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Beliefs, Payoffs, Information: On the Robustness of the BDP Property in Models with Endogenous Beliefs

Author

Listed:
  • Alia Gizatulina

    (Max Planck Institute for Research on Collective Goods, Bonn)

  • Martin Hellwig

    (Max Planck Institute for Research on Collective Goods, Bonn)

Abstract

Neeman (2004) and Heifetz and Neeman (2006) have shown that, in auctions with incomplete information about payoffs, full surplus extraction is only possible if agents’ beliefs about other agents are fully informative about their own payoff parameters. They argue that the set of incomplete-information models satisfying this so-called BDP property ("beliefs determine preferences") is negligible, in a geometric and a measure-theoretic sense. In contrast, we show that, in models with finite-dimensional type spaces, this property is topologically generic if the set of objects about which beliefs are formed is sufficiently rich and beliefs are derived by conditioning on the available information; for any agent, this information includes his own payoff parameters.

Suggested Citation

  • Alia Gizatulina & Martin Hellwig, 2011. "Beliefs, Payoffs, Information: On the Robustness of the BDP Property in Models with Endogenous Beliefs," Discussion Paper Series of the Max Planck Institute for Behavioral Economics 2011_28, Max Planck Institute for Behavioral Economics.
  • Handle: RePEc:mpg:wpaper:2011_28
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    Cited by:

    1. is not listed on IDEAS
    2. Guo, Huiyi, 2019. "Mechanism design with ambiguous transfers: An analysis in finite dimensional naive type spaces," Journal of Economic Theory, Elsevier, vol. 183(C), pages 76-105.
    3. Philippe Jehiel & Konrad Mierendorff, 2021. "Auction Design with Data-Driven Misspecifications," Papers 2107.00640, arXiv.org.
    4. Yamashita, Takuro, 2018. "Revenue guarantees in auctions with a (correlated) common prior and additional information," TSE Working Papers 18-937, Toulouse School of Economics (TSE).
    5. Alia Gizatulina & Martin Hellwig, 2015. "The Genericity of the McAfee-Reny Condition for Full Surplus Extraction in Models with a Continuum of Types," Discussion Paper Series of the Max Planck Institute for Behavioral Economics 2015_08, Max Planck Institute for Behavioral Economics.
    6. Gizatulina, Alia & Hellwig, Martin, 2017. "The generic possibility of full surplus extraction in models with large type spaces," Journal of Economic Theory, Elsevier, vol. 170(C), pages 385-416.
    7. Sushil Bikhchandani & Ichiro Obara, 2017. "Mechanism design with information acquisition," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(3), pages 783-812, March.

    More about this item

    Keywords

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    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D40 - Microeconomics - - Market Structure, Pricing, and Design - - - General
    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General

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