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Sealed-bid auctions based on Cobb-Douglas utility function

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  • Liu, Shulin
  • Wang, Mingxi

Abstract

This paper presents a more general independent private value model based on the assumption that Cobb-Douglas utility function is used to make a tradeoff between the probability of winning the unit and the profit under the first-price and second-price sealed-bid auctions. The equilibrium bidding strategies are given and the seller's expected revenue comparisons are made.

Suggested Citation

  • Liu, Shulin & Wang, Mingxi, 2010. "Sealed-bid auctions based on Cobb-Douglas utility function," Economics Letters, Elsevier, vol. 107(1), pages 1-3, April.
    • Handle: RePEc:eee:ecolet:v:107:y:2010:i:1:p:1-3
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    References listed on IDEAS

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    1. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
    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. Riley, John G & Samuelson, William F, 1981. "Optimal Auctions," American Economic Review, American Economic Association, vol. 71(3), pages 381-392, June.
    4. Milgrom, Paul, 1989. "Auctions and Bidding: A Primer," Journal of Economic Perspectives, American Economic Association, vol. 3(3), pages 3-22, Summer.
    5. Wolfstetter, Elmar, 1996. "Auctions: An Introduction," Journal of Economic Surveys, Wiley Blackwell, vol. 10(4), pages 367-420, December.
    6. Che, Yeon-Koo & Gale, Ian, 1996. "Expected revenue of all-pay auctions and first-price sealed-bid auctions with budget constraints," Economics Letters, Elsevier, vol. 50(3), pages 373-379, March.
    7. McAfee, R Preston & McMillan, John, 1987. "Auctions and Bidding," Journal of Economic Literature, American Economic Association, vol. 25(2), pages 699-738, June.
    8. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    9. Maskin, Eric S & Riley, John G, 1984. "Optimal Auctions with Risk Averse Buyers," Econometrica, Econometric Society, vol. 52(6), pages 1473-1518, November.
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    Cited by:

    1. Zhang, Yunyi & Gong, Pu, 2018. "IPV model with Cobb–Douglas and reference-dependent utility functions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 510(C), pages 121-131.
    2. Ziyi Tan & Shulin Liu, 2022. "The Generalized First- and Second-Price Auctions: Overbidding, Underbidding, and Optimal Reserve Price," Mathematics, MDPI, vol. 10(3), pages 1-15, January.

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