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Auction Design with Heterogeneous Priors

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  • Pham, Hien
  • Yamashita, Takuro

Abstract

We consider an auction design problem with private values, where the seller and bidders may enjoy heterogeneous priors about their (possibly correlated) valuations. Each bidder forms an (interim) belief about the others based on his own prior updated by observing his own value. If the seller faces uncertainty about the bidders’ priors, even if he knows that the bidders’ priors are within any given distance from his, he may find it worst-case optimal to propose a dominant-strategy auction mechanism.

Suggested Citation

  • Pham, Hien & Yamashita, Takuro, 2021. "Auction Design with Heterogeneous Priors," TSE Working Papers 21-1260, Toulouse School of Economics (TSE), revised Mar 2023.
  • Handle: RePEc:tse:wpaper:126163
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    References listed on IDEAS

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    1. Mariann Ollár & Antonio Penta, 2017. "Full Implementation and Belief Restrictions," American Economic Review, American Economic Association, vol. 107(8), pages 2243-2277, August.
    2. Ilya Segal, 2003. "Optimal Pricing Mechanisms with Unknown Demand," American Economic Review, American Economic Association, vol. 93(3), pages 509-529, June.
    3. Dirk Bergemann & Stephen Morris, 2012. "Robust Mechanism Design," World Scientific Book Chapters, in: Robust Mechanism Design The Role of Private Information and Higher Order Beliefs, chapter 2, pages 49-96, World Scientific Publishing Co. Pte. Ltd..
    4. Jehiel, Philippe & Meyer-ter-Vehn, Moritz & Moldovanu, Benny, 2012. "Locally robust implementation and its limits," Journal of Economic Theory, Elsevier, vol. 147(6), pages 2439-2452.
    5. Takuro Yamashita & Shuguang Zhu, 2022. "On the Foundations of Ex Post Incentive-Compatible Mechanisms," American Economic Journal: Microeconomics, American Economic Association, vol. 14(4), pages 494-514, November.
    6. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    7. Kristóf Madarász & Andrea Prat, 2017. "Sellers with Misspecified Models," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 84(2), pages 790-815.
    8. Gabriel Carroll, 2017. "Robustness and Separation in Multidimensional Screening," Econometrica, Econometric Society, vol. 85, pages 453-488, March.
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