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On Rationalizable Outcomes in Private-Value First-Price Discrete Auctions

Author

Listed:
  • Jack Robles
  • Makoto Shimoji

Abstract

In this paper, we extend the result of Dekel and Wollinsky ("Rationalizable Outcomes of Large Private-Value First-Price Discrete Auctions" Games and Economic Behavior, 2003) on rationalizable outcomes in first-price auctions. Dekel and Wollinsky show that under certain conditions, each player chooses a unique bid conditional on her valuation. Their result however depends on the assumption that the number of players is sufficiently large (relative to the number of available bids). We first provide a different set of sufficient conditions for the uniqueness result. We then show that for the independent (possibly asymmetric) private value case, (i) the result holds if the distributions are such that the inverse hazard rate is sufficiently high for each valuation, implying that auctions need not necessarily be large, and (ii) if the distributions satisfy the conditions of Dekel and Wollinsky, they always satisfy ours

Suggested Citation

  • Jack Robles & Makoto Shimoji, "undated". "On Rationalizable Outcomes in Private-Value First-Price Discrete Auctions," Discussion Papers 09/21, Department of Economics, University of York.
    • Handle: RePEc:yor:yorken:09/21
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    References listed on IDEAS

    as
    1. Eddie Dekel & Asher Wolinsky, 2000. "Rationalizable Outcomes of Large Independent Private-Value First Price Discrete Auctions," Discussion Papers 1308, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    2. Eric Maskin & John Riley, 2000. "Asymmetric Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(3), pages 413-438.
    3. Battigalli, Pierpaolo & Siniscalchi, Marciano, 2003. "Rationalizable bidding in first-price auctions," Games and Economic Behavior, Elsevier, vol. 45(1), pages 38-72, October.
    4. , & , & ,, 2007. "Interim correlated rationalizability," Theoretical Economics, Econometric Society, vol. 2(1), pages 15-40, March.
    5. Dekel, Eddie & Wolinsky, Asher, 2003. "Rationalizable outcomes of large private-value first-price discrete auctions," Games and Economic Behavior, Elsevier, vol. 43(2), pages 175-188, May.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    First-Price Auctions; Rationalizability; Dominance;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions

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