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A weighted product method for bidding strategies in multi-attribute auctions

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Abstract

To eliminate computational problems involved in evaluating multi-attribute bids with different measures, this article first normalizes each individual component of a bid, and then makes use of the weighted product method to present a new scoring function that converts each bid into a score. Two kinds of multi-attribute auction models are introduced in terms of scoring rules and bidding objective functions. Equilibrium bidding strategies, procurer’s revenue comparisons and optimal auction design are characterized in these two models. Finally, this article discusses some improvement of robustness of our models, with respect to the assumptions.

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References

  1. D. R. Beil and L. M. Wein, An inverse-optimization-based auction mechanism to support a multiattribute RFQ process, Management Science, 2003, 49(11): 1529–1545.

    Article  Google Scholar 

  2. J. Ma, S.Y. Wang, and K. K. Lai, Theory and Practice of E-Auction, Science Press, Beijing, 2003.

    Google Scholar 

  3. T. Shu, H. Yu, S. Y. Wang, S. Chen, and K. K. Lai, Auctions and Online Auctions, Hunan University Press, Changsha, 2007.

    Google Scholar 

  4. R. P. McAfee and J. McMillan, Auction and bidding, Journal of Economic Literature, 1987, 25(2): 699–738.

    Google Scholar 

  5. Y. K. Che, Design competition through multidimensional auctions, RAND Journal of Economics, 1993, 24(4): 668–680.

    Article  Google Scholar 

  6. F. Branco, The design of multidimensional auctions, RAND Journal of Economics, 1997, 28(1): 63–81.

    Article  Google Scholar 

  7. E. David, R. Azoulay-Schwartzb, and S. Kraus, Bidding in sealed-bid and English multi-attribute auctions, Decision Support Systems, 2006, 42(2): 527–556.

    Article  Google Scholar 

  8. H. P. Chao and R. Wilson, Multi-dimensional procurement auctions for power reserves: robust incentive-compatible scoring and settlement results, Journal of Regulatory Economics, 2002, 22(2): 161–183.

    Article  Google Scholar 

  9. S.E. Thiel, Multidimensional auctions, Economics Letters, 1988, 28: 37–40.

    Article  MathSciNet  Google Scholar 

  10. J. E. Teich, H. Wallenius, J. Wallenius, and O. R. Koppiusa, Emerging multiple issue e-auctions, European Journal of Operational Research, 2004, 159: 1–16.

    Article  MathSciNet  MATH  Google Scholar 

  11. Y. D. Smet, Multi-criteria auctions without full comparability of bids, European Journal of Operational Research, 2007, 177(33): 1433–1452.

    MathSciNet  MATH  Google Scholar 

  12. M. Bichler and J. Kalagnanam, Bidding languages and winner determination in multi-attribute auctions, European Journal of Operational Research, 2005, 160(2): 380–394.

    Article  MATH  Google Scholar 

  13. S. L. Liu and K. K. Lai, A DEA approach for winner determination for sealed-bid multi-attribute reverse auctions, Presented at The 2nd International Workshop on Competitive Bidding and Auctions, Wuhan, China, 2004.

  14. S. L. Liu, S. Y. Wang, and K. K. Lai, A General Multivariate Analysis Approach for Determining Bid Markup Strategy, Construction Management and Economics, 2005, 23(4): 347–353.

    Article  Google Scholar 

  15. S. L. Liu, K. K. Lai, and S. Y. Wang, A Method for Winner Determination under Sealed-bids Auction Based on a New Measurement of the Bid Criteria, International Journal of Operations & Quantitative Management, 2005, 11(3): 229–242.

    Google Scholar 

  16. K.K. Lai, S.L. Liu, and S. Y. Wang, A Method for Evaluating Bids in the Chinese Construction Industry, International Journal of Project Management, 2004, 22(3): 193–201.

    Article  Google Scholar 

  17. M.J. Bellosta, I. Brigui, S. Kornman, and D. Vanderpooten, A multi-criteria model for electronic auctions, Proceedings of the 2004 ACM Symposium on Applied Computing, 2004: 759–765.

  18. B. Burmeister, T. Ihde, T. Kittsteiner, B. Moldovanu, and J. Nikutta, A practical approach to multi-attribute auctions, Proceedings of the 13th International Workshop on Database and Expert Systems Applications (DEXA’02), 2002, ISSN: 1529-4188.

  19. K. P. Yoon and C. L. Hwang, Multiple attribute decision making: An introduction, Sage University Paper Series on Quantitative Applications in the Social Science, 07-104, Thousand Oaks, CA: Sage., 1995.

    Google Scholar 

  20. J. Seydel and D. L. Olson, Bids considering multiple criteria, Journal of Construction Engineering and Management, 1990, 116(4): 609–623.

    Article  Google Scholar 

  21. S. L. Liu and M. X. Wang, Sealed-bid auctions based on Cobb-Douglas utility function, Economics Letters, forthcoming.

  22. P. R. Milgrom and R. J. Weber, A theory of auctions and competitive bidding, Econometrica, 1982, 50(5): 1089–1122.

    Article  MATH  Google Scholar 

  23. M. Bichler and H. Werthner, A classification framework of multidimensional, multi-unit procurement negotiations, Proceedings of the 11th International Workshop on Database and Expert Systems Applications, IEEE Computer Society, Washington DC, USA, 2000.

    Google Scholar 

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Authors and Affiliations

  1. MADIS, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China

    Mingxi Wang & Shouyang Wang

  2. School of International Trade and Economics, University of International Business and Economics, Beijing, 100029, China

    Mingxi Wang & Shulin Liu

  3. Department of Management Sciences, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong, China

    Kin Keung Lai

Authors
  1. Mingxi Wang
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  2. Shulin Liu
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  3. Shouyang Wang
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  4. Kin Keung Lai
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Corresponding author

Correspondence to Mingxi Wang.

Additional information

This research is supported by the Foundation for the Author of National Excellent Doctoral Dissertation of China under Grant No. 200159 and National Natural Science Foundation of China under Grant No. 70571014.

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Wang, M., Liu, S., Wang, S. et al. A weighted product method for bidding strategies in multi-attribute auctions. J Syst Sci Complex 23, 194–208 (2010). https://doi.org/10.1007/s11424-010-9337-5

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  • DOI: https://doi.org/10.1007/s11424-010-9337-5

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