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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. John Asker & Estelle Cantillon, 2008. "Properties of scoring auctions," RAND Journal of Economics, RAND Corporation, vol. 39(1), pages 69-85, March.
    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. Fernando Branco, 1997. "The Design of Multidimensional Auctions," RAND Journal of Economics, The RAND Corporation, vol. 28(1), pages 63-81, Spring.
    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)

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    Cited by:

    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. NAKABAYASHI Jun & HIROSE Yohsuke, 2016. "Structural Estimation of the Scoring Auction Model," Discussion papers 16008, Research Institute of Economy, Trade and Industry (RIETI).

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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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