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Non-cooperative Bargaining and the Incomplete Information Core

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  • Okada, Akira
  • 岡田, 章

Abstract

In an exchange economy with incomplete information, the signaling core is defined by the set of state-contingent allocations to which no coalitions object under informational leakage through proposals by informed agents. An objection underlying the signaling core is supported by a sequential equilibrium of an ultimatum bargaining game with an informed proposer. We prove that a stationary sequential equilibrium allocation in a Rubinstein-type sequential bargaining game with a restart rule belongs to the signaling core if the belief of players satisfies a self-selection property.
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Suggested Citation

  • Okada, Akira & 岡田, 章, 2009. "Non-cooperative Bargaining and the Incomplete Information Core," Discussion Papers 2009-16, Graduate School of Economics, Hitotsubashi University.
    • Handle: RePEc:hit:econdp:2009-16
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Okada, Akira, 2016. "A non-cooperative bargaining theory with incomplete information: Verifiable types," Journal of Economic Theory, Elsevier, vol. 163(C), pages 318-341.
    2. Françoise Forges & Roberto Serrano, 2013. "Cooperative Games With Incomplete Information: Some Open Problems," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 15(02), pages 1-17.
    3. repec:dau:papers:123456789/8158 is not listed on IDEAS
    4. Akira Okada, 2015. "Cooperation and Institution in Games," The Japanese Economic Review, Japanese Economic Association, vol. 66(1), pages 1-32, March.
    5. Geoffroy de Clippel & Jack Fanning & Kareen Rozen, 2022. "Bargaining over Contingent Contracts under Incomplete Information," American Economic Review, American Economic Association, vol. 112(5), pages 1522-1554, May.
    6. Kamishiro, Yusuke & Vohra, Rajiv & Serrano, Roberto, 2023. "Signaling, screening, and core stability," Journal of Economic Theory, Elsevier, vol. 213(C).
    7. Chatterjee, Kalyan & Mitra, Manipushpak & Mukherjee, Conan, 2017. "Bidding rings: A bargaining approach," Games and Economic Behavior, Elsevier, vol. 103(C), pages 67-82.
    8. Askoura, Y., 2015. "An interim core for normal form games and exchange economies with incomplete information," Journal of Mathematical Economics, Elsevier, vol. 58(C), pages 38-45.
    9. Youcef Askoura, 2019. "An interim core for normal form games and exchange economies with incomplete information: a correction," Papers 1903.09867, arXiv.org.
    10. Toshiji Miyakawa, 2017. "The farsighted core in a political game with asymmetric information," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 49(1), pages 205-229, June.

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    More about this item

    Keywords

    core; exchange economy; incomplete information; information transmission; non-cooperative bargaining;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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