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Non-cooperative Bargaining and the Incomplete Information Core

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  • Okada, Akira

Abstract

We consider information transmission in the core of an exchange economy with incomplete information by non-cooperative bargaining theory. Reformulating the coalitional voting game by Serrano and Vohra [Information transmission in coalitional voting games, J. of Economic Theory (2007), 117-137] so that an informed agent proposes an allocation, we define a notion of the informational core. A coalition has an informational objection to the status-quo allocation if and only if there exists an equilibrium rejection in the coalitional voting game. We present a non-cooperative sequential bargaining game in which coalitional voting games are repeated, and prove that a refinement of a sequential equilibrium of the bargaining game necessarily yields an allocation in the informational core.

Suggested Citation

  • Okada, Akira, 2009. "Non-cooperative Bargaining and the Incomplete Information Core," Discussion Papers 2009-03, Graduate School of Economics, Hitotsubashi University.
  • Handle: RePEc:hit:econdp:2009-03
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    References listed on IDEAS

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    1. Myerson, Roger B, 1983. "Mechanism Design by an Informed Principal," Econometrica, Econometric Society, vol. 51(6), pages 1767-1797, November.
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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. repec:eee:gamebe:v:103:y:2017:i:c:p:67-82 is not listed on IDEAS
    6. Chatterjee, Kalyan & Mitra, Manipushpak & Mukherjee, Conan, 2017. "Bidding rings: A bargaining approach," Games and Economic Behavior, Elsevier, vol. 103(C), pages 67-82.
    7. 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.
    8. repec:spr:sochwe:v:49:y:2017:i:1:d:10.1007_s00355-017-1057-5 is not listed on IDEAS

    More about this item

    Keywords

    core; exchange economy; incomplete information; information transmission; non-cooperative bargaining;

    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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