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Dynamic Consistency in Incomplete Information Games with Multiple Priors

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  • Pahlke, Marieke

    (Center for Mathematical Economics, Bielefeld University)

Abstract

This paper generalizes the concept of Sequential Equilibrium to allow for ambiguous incomplete information about types or states. We characterize conditions that ensure existence of Sequential Equilibria under ambiguous incomplete information. Under these conditions players form subjective prior belief sets that satisfy a rectangularity condition which leads to dynamically consistent behavior. Furthermore, we give an example which shows that ambiguity can introduce new Sequential Equilibria.

Suggested Citation

  • Pahlke, Marieke, 2018. "Dynamic Consistency in Incomplete Information Games with Multiple Priors," Center for Mathematical Economics Working Papers 599, Center for Mathematical Economics, Bielefeld University.
    • Handle: RePEc:bie:wpaper:599
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    File URL: https://pub.uni-bielefeld.de/download/2930492/2930576
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Pahlke, Marieke, 2019. "A Note on Dynamic Consistency in Ambiguous Persuasion," Center for Mathematical Economics Working Papers 611, Center for Mathematical Economics, Bielefeld University.
    2. 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.
    3. Spyros Galanis & Christos A. Ioannou & Stelios Kotronis, 2023. "Supplementary appendix to Information Aggregation Under Ambiguity: Theory and Experimental Evidence," Department of Economics Working Papers 2023_05, Durham University, Department of Economics.
    4. Bauch, Gerrit & Riedel, Frank, 2024. "The Texas Shoot-Out under Knightian uncertainty," Games and Economic Behavior, Elsevier, vol. 146(C), pages 35-50.
    5. Xiaoyu Cheng, 2020. "Ambiguous Persuasion: An Ex-Ante Formulation," Papers 2010.05376, arXiv.org, revised Nov 2023.
    6. Spyros Galanis & Christos A Ioannou & Stelios Kotronis, 2024. "Information Aggregation Under Ambiguity: Theory and Experimental Evidence," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 91(6), pages 3423-3467.
    7. Yang Hao, 2023. "Financial Market with Learning from Price under Knightian Uncertainty," Working Papers hal-03686748, HAL.
    8. Phoebe Koundouri & Nikitas Pittis & Panagiotis Samartzis, 2023. "Counterfactual Priors: A Bayesian Response to Ellsberg's Paradox," DEOS Working Papers 2307, Athens University of Economics and Business.
    9. Auster, Sarah & Kellner, Christian, 2022. "Robust bidding and revenue in descending price auctions," Journal of Economic Theory, Elsevier, vol. 199(C).
    10. Gerrit Bauch & Frank Riedel, 2022. "The Texas Shootout under Uncertainty," Papers 2211.10089, arXiv.org.
    11. Gerrit Bauch, 2023. "Underreaction and dynamic inconsistency in communication games under noise," Papers 2311.12496, arXiv.org.

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    More about this item

    Keywords

    sequential equilibrium; ambiguity; dynamic consistency; multiple priors; imprecise information;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • 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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