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A comparative analysis of multi-unit sequential auction under optimal reserve

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  • Chakraborty, Indranil

Abstract

We consider sequential auction of two identical objects under the second-price rule when reserves are set optimally. We find that bidders bid more in the sequential auction when they are risk averse (CARA) than when they are not. The expected revenue is higher under the Vickrey rule than under the uniform-price rule. Hence the sequential auction generates higher expected revenue than both the Vickrey auction and uniform-price auction when bidders have constant absolute risk aversion.

Suggested Citation

  • Chakraborty, Indranil, 2018. "A comparative analysis of multi-unit sequential auction under optimal reserve," Economics Letters, Elsevier, vol. 162(C), pages 34-36.
  • Handle: RePEc:eee:ecolet:v:162:y:2018:i:c:p:34-36
    DOI: 10.1016/j.econlet.2017.10.019
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    References listed on IDEAS

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    1. Richard Engelbrecht-Wiggans & Charles M. Kahn, 1998. "Multi-unit auctions with uniform prices," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 12(2), pages 227-258.
    2. Lawrence M. Ausubel & Peter Cramton & Marek Pycia & Marzena Rostek & Marek Weretka, 2014. "Demand Reduction and Inefficiency in Multi-Unit Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 81(4), pages 1366-1400.
    3. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, March.
    4. McAfee R. Preston & Vincent Daniel, 1993. "The Declining Price Anomaly," Journal of Economic Theory, Elsevier, vol. 60(1), pages 191-212, June.
    5. Katzman, Brett, 1999. "A Two Stage Sequential Auction with Multi-Unit Demands," Journal of Economic Theory, Elsevier, vol. 86(1), pages 77-99, May.
    6. Caillaud, Bernard & Mezzetti, Claudio, 2004. "Equilibrium reserve prices in sequential ascending auctions," Journal of Economic Theory, Elsevier, vol. 117(1), pages 78-95, July.
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    Cited by:

    1. Ma, Gang & Zheng, Junjun & Wei, Ju & Wang, Shilei & Han, Yefan, 2021. "Robust optimization strategies for seller based on uncertainty sets in context of sequential auction," Applied Mathematics and Computation, Elsevier, vol. 390(C).

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    More about this item

    Keywords

    Sequential auction; Uniform-price auctions; Demand reduction; Multi-unit auctions; Risk averse bidders;
    All these keywords.

    JEL classification:

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

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