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Competitive bidding in asymmetric multidimensional public procurement

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  • Lorentziadis, Panos L.

Abstract

In a multidimensional procurement auction, such as a most economically advantageous tender, asymmetric opponents, with different cost structure and predetermined quality, compete for the highest score, which combines price and quality. Production inefficiency characterizes each tenderer. We derive the equilibrium equations and boundary conditions, for which closed-form solutions are not available. We compare the bidding behavior of any pair of rival tenderers and demonstrate that equilibrium prices critically depend on the comparison of the cost difference Δc with respect to the increment of score attribute s. For the same production inefficiency, a tenderer with a relatively higher Δc compared to s, stands in weak competitive position and is forced to bid more aggressively. We show how the opposing advantage of each bidder with respect to cost or score attribute induces the extent of competition. Under a different perspective, we analyze bidding by a pair of tenderers for a given maximum score, achieved when pricing is at cost. Our analysis reveals that the player with consistently higher percentage change of the probability of being more efficient than the rival, is in a disadvantageous position and receives lower score in the awarding process. Our results are useful for tenderers in assessing their competitive position. The findings enable contracting authorities to evaluate competition at the preliminary stage of design and to examine the effects of the awarding criterion on pricing.

Suggested Citation

  • Lorentziadis, Panos L., 2020. "Competitive bidding in asymmetric multidimensional public procurement," European Journal of Operational Research, Elsevier, vol. 282(1), pages 211-220.
  • Handle: RePEc:eee:ejores:v:282:y:2020:i:1:p:211-220
    DOI: 10.1016/j.ejor.2019.09.005
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    1. Pham, Long & Teich, Jeffrey & Wallenius, Hannele & Wallenius, Jyrki, 2015. "Multi-attribute online reverse auctions: Recent research trends," European Journal of Operational Research, Elsevier, vol. 242(1), pages 1-9.
    2. Patrick Bajari, 2001. "Comparing competition and collusion: a numerical approach," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 18(1), pages 187-205.
    3. Timothy P. Hubbard & Rene Kirkegaard, 2015. "Asymmetric Auctions with More Than Two Bidders," Working Papers 1502, University of Guelph, Department of Economics and Finance.
    4. Damian R. Beil & Lawrence M. Wein, 2003. "An Inverse-Optimization-Based Auction Mechanism to Support a Multiattribute RFQ Process," Management Science, INFORMS, vol. 49(11), pages 1529-1545, November.
    5. Eric Maskin & John Riley, 2000. "Equilibrium in Sealed High Bid Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(3), pages 439-454.
    6. Lorentziadis, Panos L., 2010. "Post-objective determination of weights of the evaluation factors in public procurement tenders," European Journal of Operational Research, Elsevier, vol. 200(1), pages 261-267, January.
    7. Wayne-Roy Gayle & Jean Richard, 2008. "Numerical Solutions of Asymmetric, First-Price, Independent Private Values Auctions," Computational Economics, Springer;Society for Computational Economics, vol. 32(3), pages 245-278, October.
    8. He Huang & Liming Liu & Geoffrey Parker & Yinliang (Ricky) Tan & Hongyan Xu, 2019. "Multi‐Attribute Procurement Auctions in the Presence of Satisfaction Risk," Production and Operations Management, Production and Operations Management Society, vol. 28(5), pages 1206-1221, May.
    9. Dimitris Kostamis & Damian R. Beil & Izak Duenyas, 2009. "Total-Cost Procurement Auctions: Impact of Suppliers' Cost Adjustments on Auction Format Choice," Management Science, INFORMS, vol. 55(12), pages 1985-1999, December.
    10. Maskin, Eric & Riley, John, 2003. "Uniqueness of equilibrium in sealed high-bid auctions," Games and Economic Behavior, Elsevier, vol. 45(2), pages 395-409, November.
    11. McAdams, David, 2007. "Uniqueness in symmetric first-price auctions with affiliation," Journal of Economic Theory, Elsevier, vol. 136(1), pages 144-166, September.
    12. Yeon-Koo Che, 1993. "Design Competition through Multidimensional Auctions," RAND Journal of Economics, The RAND Corporation, vol. 24(4), pages 668-680, Winter.
    13. Eric Maskin & John Riley, 2000. "Asymmetric Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(3), pages 413-438.
    14. Fernando Branco, 1997. "The Design of Multidimensional Auctions," RAND Journal of Economics, The RAND Corporation, vol. 28(1), pages 63-81, Spring.
    15. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, March.
    16. Lebrun, Bernard, 1999. "First Price Auctions in the Asymmetric N Bidder Case," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(1), pages 125-142, February.
    17. John Asker & Estelle Cantillon, 2008. "Properties of scoring auctions," RAND Journal of Economics, RAND Corporation, vol. 39(1), pages 69-85, March.
    18. Timothy Hubbard & René Kirkegaard & Harry Paarsch, 2013. "Using Economic Theory to Guide Numerical Analysis: Solving for Equilibria in Models of Asymmetric First-Price Auctions," Computational Economics, Springer;Society for Computational Economics, vol. 42(2), pages 241-266, August.
    19. Cheng, Harrison, 2006. "Ranking sealed high-bid and open asymmetric auctions," Journal of Mathematical Economics, Elsevier, vol. 42(4-5), pages 471-498, August.
    20. David C. Parkes & Jayant Kalagnanam, 2005. "Models for Iterative Multiattribute Procurement Auctions," Management Science, INFORMS, vol. 51(3), pages 435-451, March.
    21. Wang, Hong, 2013. "Contingent payment auction mechanism in multidimensional procurement auctions," European Journal of Operational Research, Elsevier, vol. 224(2), pages 404-413.
    22. Athey, Susan, 2001. "Single Crossing Properties and the Existence of Pure Strategy Equilibria in Games of Incomplete Information," Econometrica, Econometric Society, vol. 69(4), pages 861-889, July.
    23. Teich, Jeffrey E. & Wallenius, Hannele & Wallenius, Jyrki & Zaitsev, Alexander, 2006. "A multi-attribute e-auction mechanism for procurement: Theoretical foundations," European Journal of Operational Research, Elsevier, vol. 175(1), pages 90-100, November.
    24. Butler, John C. & Dyer, James S. & Jia, Jianmin & Tomak, Kerem, 2008. "Enabling e-transactions with multi-attribute preference models," European Journal of Operational Research, Elsevier, vol. 186(2), pages 748-765, April.
    25. Papakonstantinou, Athanasios & Bogetoft, Peter, 2017. "Multi-dimensional procurement auction under uncertain and asymmetric information," European Journal of Operational Research, Elsevier, vol. 258(3), pages 1171-1180.
    26. Jyrki Wallenius & James S. Dyer & Peter C. Fishburn & Ralph E. Steuer & Stanley Zionts & Kalyanmoy Deb, 2008. "Multiple Criteria Decision Making, Multiattribute Utility Theory: Recent Accomplishments and What Lies Ahead," Management Science, INFORMS, vol. 54(7), pages 1336-1349, July.
    27. Todd Kaplan & Shmuel Zamir, 2012. "Asymmetric first-price auctions with uniform distributions: analytic solutions to the general case," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 50(2), pages 269-302, June.
    28. Di Corato, Luca & Dosi, Cesare & Moretto, Michele, 2018. "Multidimensional auctions for long-term procurement contracts with early-exit options: The case of conservation contracts," European Journal of Operational Research, Elsevier, vol. 267(1), pages 368-380.
    29. Kirkegaard, René, 2009. "Asymmetric first price auctions," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1617-1635, July.
    30. Chen, Songlin & Tseng, Mitchell M., 2010. "A Negotiation-Credit-Auction mechanism for procuring customized products," International Journal of Production Economics, Elsevier, vol. 127(1), pages 203-210, September.
    31. James H. Criesmer & Richard E. Levitan & Martin Shubikt, 1967. "Toward a study of bidding processes part IV ‐ games with unknown costs," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 14(4), pages 415-433.
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    2. Chandel, Shivangi & Sarkar, Shubhro, 2023. "Corruption in multidimensional procurement auctions under asymmetry," Economic Modelling, Elsevier, vol. 120(C).
    3. Yanfei Liu & Wentao Wang & Wenjun Wang & Chengbo Yu & Bowen Mao & Dongfang Shang & Yucong Duan, 2023. "Purpose-Driven Evaluation of Operation and Maintenance Efficiency and Safety Based on DIKWP," Sustainability, MDPI, vol. 15(17), pages 1-22, August.
    4. Zhe Chen, 2021. "The bid orchestration and competitions in scoring procurement auctions," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 42(7), pages 1718-1729, October.
    5. Martínez, Ricardo & Sánchez-Soriano, Joaquín & Llorca, Natividad, 2022. "Assessments in public procurement procedures," Omega, Elsevier, vol. 111(C).

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