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Equilibrium bids in practical multi-attribute auctions

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  • Wang, Mingxi
  • Liu, Shulin

Abstract

This article proposes a nonlinear scoring rule which transforms multiple attributes of a bid into comparable dimensionless ones. Practically, the buyer can use it to select the most competitive winner. For risk-neutral bidders, we characterize a symmetric Bayes–Nash equilibrium and find that as the number of bidders increases the equilibrium quality improves, whereas the equilibrium price decreases.

Suggested Citation

  • Wang, Mingxi & Liu, Shulin, 2014. "Equilibrium bids in practical multi-attribute auctions," Economics Letters, Elsevier, vol. 123(3), pages 352-355.
    • Handle: RePEc:eee:ecolet:v:123:y:2014:i:3:p:352-355
    DOI: 10.1016/j.econlet.2014.03.021
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    References listed on IDEAS

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    1. Yeon-Koo Che, 1993. "Design Competition through Multidimensional Auctions," RAND Journal of Economics, The RAND Corporation, vol. 24(4), pages 668-680, Winter.
    2. Fernando Branco, 1997. "The Design of Multidimensional Auctions," RAND Journal of Economics, The RAND Corporation, vol. 28(1), pages 63-81, Spring.
    3. John Asker & Estelle Cantillon, 2010. "Procurement when price and quality matter," RAND Journal of Economics, RAND Corporation, vol. 41(1), pages 1-34, March.
    4. John Asker & Estelle Cantillon, 2008. "Properties of scoring auctions," RAND Journal of Economics, RAND Corporation, vol. 39(1), pages 69-85, March.
    5. Thiel, Stuart E., 1988. "Multidimensional auctions," Economics Letters, Elsevier, vol. 28(1), pages 37-40.
    6. McAfee, R Preston & McMillan, John, 1987. "Auctions and Bidding," Journal of Economic Literature, American Economic Association, vol. 25(2), pages 699-738, June.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Takeshi Nishimura, 2015. "Optimal design of scoring auctions with multidimensional quality," Review of Economic Design, Springer;Society for Economic Design, vol. 19(2), pages 117-143, June.
    2. Riccardo Camboni Marchi Adani, 2018. "Procuring price and quality using scoring auctions: where do we stand?," Economia e Politica Industriale: Journal of Industrial and Business Economics, Springer;Associazione Amici di Economia e Politica Industriale, vol. 45(1), pages 17-36, March.
    3. NAKABAYASHI Jun & HIROSE Yohsuke, 2016. "Structural Estimation of the Scoring Auction Model," Discussion papers 16008, Research Institute of Economy, Trade and Industry (RIETI).
    4. Jorge González Chapela, 2019. "Weight Values, Scoring Rules and Abnormally Low Tenders Criteria in Multidimensional Procurement: Effects on Price," Hacienda Pública Española / Review of Public Economics, IEF, vol. 228(1), pages 55-81, March.
    5. Joseph Feffer, 2024. "Scoring Auctions with Coarse Beliefs," Papers 2410.06150, arXiv.org.
    6. Zhijuan Hong & Ruhai Wu & Yan Sun & Kunxiang Dong, 2020. "Buyer preferences for auction pricing rules in online outsourcing markets: fixed price vs. open price," Electronic Markets, Springer;IIM University of St. Gallen, vol. 30(1), pages 163-179, March.

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    More about this item

    Keywords

    Multi-attribute auctions; Bidding strategy; Winner determination;
    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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