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Strategy and design of multi‐unit auction in grouped asymmetric setting

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  • Shiying Chen
  • Zhenhuan Dong
  • Chunming Cao
  • Changjun Zheng

Abstract

In this study, the difference amongst bidders is modelled by the two parameters of valuation and marginal utility. Thus, the symmetrical multi‐unit auction is extended to the asymmetric private value model. The optimal strategy of any different bidders can be solved by the model, which expands the practical application of multi‐unit auction theory. On this basis, the yield and price volatility of different auction mechanisms under the ‘two‐group case’ are evaluated. The results show that Vickrey auction is generally superior to uniform price auction. Different from the other two formats, the fluctuation range of discriminatory price auction revenue is large.

Suggested Citation

  • Shiying Chen & Zhenhuan Dong & Chunming Cao & Changjun Zheng, 2022. "Strategy and design of multi‐unit auction in grouped asymmetric setting," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 43(8), pages 3435-3453, December.
    • Handle: RePEc:wly:mgtdec:v:43:y:2022:i:8:p:3435-3453
    DOI: 10.1002/mde.3606
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    1. Marco Pagnozzi & Krista J. Saral, 2017. "Demand Reduction in Multi†object Auctions with Resale: An Experimental Analysis," Economic Journal, Royal Economic Society, vol. 127(607), pages 2702-2729, December.
    2. F. Bonomo & J. Catalán & G. Durán & R. Epstein & M. Guajardo & A. Jawtuschenko & J. Marenco, 2017. "An asymmetric multi-item auction with quantity discounts applied to Internet service procurement in Buenos Aires public schools," Annals of Operations Research, Springer, vol. 258(2), pages 569-585, November.
    3. Muto, Nozomu & Shirata, Yasuhiro, 2017. "Manipulation via endowments in auctions with multiple goods," Mathematical Social Sciences, Elsevier, vol. 87(C), pages 75-84.
    4. Marco Pagnozzi & Krista J. Saral, 2017. "Demand Reduction in Multi‐Object Auctions with Resale: An Experimental Analysis," Economic Journal, Royal Economic Society, vol. 127(607), pages 2702-2729.
    5. Edward J. Anderson & Pär Holmberg & Andrew B. Philpott, 2013. "Mixed strategies in discriminatory divisible-good auctions," RAND Journal of Economics, RAND Corporation, vol. 44(1), pages 1-32, March.
    6. Jaime F. Zender & James J.D. Wang, 2002. "Auctioning divisible goods," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 19(4), pages 673-705.
    7. Toshihiro Tsuchihashi, 2021. "A buyout option alleviates implicit collusion in uniform‐price auctions," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 42(5), pages 1146-1155, July.
    8. Ali Hortaçsu & Steven L. Puller, 2008. "Understanding strategic bidding in multi‐unit auctions: a case study of the Texas electricity spot market," RAND Journal of Economics, RAND Corporation, vol. 39(1), pages 86-114, March.
    9. Baisa, Brian & Burkett, Justin, 2020. "Discriminatory price auctions with resale and optimal quantity caps," Theoretical Economics, Econometric Society, vol. 15(1), January.
    10. Albert S. Kyle, 1989. "Informed Speculation with Imperfect Competition," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 56(3), pages 317-355.
    11. Isa Hafalir & Musab Kurnaz, 2019. "Discriminatory auctions with resale," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(2), pages 173-189, December.
    12. Erwann SbaÏ & Olivier Armantier, 2006. "Estimation and comparison of treasury auction formats when bidders are asymmetric," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(6), pages 745-779.
    13. Marszalec, Daniel, 2017. "The impact of auction choice on revenue in treasury bill auctions – An empirical evaluation," International Journal of Industrial Organization, Elsevier, vol. 53(C), pages 215-239.
    14. Robert Wilson, 1977. "A Bidding Model of Perfect Competition," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 44(3), pages 511-518.
    15. Shuang Xu & Yong Zhao & Yeming Gong, 2021. "Equivalence and revenue comparison among identical-item auctions," Journal of Economics, Springer, vol. 134(3), pages 261-292, December.
    16. Jakub Kastl, 2011. "Discrete Bids and Empirical Inference in Divisible Good Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(3), pages 974-1014.
    17. Robert Wilson, 1979. "Auctions of Shares," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 93(4), pages 675-689.
    18. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
    19. Ali Hortaçsu & David McAdams, 2010. "Mechanism Choice and Strategic Bidding in Divisible Good Auctions: An Empirical Analysis of the Turkish Treasury Auction Market," Journal of Political Economy, University of Chicago Press, vol. 118(5), pages 833-865.
    20. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, March.
    21. Khezr, Peyman & MacKenzie, Ian A., 2018. "Permit market auctions with allowance reserves," International Journal of Industrial Organization, Elsevier, vol. 61(C), pages 283-306.
    22. Klemperer, Paul D & Meyer, Margaret A, 1989. "Supply Function Equilibria in Oligopoly under Uncertainty," Econometrica, Econometric Society, vol. 57(6), pages 1243-1277, November.
    23. Ilan Kremer, 2004. "Underpricing and Market Power in Uniform Price Auctions," The Review of Financial Studies, Society for Financial Studies, vol. 17(3), pages 849-877.
    24. Olivier Armantier & Jean-Pierre Florens & Jean-Francois Richard, 2008. "Approximation of Nash equilibria in Bayesian games," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 23(7), pages 965-981.
    25. Kastl, Jakub, 2012. "On the properties of equilibria in private value divisible good auctions with constrained bidding," Journal of Mathematical Economics, Elsevier, vol. 48(6), pages 339-352.
    26. Burkett, Justin & Woodward, Kyle, 2020. "Uniform price auctions with a last accepted bid pricing rule," Journal of Economic Theory, Elsevier, vol. 185(C).
    27. Pär Holmberg & Frank A. Wolak, 2018. "Comparing auction designs where suppliers have uncertain costs and uncertain pivotal status," RAND Journal of Economics, RAND Corporation, vol. 49(4), pages 995-1027, December.
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