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Virtual utility and the core for games with incomplete information

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  • Myerson, Roger B.

Abstract

The core is extended to games with incomplete information. The feasible set is characterized by incentive-compatible mechanisms, and blocking may similarly be organized by an incentive compatible mediation plan. Nonemptiness is proven for games with a balanced structure
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Suggested Citation

  • 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.
  • Handle: RePEc:eee:jetheo:v:136:y:2007:i:1:p:260-285
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    References listed on IDEAS

    as
    1. Myerson, Roger B, 1983. "Mechanism Design by an Informed Principal," Econometrica, Econometric Society, vol. 51(6), pages 1767-1797, November.
    2. Lee, Darin & Volij, Oscar, 2002. "The core of economies with asymmetric information: an axiomatic approach," Journal of Mathematical Economics, Elsevier, vol. 38(1-2), pages 43-63, September.
    3. Aviad Heifetz & Françoise Forges & Enrico Minelli, 2001. "Incentive compatible core and competitive equilibria in differential information economies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 18(2), pages 349-365.
    4. Serrano, Roberto & Vohra, Rajiv, 2007. "Information transmission in coalitional voting games," Journal of Economic Theory, Elsevier, vol. 134(1), pages 117-137, May.
    5. Myerson Roger B., 1995. "Sustainable Matching Plans with Adverse Selection," Games and Economic Behavior, Elsevier, vol. 9(1), pages 35-65, April.
    6. Myerson, Roger B., 1989. "Credible negotiation statements and coherent plans," Journal of Economic Theory, Elsevier, vol. 48(1), pages 264-303, June.
    7. Holmstrom, Bengt & Myerson, Roger B, 1983. "Efficient and Durable Decision Rules with Incomplete Information," Econometrica, Econometric Society, vol. 51(6), pages 1799-1819, November.
    8. Wilson, Robert B, 1978. "Information, Efficiency, and the Core of an Economy," Econometrica, Econometric Society, vol. 46(4), pages 807-816, July.
    9. Qin Cheng-Zhong, 1993. "The Inner Core and the Strictly Inhibitive Set," Journal of Economic Theory, Elsevier, vol. 59(1), pages 96-106, February.
    10. repec:dau:papers:123456789/5454 is not listed on IDEAS
    11. Myerson, Roger B, 1984. "Two-Person Bargaining Problems with Incomplete Information," Econometrica, Econometric Society, vol. 52(2), pages 461-487, March.
    12. 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.
    13. Roberto Serrano & Rajiv Vohra & Oscar Volij, 2001. "On the Failure of Core Convergence in Economies with Asymmetric Information," Econometrica, Econometric Society, vol. 69(6), pages 1685-1696, November.
    14. de Clippel, Geoffroy, 2007. "The type-agent core for exchange economies with asymmetric information," Journal of Economic Theory, Elsevier, vol. 135(1), pages 144-158, July.
    15. Francoise Forges & Jean-Francois Mertens & Rajiv Vohra, 2002. "The Ex Ante Incentive Compatible Core in the Absence of Wealth Effects," Econometrica, Econometric Society, vol. 70(5), pages 1865-1892, September.
    16. Vohra, Rajiv, 1999. "Incomplete Information, Incentive Compatibility, and the Core," Journal of Economic Theory, Elsevier, vol. 86(1), pages 123-147, May.
    17. Alexey Malakhov & Rakesh V. Vohra, 2004. "Single and Multi-Dimensional Optimal Auctions - A Network Approach," Discussion Papers 1397, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    18. repec:dau:papers:123456789/5451 is not listed on IDEAS
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    Citations

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    Cited by:

    1. Yusuke Kamishiro & Roberto Serrano, 2011. "Equilibrium Blocking in Large Quasilinear Economies," Mathematics of Operations Research, INFORMS, vol. 36(3), pages 552-567, August.
    2. Serrano, Roberto & Vohra, Rajiv, 2007. "Information transmission in coalitional voting games," Journal of Economic Theory, Elsevier, vol. 134(1), pages 117-137, May.
    3. Biran, Omer & Forges, Françoise, 2011. "Core-stable rings in auctions with independent private values," Games and Economic Behavior, Elsevier, vol. 73(1), pages 52-64, September.
    4. 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.
    5. Mikhail Safronov, 2016. "A Coasian Approach to Efficient Mechanism Design," Cambridge Working Papers in Economics 1619, Faculty of Economics, University of Cambridge.
    6. M. Bumin Yenmez, 2013. "Incentive-Compatible Matching Mechanisms: Consistency with Various Stability Notions," American Economic Journal: Microeconomics, American Economic Association, vol. 5(4), pages 120-141, November.
    7. Askoura, Y. & Sbihi, M. & Tikobaini, H., 2013. "The ex ante α-core for normal form games with uncertainty," Journal of Mathematical Economics, Elsevier, vol. 49(2), pages 157-162.
    8. Clemens Löffler & Thomas Pfeiffer & Georg Schneider, 2013. "The irreversibility effect and agency conflicts," Theory and Decision, Springer, vol. 74(2), pages 219-239, February.
    9. repec:dau:papers:123456789/8158 is not listed on IDEAS
    10. Yusuke Kamishiro, 2015. "On the core of a cost allocation problem under asymmetric information," Operations Research and Decisions, Wroclaw University of Technology, Institute of Organization and Management, vol. 1, pages 17-32.
    11. repec:dau:papers:123456789/4100 is not listed on IDEAS
    12. Noguchi, Mitsunori, 2014. "Cooperative equilibria of finite games with incomplete information," Journal of Mathematical Economics, Elsevier, vol. 55(C), pages 4-10.
    13. Yusuke Kamishiro & Roberto Serrano, 2008. "Information transmission and core convergence in quasilinear economies," Working Papers 2008-01, Instituto Madrileño de Estudios Avanzados (IMDEA) Ciencias Sociales.
    14. Biran, Omer, 2011. "Mécanismes d'échange en présence d'externalités," Economics Thesis from University Paris Dauphine, Paris Dauphine University, number 123456789/7238 edited by Forges, Françoise, December.
    15. 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.

    More about this item

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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