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Dynamic consistency in incomplete information games with multiple priors

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  • Pahlke, Marieke

Abstract

This paper explores multi-stage incomplete information games with common ambiguous information about states or types and ambiguity averse players. We characterize a belief formation process that allows players to take their knowledge about the structure of the game into account. This process leads to subjective rectangular ex-ante belief sets for all players. We show that given these sets of beliefs, players behave dynamically consistent. Therefore, using our belief formation process, we can extend the concept of sequential equilibria to multi-stage ambiguous incomplete information games. Furthermore, we characterize assumption under which sequential rationality implies rectangularity.

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  • Pahlke, Marieke, 2022. "Dynamic consistency in incomplete information games with multiple priors," Games and Economic Behavior, Elsevier, vol. 133(C), pages 85-108.
    • Handle: RePEc:eee:gamebe:v:133:y:2022:i:c:p:85-108
    DOI: 10.1016/j.geb.2022.02.004
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    Cited by:

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    2. Xiaoyu Cheng, 2020. "Ambiguous Persuasion: An Ex-Ante Formulation," Papers 2010.05376, arXiv.org, revised Nov 2023.
    3. Yang Hao, 2023. "Financial Market with Learning from Price under Knightian Uncertainty," Working Papers hal-03686748, HAL.
    4. 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.
    5. Koundouri, Phoebe & Pittis, Nikitas & Samartzis, Panagiotis, 2023. "Counterfactual Priors: A Bayesian Response to Ellsberg's Paradox," MPRA Paper 122027, University Library of Munich, Germany.
    6. Pahlke, Marieke, 2019. "A Note on Dynamic Consistency in Ambiguous Persuasion," Center for Mathematical Economics Working Papers 611, Center for Mathematical Economics, Bielefeld University.
    7. 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.
    8. 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.
    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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