Skip to main content
Top
Published in: Group Decision and Negotiation 4/2016

19-12-2015

A Sealed-Bid Two-Attribute Yardstick Auction Without Prior Scoring

Authors: Jens Leth Hougaard, Kurt Nielsen, Athanasios Papakonstantinou

Published in: Group Decision and Negotiation | Issue 4/2016

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

We analyze a two-attribute single item procurement auction that uses yardstick competition to settle prices. The auction simplifies the procurement process by reducing the principal’s articulation of preferences to simply choosing the most preferred offer as if it was a market with posted prices. This is done simply by replacing the submitted sealed bids by yardstick bids, computed by a linear weighting of the other participants’ bids. We show that there is only one type of Nash equilibria where some agents may win the auction by submitting a zero price-bid. Using a simulation study we demonstrate that following this type of equilibrium behavior often leads to winner’s curse. The simulations show that in auctions with more than 12 participants the chance of facing winner’s curse is around 95 %. Truthful reporting, on the other hand, does not constitute a Nash equilibrium but it is ex post individually rational. Using a simulation study we demonstrate that truthful bidding may indeed represent some kind of focal point.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Footnotes
1
For instance think of a procurement decision in a cooperative where different members’ interests have to be aggregated
 
2
In a first score auction, the bidder with the highest score wins and has to meet the highest score. In a second score auction, the bidder with the highest score wins and has to meet the second highest score.
 
3
Using the revenue equivalence theorem as it is presented in Riley and Samuelson (1981).
 
4
However, it is not given that the second score auction is the most preferred auction by the principal. Bogetoft and Nielsen (2008) show that it is possible for the principal to extract more informational rent while the auction remains efficient and strategy-proof.
 
5
The idea of a yardstick auction can also be found in Aparicio et al. (2008). They suggest an auction design for so-called combinatorial auctions based on the same type of yardstick principle.
 
6
Note that if the other bidders were allowed a higher degree of misreporting our results will be even stronger in the sense that there will be even fewer cases where the auction is won with a gain.
 
Literature
go back to reference Agrell PJ, Bogetoft P, Tind J (2005) DEA and dynamic yardstick competition in Scandinavian electricity distribution. J Product Anal 23(2):173–201CrossRef Agrell PJ, Bogetoft P, Tind J (2005) DEA and dynamic yardstick competition in Scandinavian electricity distribution. J Product Anal 23(2):173–201CrossRef
go back to reference Aparicio J, Landete M, Monge J, Sirvent I (2008) A new pricing scheme based on DEA for iterative multi-unit combinatorial auctions. Top 16(2):319–344CrossRef Aparicio J, Landete M, Monge J, Sirvent I (2008) A new pricing scheme based on DEA for iterative multi-unit combinatorial auctions. Top 16(2):319–344CrossRef
go back to reference Arrow KJ (1963) Social choice and individual values. Yale University Press, New Haven Arrow KJ (1963) Social choice and individual values. Yale University Press, New Haven
go back to reference Babcock B, Lakshminarayan P, Wu J, Zilberman D (1996) The economics of a public fund for environmental amenities: a study of CRP contracts. Am J Agric Econ 78(4):961–971CrossRef Babcock B, Lakshminarayan P, Wu J, Zilberman D (1996) The economics of a public fund for environmental amenities: a study of CRP contracts. Am J Agric Econ 78(4):961–971CrossRef
go back to reference Babcock BA, Lakshminarayan PG, Wu J, Zilberman D (1997) Targeting tools for the purchase of environmental amenities. Land Econ 73:325–339CrossRef Babcock BA, Lakshminarayan PG, Wu J, Zilberman D (1997) Targeting tools for the purchase of environmental amenities. Land Econ 73:325–339CrossRef
go back to reference Beil DR, Wein L (2003) An inverse-optimization-based auction mechanism to support a multiattribute RFQ process. Manag Sci 49(11):1529–1545CrossRef Beil DR, Wein L (2003) An inverse-optimization-based auction mechanism to support a multiattribute RFQ process. Manag Sci 49(11):1529–1545CrossRef
go back to reference Bichler M, Kersten G, Strecker S (2003) Towards a structured design of electronic negotiations. Group Decis Negot 12(4):311–335CrossRef Bichler M, Kersten G, Strecker S (2003) Towards a structured design of electronic negotiations. Group Decis Negot 12(4):311–335CrossRef
go back to reference Bogetoft P, Nielsen K (2008) DEA based auctions. Eur J Oper Res 184:685–700CrossRef Bogetoft P, Nielsen K (2008) DEA based auctions. Eur J Oper Res 184:685–700CrossRef
go back to reference Bogetoft P, Otto L (2011) Benchmarking with DEA, SFA, and R. Springer, New YorkCrossRef Bogetoft P, Otto L (2011) Benchmarking with DEA, SFA, and R. Springer, New YorkCrossRef
go back to reference Bogetoft P, Otto L (2012) Benchmark Package for R. Tech. rep Bogetoft P, Otto L (2012) Benchmark Package for R. Tech. rep
go back to reference Burmeister B, Ihde T, Kittsteiner T, Moldovanu B, Nikutta J (2002) A practical approach to multi-attribute auctions. In: 13th International workshop on database and expert systems applications, 2002. Proceedings, pp 670–674 Burmeister B, Ihde T, Kittsteiner T, Moldovanu B, Nikutta J (2002) A practical approach to multi-attribute auctions. In: 13th International workshop on database and expert systems applications, 2002. Proceedings, pp 670–674
go back to reference Bushnell JB, Oren SS (1994) Bidder cost revelation in electric power auctions. J Regul Econ 6:5–26CrossRef Bushnell JB, Oren SS (1994) Bidder cost revelation in electric power auctions. J Regul Econ 6:5–26CrossRef
go back to reference Chao HP (2002) Multi-dimensional procurement auctions for power reserves: robust incentive-compatible scoring and settlement rules. J Regul Econ 22(2):161–183CrossRef Chao HP (2002) Multi-dimensional procurement auctions for power reserves: robust incentive-compatible scoring and settlement rules. J Regul Econ 22(2):161–183CrossRef
go back to reference Che YK (1993) Design competition through multidimensional auctions. RAND J Econ 24(4):668–680CrossRef Che YK (1993) Design competition through multidimensional auctions. RAND J Econ 24(4):668–680CrossRef
go back to reference Cripps M, Ireland NJ (1994) The design of auctions and tenders with quality thresholds: the symmetric case. Econ J 104(423):316–326CrossRef Cripps M, Ireland NJ (1994) The design of auctions and tenders with quality thresholds: the symmetric case. Econ J 104(423):316–326CrossRef
go back to reference Farrell MJ (1957) The measurement of production efficiency. J R Stat Soc Series A 120:253–261CrossRef Farrell MJ (1957) The measurement of production efficiency. J R Stat Soc Series A 120:253–261CrossRef
go back to reference Karakaya G, Koksalan M (2011) An interactive approach for multi-attribute auctions. Decis Support Syst 51(2):299–306CrossRef Karakaya G, Koksalan M (2011) An interactive approach for multi-attribute auctions. Decis Support Syst 51(2):299–306CrossRef
go back to reference Lai G, Li C, Sycara K, Giampapa J (2004) Robotics institute: literature review on multi-attribute negotiations. Tech. Rep. CMU-RI-TR-04-66, Carnegie Mellon University Lai G, Li C, Sycara K, Giampapa J (2004) Robotics institute: literature review on multi-attribute negotiations. Tech. Rep. CMU-RI-TR-04-66, Carnegie Mellon University
go back to reference Milgrom P (2000) An economist’s vision of the b-to-b marketplace. Tech. rep Milgrom P (2000) An economist’s vision of the b-to-b marketplace. Tech. rep
go back to reference Moulin H (1991) Axioms of cooperative decision making. Cambridge University Press, Cambridge Moulin H (1991) Axioms of cooperative decision making. Cambridge University Press, Cambridge
go back to reference Parkes D (2005) Auction design with costly preference elicitation. Ann Math Artif Intell 44(3):269–302CrossRef Parkes D (2005) Auction design with costly preference elicitation. Ann Math Artif Intell 44(3):269–302CrossRef
go back to reference Parkes D, Kalagnanam J (2005) Models for iterative multiattribute procurement auctions. Manag Sci 51:435–451CrossRef Parkes D, Kalagnanam J (2005) Models for iterative multiattribute procurement auctions. Manag Sci 51:435–451CrossRef
go back to reference Riley JG, Samuelson WF (1981) Optimal auctions. Am Econ Rev 71(3):381–392 Riley JG, Samuelson WF (1981) Optimal auctions. Am Econ Rev 71(3):381–392
go back to reference Teich JE, Wallenius H, Wallenius J, Koppius OR (2004) Emerging multiple issue e-auctions. Eur J Oper Res 159:1–16CrossRef Teich JE, Wallenius H, Wallenius J, Koppius OR (2004) Emerging multiple issue e-auctions. Eur J Oper Res 159:1–16CrossRef
go back to reference Teich JE, Wallenius H, Wallenius J, Zaitsev A (2006) A multi-attribute e-auction mechanism for procurement: theoretical foundations. Eur J Oper Res 175:90–100CrossRef Teich JE, Wallenius H, Wallenius J, Zaitsev A (2006) A multi-attribute e-auction mechanism for procurement: theoretical foundations. Eur J Oper Res 175:90–100CrossRef
go back to reference Tzeng GH, Huang JJ (2011) Multiple attribute decision making: methods and applications. Chapman and Hall, London Tzeng GH, Huang JJ (2011) Multiple attribute decision making: methods and applications. Chapman and Hall, London
go back to reference Yang N, Liao X, Huang WW (2014) Decision support for preference elicitation in multi-attribute electronic procurement auctions through an agent-based intermediary. Decis Support Syst 57:127–138CrossRef Yang N, Liao X, Huang WW (2014) Decision support for preference elicitation in multi-attribute electronic procurement auctions through an agent-based intermediary. Decis Support Syst 57:127–138CrossRef
Metadata
Title
A Sealed-Bid Two-Attribute Yardstick Auction Without Prior Scoring
Authors
Jens Leth Hougaard
Kurt Nielsen
Athanasios Papakonstantinou
Publication date
19-12-2015
Publisher
Springer Netherlands
Published in
Group Decision and Negotiation / Issue 4/2016
Print ISSN: 0926-2644
Electronic ISSN: 1572-9907
DOI
https://doi.org/10.1007/s10726-015-9463-5

Other articles of this Issue 4/2016

Group Decision and Negotiation 4/2016 Go to the issue