmin preferences by showing that agents can be persuaded to use them in order to enlarge the set of efficient, individually rational and incentive compatible allocations.

Suggested Citation

  • Zhiwei Liu & Nicholas C. Yannelis, 2021. "Persuasion in an asymmetric information economy: a justification of Wald’s maxmin preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 72(3), pages 801-833, October.
    • Handle: RePEc:spr:joecth:v:72:y:2021:i:3:d:10.1007_s00199-021-01364-7
    DOI: 10.1007/s00199-021-01364-7
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    References listed on IDEAS

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    1. Cheng-Zhong Qin & Xintong Yang, 2020. "On the equivalence of rational expectations equilibrium with perfect Bayesian equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 69(4), pages 1127-1146, June.
    2. Vinicius Carrasco & Vitor Farinha Luz & Paulo K. Monteiro & Humberto Moreira, 2019. "Robust mechanisms: the curvature case," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 68(1), pages 203-222, July.
    3. Emir Kamenica & Matthew Gentzkow, 2011. "Bayesian Persuasion," American Economic Review, American Economic Association, vol. 101(6), pages 2590-2615, October.
    4. Michele Lombardi & Naoki Yoshihara, 2020. "Partially-honest Nash implementation: a full characterization," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(3), pages 871-904, October.
    5. Alexey Kushnir & Shuo Liu, 2019. "On the equivalence of Bayesian and dominant strategy implementation for environments with nonlinear utilities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 67(3), pages 617-644, April.
    6. Kym Pram, 2020. "Weak implementation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 69(3), pages 569-594, April.
    7. Holmstrom, Bengt & Myerson, Roger B, 1983. "Efficient and Durable Decision Rules with Incomplete Information," Econometrica, Econometric Society, vol. 51(6), pages 1799-1819, November.
    8. Emma Moreno-García & Juan Pablo Torres-Martínez, 2020. "Information within coalitions: risk and ambiguity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 69(1), pages 125-147, February.
    9. Beauchêne, Dorian & Li, Jian & Li, Ming, 2019. "Ambiguous persuasion," Journal of Economic Theory, Elsevier, vol. 179(C), pages 312-365.
    10. De Castro, Luciano & Yannelis, Nicholas C., 2018. "Uncertainty, efficiency and incentive compatibility: Ambiguity solves the conflict between efficiency and incentive compatibility," Journal of Economic Theory, Elsevier, vol. 177(C), pages 678-707.
    11. Luciano Castro & Marialaura Pesce & Nicholas Yannelis, 2011. "Core and equilibria under ambiguity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 48(2), pages 519-548, October.
    12. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    13. Liu, Zhiwei & Song, Xinxi & Yannelis, Nicholas C., 2020. "Randomization under ambiguity: Efficiency and incentive compatibility," Journal of Mathematical Economics, Elsevier, vol. 90(C), pages 1-11.
    14. Angelos Angelopoulos & Leonidas Koutsougeras, 2015. "Value allocation under ambiguity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 59(1), pages 147-167, May.
    15. Benoit Decerf & Frank Riedel, 2020. "Purification and disambiguation of Ellsberg equilibria," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 69(3), pages 595-636, April.
    16. Allan Muir & Nicholas C. Yannelis & Dionysius Glycopantis, 2001. "An extensive form interpretation of the private core," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 18(2), pages 293-319.
    17. Luciano I. Castro & Marialaura Pesce & Nicholas C. Yannelis, 2020. "A new approach to the rational expectations equilibrium: existence, optimality and incentive compatibility," Annals of Finance, Springer, vol. 16(1), pages 1-61, March.
    18. Kota Saito, 2015. "Preferences for Flexibility and Randomization under Uncertainty," American Economic Review, American Economic Association, vol. 105(3), pages 1246-1271, March.
    19. Arianna Degan & Ming Li, 2021. "Persuasion with costly precision," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 72(3), pages 869-908, October.
    20. Zhiwei Liu, 2016. "Implementation of maximin rational expectations equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 62(4), pages 813-837, October.
    21. Shaowei Ke & Qi Zhang, 2020. "Randomization and Ambiguity Aversion," Econometrica, Econometric Society, vol. 88(3), pages 1159-1195, May.
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    1. Guo, Huiyi & Yannelis, Nicholas C., 2022. "Robust coalitional implementation," Games and Economic Behavior, Elsevier, vol. 132(C), pages 553-575.

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    More about this item

    Keywords

    Persuasion; Efficient; Individually rational; Incentive compatibility; Wald’s maxmin preferences;
    All these keywords.

    JEL classification:

    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • 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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