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Stability with one-sided incomplete information

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  • Bikhchandani, Sushil

Abstract

Two notions of stability, ex ante stability and Bayesian stability, are investigated in a matching model with non-transferrable utility, interdependent preferences, and one-sided incomplete information. Ex ante stable matching-outcomes are unblocked for every belief on the blocking partner's type while Bayesian stable matching-outcomes are unblocked with respect to prior beliefs. Ex ante stability is a minimal requirement. Bayesian stability is a more selective desideratum with sound efficiency properties.

Suggested Citation

  • Bikhchandani, Sushil, 2017. "Stability with one-sided incomplete information," Journal of Economic Theory, Elsevier, vol. 168(C), pages 372-399.
    • Handle: RePEc:eee:jetheo:v:168:y:2017:i:c:p:372-399
    DOI: 10.1016/j.jet.2017.01.004
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Marcelo Ariel Fernandez & Kirill Rudov & Leeat Yariv, 2022. "Centralized Matching with Incomplete Information," American Economic Review: Insights, American Economic Association, vol. 4(1), pages 18-33, March.
    2. Chen, Yi-Chun & Hu, Gaoji, 2024. "Bayesian stable states," Games and Economic Behavior, Elsevier, vol. 145(C), pages 102-116.
    3. Kawaguchi, Riho & Yanagisawa, Daichi & Nishinari, Katsuhiro, 2019. "Decision-making with reference information," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 519(C), pages 109-118.
    4. Baodong Li & Yu Yang & Jiafu Su & Zhichao Liang & Sheng Wang, 2020. "Two-sided matching decision-making model with hesitant fuzzy preference information for configuring cloud manufacturing tasks and resources," Journal of Intelligent Manufacturing, Springer, vol. 31(8), pages 2033-2047, December.
    5. Shi, Fanqi, 2021. "Stability in sequential matching with incomplete information," Games and Economic Behavior, Elsevier, vol. 129(C), pages 492-502.
    6. Alston, Max, 2020. "On the non-existence of stable matches with incomplete information," Games and Economic Behavior, Elsevier, vol. 120(C), pages 336-344.
    7. Peralta, Esteban, 2024. "Not all is lost: Sorting and self-stabilizing sets," Games and Economic Behavior, Elsevier, vol. 146(C), pages 51-58.
    8. Timm Opitz & Christoph Schwaiger, 2023. "Reciprocal Preferences in Matching Markets," Rationality and Competition Discussion Paper Series 388, CRC TRR 190 Rationality and Competition.
    9. Kloosterman, Andrew & Troyan, Peter, 2020. "School choice with asymmetric information: priority design and the curse of acceptance," Theoretical Economics, Econometric Society, vol. 15(3), July.
    10. Maxey, Tyler, 2024. "School choice with costly information acquisition," Games and Economic Behavior, Elsevier, vol. 143(C), pages 248-268.
    11. Kenny Peng & Nikhil Garg, 2024. "Wisdom and Foolishness of Noisy Matching Markets," Papers 2402.16771, arXiv.org.

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    More about this item

    Keywords

    Stable matching; Incomplete information; Incomplete-information core;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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