Friedman’s Bidding Model: Errors and Corrections
Publication: Journal of Construction Engineering and Management
Volume 145, Issue 10
Abstract
Friedman’s classic 1956 bidding model for the case in which a contractor is bidding against an unknown number of opponents applies Friedman’s multiplicative model for the probability to win, which applies only when bidding against at least one opponent, to the case in which the number of opponents is zero, to which it does not apply. Thus, both the resulting general equations and the examples for the probability to win, as well as those for expected profit, are incorrect. Moreover, the example graphs offered are not true representations of these incorrect equations. The causes and consequences of these errors are described in detail and new equations are offered as replacements. Exact graphs of the incorrect equations as well as of their replacements are presented. Four new bidding models are developed by which a contractor can find the optimum bid price that maximizes expected profit when the number of opponents is unknown and could be zero. These include the case of an owner with a reserve price that leads to a distinct and novel bidding strategy.
Get full access to this article
View all available purchase options and get full access to this article.
Data Availability Statement
All data generated or analyzed during the study are included in the published paper. Information about the Journal’s data-sharing policy can be found here: http://ascelibrary.org/doi/10.1061/(ASCE)CO.1943-7862.0001263.
Acknowledgments
The author recognizes and thanks the anonymous reviewers of this paper for their insightful comments.
References
AIA (American Institute of Architects). 1997. Instructions to bidders. AIA-A701. Washington, DC: AIA.
Benjamin, N. B. H., and R. C. Meador. 1979. “Comparison of Friedman and Gates competitive bidding models.” J. Constr. Div. 105 (1): 25–40.
Carr, R. I. 1982. “General bidding model.” J. Constr. Div. 108 (4): 639–650.
Clough, R. H., G. A. Sears, and S. K. Sears. 2015. Construction contracting: A practical guide to company management, 164. Hoboken, NJ: Wiley.
Dixie, J. M. 1974. “Bidding models: The final resolution of a controversy.” J. Constr. Div. 100 (3): 265–271.
Friedman, L. 1956. “A competitive bidding strategy.” Oper. Res. 4 (1): 104–112. https://doi.org/10.1287/opre.4.1.104.
Gates, M. 1967. “Bidding strategies and probabilities.” J. Constr. Div. 93 (1): 75–103.
Grogan, T. 1992. “Low bids raise hidden costs.” ENR, March 30, 1992.
Ioannou, P. G. 1988. “Bidding models: Symmetry and state of information.” J. Constr. Eng. Manage. 114 (2): 214–232. https://doi.org/10.1061/(ASCE)0733-9364(1988)114:2(214).
Ioannou, P. G., and R. Awwad. 2010. “Below-average bidding method.” J. Constr. Eng. Manage. 136 (9): 936–946. https://doi.org/10.1061/(ASCE)CO.1943-7862.0000202.
Ioannou, P. G., and S. S. Leu. 1993. “Average bid method: A competitive bidding strategy.” J. Constr. Eng. Manage. 199 (1): 131–147. https://doi.org/10.1061/(ASCE)0733-9364(1993)119:1(131).
Law, A. M. 2014. Simulation modeling and analysis. 5th ed. New York: McGraw-Hill.
Rosenshine, M. 1972. “Bidding models: Resolution of a controversy.” J. Constr. Div. 98 (1): 143–148.
Rothkopf, M. H. 2007. “Decision analysis: The right tool for auctions.” Decis. Anal. 4 (3): 167–172. https://doi.org/10.1287/deca.1070.0097.
Takano, Y., N. Ishii, and M. Muraki. 2018. “Determining bid markup and resources allocated to cost estimation in competitive bidding.” Autom. Constr. 85: 358–368. https://doi.org/10.1016/j.autcon.2017.06.007.
Information & Authors
Information
Published In
Copyright
©2019 American Society of Civil Engineers.
History
Received: Apr 25, 2018
Accepted: Feb 15, 2019
Published online: Aug 5, 2019
Published in print: Oct 1, 2019
Discussion open until: Jan 5, 2020
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.