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Small Informational Size and Interim Cores of Large Quasilinear Economies

Author

Listed:
  • Yusuke Kamishiro

    (Department of Economics, Kanto Gakuin University, 1-50-1 Mutsuura-higashi, Kanazawa-ku, Yokohama, 236-8501, Japan)

  • Roberto Serrano

    (Department of Economics, Brown University, Providence, RI 02912, USA)

Abstract

This paper provides nonemptiness results of approximate interim cores with endogenous communication in large quasilinear economies, where every agent’s informational size is small. We offer results for both replica and more general sequences of economies.

Suggested Citation

  • Yusuke Kamishiro & Roberto Serrano, 2020. "Small Informational Size and Interim Cores of Large Quasilinear Economies," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 22(01), pages 1-12, March.
    • Handle: RePEc:wsi:igtrxx:v:22:y:2020:i:01:n:s0219198919500129
    DOI: 10.1142/S0219198919500129
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    References listed on IDEAS

    as
    1. Serrano, Roberto & Vohra, Rajiv, 2007. "Information transmission in coalitional voting games," Journal of Economic Theory, Elsevier, vol. 134(1), pages 117-137, May.
    2. Vohra, Rajiv, 1999. "Incomplete Information, Incentive Compatibility, and the Core," Journal of Economic Theory, Elsevier, vol. 86(1), pages 123-147, May.
    3. McLean, Richard P. & Postlewaite, Andrew, 2003. "Informational size and incentive compatibility with aggregate uncertainty," Games and Economic Behavior, Elsevier, vol. 45(2), pages 410-433, November.
    4. Kamishiro, Yusuke, 2011. "Informational size and the incentive compatible coarse core in quasilinear economies," Games and Economic Behavior, Elsevier, vol. 71(2), pages 513-520, March.
    5. 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.
    6. McLean, Richard P. & Postlewaite, Andrew, 2003. "Informational size, incentive compatibility, and the core of a game with incomplete information," Games and Economic Behavior, Elsevier, vol. 45(1), pages 222-241, October.
    7. repec:dau:papers:123456789/8158 is not listed on IDEAS
    8. Myerson, Roger B., 2007. "Virtual utility and the core for games with incomplete information," Journal of Economic Theory, Elsevier, vol. 136(1), pages 260-285, September.
    9. Forges, Francoise & Minelli, Enrico & Vohra, Rajiv, 2002. "Incentives and the core of an exchange economy: a survey," Journal of Mathematical Economics, Elsevier, vol. 38(1-2), pages 1-41, September.
    10. Yusuke Kamishiro & Roberto Serrano, 2011. "Equilibrium Blocking in Large Quasilinear Economies," Mathematics of Operations Research, INFORMS, vol. 36(3), pages 552-567, August.
    11. Yusuke Kamishiro & Roberto Serrano & Myrna Wooders, 2015. "Information and Small Group Effectiveness in Large Quasilinear Economies," Working Papers 2015-11, Brown University, Department of Economics.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Asymmetric information; large quasilinear exchange economies; informational smallness; approximate interim cores;
    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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