Proposed Framework for Applying Cumulative Prospect Theory to an Unbalanced Bidding Model
Publication: Journal of Construction Engineering and Management
Volume 137, Issue 12
Abstract
Recent research on unbalanced bidding models has identified both the benefits and the risks generated from different prices applied to the component items of a construction project. It has also been proposed that modern portfolio theory (MPT) be used as the technique by which to trade-off the conflicting objectives of maximizing the expected profit and, at the same time, minimizing the risk. The MPT methodology has previously been found to provide contractors with a technique by which they can identify and sift out all of the efficient item-price combinations, such that they need not suffer the consequences of deciding upon any substandard inefficient pricing combination. The use of MPT still leaves contractors with a wide range of choices. This paper introduces and applies microeconomic techniques [namely cumulative prospect theory (CPT)] to narrow these choices down to only one optimal choice. CPT serves to equate different return-risk alternatives to find the one set of item prices that will provide the optimal outcome in light of the contractor’s risk profile. The paper concludes by applying and evaluating this technique, on a small hypothetical project. Results show that a contractor with such a profile is able to identify prices that will generate an expected mean profit of 150%, more than they could accomplish by way of balanced pricing.
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References
Abdellaoui, M., Blaichrodt, H., and Paraschiv, C. (2007). “Loss aversion under prospect theory: A parameter-free measurement.” Manage. Sci., 53(10), 1659–1674.
Ahmad, S. (2001). “Hicks on capital.” John Hicks: His contributions to economic theory & application, K. Puttaswamaiah, ed., Transaction Publishers, London, 43–60.
Arditi, D., and Chotibhong, R. (2009). “Detection and prevention of unbalanced bids.” Constr. Manage. Econ., 27(8), 721–732.
Beeston, D. T. (1975). “One statistician’s view of estimating.” Chart. Surv., Build. Quantity Surv. Q, 12(4), 49–54.
Besley, S., and Brigham, Ė. F. (2007). Essentials of managerial finance. 14th Ed., Thomson Higher Education, Mason, OH.
Cattell, D. W. (2009). “Component unit pricing theory.” Ph.D. thesis, Dept. of Construction Economics and Management, Univ. of Cape Town, South Africa.
Cattell, D. W., Bowen, P. A., and Kaka, A. P. (2004). “A model to distribute mark-up amongst quotation component items: An outline.” Proc., 2nd Postgraduate Conf. on Construction Industry Development, Construction Industry Development Board, Cape Town, South Africa, 154–165.
Cattell, D. W., Bowen, P. A., and Kaka, A. P. (2007). “Review of unbalanced bidding models in construction.” J. Constr. Eng. Manage., 133(8), 562–573.
Cattell, D. W., Bowen, P. A., and Kaka, A. P. (2008). “A simplified unbalanced bidding model.” Constr. Manage. Econ., 26(12), 1283–1290.
Cattell, D. W., Bowen, P. A., and Kaka, A. P. (2010). “The risks of unbalanced bidding.” Constr. Manage. Econ., 28(4), 333–344.
Chipman, J. S. (1995). “Hicksian welfare economics.” The legacy of Hicks, H. Hagemann and O. F. Hamouda, eds., Routledge, London, 93–142.
Diekmann, J. E., Mayer, R. H., Jr., and Stark, R. M. (1982). “Coping with uncertainty in unit price contracting.” J. Constr. Eng. Manage., 108(C03), 379–389.
Ellsberg, D. (1961). “Risk, ambiguity, and the savage axioms.” Q. J. Econ., 75(4), 643–669.
Fennema, H., and Wakker, P. (1997). “Original and cumulative prospect theory: A discussion of empirical differences.” J. Behav. Decis. Making, 10(1), 53–64.
Fishburn, P. C. (1989). “Retrospective on the utility theory of von Neumann and Morgenstern.” J. Risk Uncertainty, 2(2), 127–158.
Gates, M. (1959). “Aspects of competitive bidding.” Annual Report, Connecticut Society of Civil Engineers, Hartford, CT.
Kahneman, D. (2002). “Maps of bounded rationality.” Prize Lecture, The Nobel Foundation. 〈http://nobelprize.org/nobel_prizes/economics/laureates/2002/kahneman-lecture.html〉 (Nov. 25, 2011).
Kahneman, D., and Lovallo, D. (1993). “Timing choices and bold forecasts: A cognitive perspective on risk taking.” Manage. Sci., 39(1), 17–31.
Kahneman, D., and Tversky, A. (1979). “Prospect theory: An analysis of decision under risk.” Econometrica, 47(2), 263–291.
Keeney, R. L., and Raiffa, H. (1993). Decisions with multiple objectives: Preferences and value tradeoffs, 2nd Ed., Cambridge University Press, New York.
Kenley, R. (2003). Financing Construction: Cash flows and cash farming, Spon, London.
Loomes, G., and Sugden, R. (1995). “Incorporating a stochastic element into decision theories.” Eur. Econ. Rev., 39(3–4), 641–648.
Liu, S., Lai, K. K., and Wang, S. (2003). “Several mathematical models for competitive bidding and auctions.” 〈http://site.uibe.edu.cn/JMTMSUI/UploadFiles/Files/lsl2.pdf〉 (Nov. 25, 2011).
Manganele, S., and Engle, R. F. (2001). “Value at risk models in finance.” Working Paper Series, No. 75, European Central Bank, Germany.
Mayer, R. H., and Diekmann, R. E. (1982). “Enhancing profitability for unit price contracts.” AACE Transactions, American Association of Cost Engineers, Houston, M.3.1–M.3.7.
Markowitz, H. M. (1952). “Portfolio selection.” J. Finance, 7(1), 77–91.
Markowitz, H. M. (1990). “Foundations of portfolio theory.” Nobel lectures in economic sciences 1981-1990, K.-G. Mäler, ed., World Scientific, Singapore, 279–288.
Morgan, J. P. (1994). RiskMetrics technical document, 2nd Ed., Morgan Guarantee Trust Company, New York.
Persky, J. (1995). “Retrospectives: The ethology of Homo Economicus.” J. Econ. Perspect., 9(2), 221–231.
Quiggin, J. (1982). “A theory of anticipated utility.” J. Econ. Behav. Organ., 3(4), 323–343.
Skitmore, R. M., and Cattell, D. W. (2010). “On being balanced in an unbalanced world.” J. Oper. Res. Soc., in press.
Stott, H. P. (2006). “Cumulative prospect theory’s functional menagerie.” J. Risk Uncertainty, 32(2), 101–130.
Strotz, R. H. (1953). “Cardinal Utility.” Am. Econ. Rev., 43(2), 384–397.
Tvede, L. (1999). The psychology of finance, Wiley, New York.
Tversky, A., and Kahneman, D. (1992). “Advances in prospect theory: Cumulative representation of uncertainty.” J. Risk Uncertainty, 5(4), 297–323.
von Neumann, J., Morgenstern, O., and Kuhn, H. W. (1944). “Section 3: The notion of utility.” Chapter I, Theory of games and economic behavior, Princeton University, Princeton, NJ.
Webster, T. J. (2003). Managerial economics: Theory and practice, Academic, New York.
Willenbrock, J. H. (1973). “Utility function determination for bidding models.” J. Constr. Div., 99(1), 133–153.
Information & Authors
Information
Published In
Journal of Construction Engineering and Management
Volume 137 • Issue 12 • December 2011
Pages: 1052 - 1059
Copyright
© 2011 American Society of Civil Engineers.
History
Received: Nov 27, 2009
Accepted: Feb 7, 2011
Published online: Feb 10, 2011
Published in print: Dec 1, 2011
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