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Endogenous ambiguity in cheap talk

Author

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  • Kellner, Christian
  • Le Quement, Mark T.

Abstract

This paper proposes a model of ambiguous language. We consider a simple cheap talk game in which a sender who faces an ambiguity averse receiver is able to perform ambiguous randomization, i.e. to randomize according to unknown probabilities. We show that for any standard influential communication equilibrium there exists an equilibrium featuring an ambiguous communication strategy which Pareto-dominates it in terms of consistent planning ex ante utilities. Ambiguity, by triggering worst-case decision-making by the receiver, shifts the latter's response to information towards the sender's ideal action, thus encouraging more information transmission.

Suggested Citation

  • Kellner, Christian & Le Quement, Mark T., 2018. "Endogenous ambiguity in cheap talk," Journal of Economic Theory, Elsevier, vol. 173(C), pages 1-17.
    • Handle: RePEc:eee:jetheo:v:173:y:2018:i:c:p:1-17
    DOI: 10.1016/j.jet.2017.10.007
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Matthew Kovach, 2021. "Ambiguity and Partial Bayesian Updating," Papers 2102.11429, arXiv.org, revised Mar 2023.
    2. Beauchêne, Dorian & Li, Jian & Li, Ming, 2019. "Ambiguous persuasion," Journal of Economic Theory, Elsevier, vol. 179(C), pages 312-365.
    3. Sarah Auster & Christian Kellner, 2023. "Timing Decisions Under Model Uncertainty," CRC TR 224 Discussion Paper Series crctr224_2023_460, University of Bonn and University of Mannheim, Germany.
    4. Larry G. Epstein & Yoram Halevy, 2019. "Hard-to-Interpret Signals," Working Papers tecipa-634, University of Toronto, Department of Economics.
    5. Jonas Hedlund & T. Florian Kauffeldt & Malte Lammert, 2021. "Persuasion under ambiguity," Theory and Decision, Springer, vol. 90(3), pages 455-482, May.
    6. Grant, Simon & Stauber, Ronald, 2022. "Delegation and ambiguity in correlated equilibrium," Games and Economic Behavior, Elsevier, vol. 132(C), pages 487-509.
    7. Cheng, Xiaoyu, 2022. "Relative Maximum Likelihood updating of ambiguous beliefs," Journal of Mathematical Economics, Elsevier, vol. 99(C).
    8. Frank Riedel, 2017. "Uncertain Acts in Games," Homo Oeconomicus: Journal of Behavioral and Institutional Economics, Springer, vol. 34(4), pages 275-292, December.
    9. Galanis, S. & Ioannou, C. & Kotronis, S., 2019. "Information Aggregation Under Ambiguity: Theory and Experimental Evidence," Working Papers 20/05, Department of Economics, City University London.
    10. Ivanov, Maxim & Sam, Alex, 2022. "Cheap talk with private signal structures," Games and Economic Behavior, Elsevier, vol. 132(C), pages 288-304.
    11. Pahlke, Marieke, 2019. "A Note on Dynamic Consistency in Ambiguous Persuasion," Center for Mathematical Economics Working Papers 611, Center for Mathematical Economics, Bielefeld University.
    12. Eran Hanany & Peter Klibanoff & Sujoy Mukerji, 2020. "Incomplete Information Games with Ambiguity Averse Players," American Economic Journal: Microeconomics, American Economic Association, vol. 12(2), pages 135-187, May.
    13. Xiaoyu Cheng, 2019. "Relative Maximum Likelihood Updating of Ambiguous Beliefs," Papers 1911.02678, arXiv.org, revised Oct 2021.
    14. Sarah Auster & Christian Kellner, 2023. "Timing Decisions under Model Uncertainty," ECONtribute Discussion Papers Series 252, University of Bonn and University of Cologne, Germany.
    15. Kellner, Christian & Thordal-Le Quement, Mark & Riener, Gerhard, 2020. "Reacting to ambiguous messages: An experimental analysis," DICE Discussion Papers 357, Heinrich Heine University Düsseldorf, Düsseldorf Institute for Competition Economics (DICE).
    16. Bade, Sophie, 2022. "Dynamic semi-consistency," Games and Economic Behavior, Elsevier, vol. 134(C), pages 117-126.
    17. Yi-Hsuan Lin & Fernando Payró Chew, 2024. "Updating Under Imprecise Information," Working Papers 1424, Barcelona School of Economics.
    18. Pahlke, Marieke, 2022. "Dynamic Consistency and Ambiguous Communication," VfS Annual Conference 2022 (Basel): Big Data in Economics 264027, Verein für Socialpolitik / German Economic Association.
    19. Auster, Sarah & Kellner, Christian, 2022. "Robust bidding and revenue in descending price auctions," Journal of Economic Theory, Elsevier, vol. 199(C).
    20. Colo, Philippe, 2021. "Expert-based Knowledge: Communicating over Scientific Models," MPRA Paper 110434, University Library of Munich, Germany.

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    More about this item

    Keywords

    Cheap talk; Ambiguity;

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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