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How bidder's number affects optimal reserve price in first-price auctions under risk aversion

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  • Hu, Audrey

Abstract

This paper shows that in the classic symmetric and independent private value environments, the seller's optimal reserve price is a decreasing function of the number of bidders in the first-price auctions when the seller and/or buyers are risk averse.

Suggested Citation

  • Hu, Audrey, 2011. "How bidder's number affects optimal reserve price in first-price auctions under risk aversion," Economics Letters, Elsevier, vol. 113(1), pages 29-31, October.
    • Handle: RePEc:eee:ecolet:v:113:y:2011:i:1:p:29-31
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    References listed on IDEAS

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    1. Maskin, Eric & Riley, John, 2003. "Uniqueness of equilibrium in sealed high-bid auctions," Games and Economic Behavior, Elsevier, vol. 45(2), pages 395-409, November.
    2. Audrey Hu & Steven A. Matthews & Liang Zou, 2009. "Risk Aversion and Optimal Reserve Prices in First and Second-Price Auctions, Second Version," PIER Working Paper Archive 10-001, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 03 Jan 2010.
    3. Krishna, Vijay, 2009. "Auction Theory," Elsevier Monographs, Elsevier, edition 2, number 9780123745071.
    4. Riley, John G & Samuelson, William F, 1981. "Optimal Auctions," American Economic Review, American Economic Association, vol. 71(3), pages 381-392, June.
    5. Matthews, Steven, 1987. "Comparing Auctions for Risk Averse Buyers: A Buyer's Point of View," Econometrica, Econometric Society, vol. 55(3), pages 633-646, May.
    6. Cox, James C. & Smith, Vernon L. & Walker, James M., 1982. "Auction market theory of heterogeneous bidders," Economics Letters, Elsevier, vol. 9(4), pages 319-325.
    7. Maskin, Eric S & Riley, John G, 1984. "Optimal Auctions with Risk Averse Buyers," Econometrica, Econometric Society, vol. 52(6), pages 1473-1518, November.
    8. Levin, Dan & Smith, James L, 1996. "Optimal Reservation Prices in Auctions," Economic Journal, Royal Economic Society, vol. 106(438), pages 1271-1283, September.
    9. Cox, James C & Smith, Vernon L & Walker, James M, 1988. "Theory and Individual Behavior of First-Price Auctions," Journal of Risk and Uncertainty, Springer, vol. 1(1), pages 61-99, March.
    10. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    11. Hu, Audrey & Matthews, Steven A. & Zou, Liang, 2010. "Risk aversion and optimal reserve prices in first- and second-price auctions," Journal of Economic Theory, Elsevier, vol. 145(3), pages 1188-1202, May.
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    Cited by:

    1. Shachat, Jason & Tan, Lijia, 2023. "How auctioneers set reserve prices in procurement auctions," European Journal of Operational Research, Elsevier, vol. 304(2), pages 709-728.
    2. Qiao, Yu & Labi, Samuel & Fricker, Jon D., 2021. "Does highway project bundling policy affect bidding competition? Insights from a mixed ordinal logistic model," Transportation Research Part A: Policy and Practice, Elsevier, vol. 145(C), pages 228-242.
    3. Kim, Dong-Hyuk, 2015. "Nonparametric estimation of utility function in first-price sealed-bid auctions," Economics Letters, Elsevier, vol. 126(C), pages 101-106.
    4. Shachat, Jason & Tan, Lijia, 2019. "How Auctioneers Set Ex-Ante and Ex-Post Reserve Prices in English Auctions," MPRA Paper 96225, University Library of Munich, Germany.
    5. Vasserman, Shoshana & Watt, Mitchell, 2021. "Risk aversion and auction design: Theoretical and empirical evidence," International Journal of Industrial Organization, Elsevier, vol. 79(C).
    6. Priyodorshi Banerjee & Shashwat Khare & P. Srikant, 2018. "Learning to Set the Reserve Price Optimally in Laboratory First Price Auctions," Games, MDPI, vol. 9(4), pages 1-16, October.

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