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Using Nash bargaining to design project management contracts under cost uncertainty

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  • Lippman, Steven A.
  • McCardle, Kevin F.
  • Tang, Christopher S.

Abstract

In the design of procurement contracts, cost sharing, wherein the contractor receives a fixed fee plus a fraction of his cost, is common when the cost for completing the project is uncertain. We determine the best cost-sharing contract between a risk-neutral project manager and a risk-averse contractor when negotiation proceeds in accord with Nash bargaining. We examine the characteristics of the contract when the contractor can invest to reduce the mean and/or the uncertainty of the project cost. We show that cost-plus contracts dominate fixed-price contracts as well as all other cost-sharing contracts. In order to extend our analysis to the case when the value of the project itself is uncertain, we employ the recent method of embedded Nash bargaining. Finally, we generalize our main result by allowing an asymmetric Nash bargaining solution.

Suggested Citation

  • Lippman, Steven A. & McCardle, Kevin F. & Tang, Christopher S., 2013. "Using Nash bargaining to design project management contracts under cost uncertainty," International Journal of Production Economics, Elsevier, vol. 145(1), pages 199-207.
    • Handle: RePEc:eee:proeco:v:145:y:2013:i:1:p:199-207
    DOI: 10.1016/j.ijpe.2013.04.036
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    1. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
    2. Bajari, Patrick & Tadelis, Steven, 2001. "Incentives versus Transaction Costs: A Theory of Procurement Contracts," RAND Journal of Economics, The RAND Corporation, vol. 32(3), pages 387-407, Autumn.
    3. Patrick Bolton & Mathias Dewatripont, 2005. "Contract Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262025760, December.
    4. Haresh Gurnani & Mengze Shi, 2006. "A Bargaining Model for a First-Time Interaction Under Asymmetric Beliefs of Supply Reliability," Management Science, INFORMS, vol. 52(6), pages 865-880, June.
    5. James S. Dyer & Rakesh K. Sarin, 1982. "Relative Risk Aversion," Management Science, INFORMS, vol. 28(8), pages 875-886, August.
    6. H. Dharma Kwon & Steven A. Lippman & Kevin F. McCardle & Christopher S. Tang, 2010. "Project Management Contracts with Delayed Payments," Manufacturing & Service Operations Management, INFORMS, vol. 12(4), pages 692-707, October.
    7. Hiller, John R & Tollison, Robert D, 1978. "Incentive versus Cost-Plus Contracts in Defense Procurement," Journal of Industrial Economics, Wiley Blackwell, vol. 26(3), pages 239-248, March.
    8. Dharma Kwon, H. & Lippman, Steven A. & Tang, Christopher S., 2010. "Optimal time-based and cost-based coordinated project contracts with unobservable work rates," International Journal of Production Economics, Elsevier, vol. 126(2), pages 247-254, August.
    9. Philippe Delquié, 2008. "Interpretation of the Risk Tolerance Coefficient in Terms of Maximum Acceptable Loss," Decision Analysis, INFORMS, vol. 5(1), pages 5-9, March.
    10. Nagarajan, Mahesh & Sosic, Greys, 2008. "Game-theoretic analysis of cooperation among supply chain agents: Review and extensions," European Journal of Operational Research, Elsevier, vol. 187(3), pages 719-745, June.
    11. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    12. Tang, Christopher S., 2006. "Perspectives in supply chain risk management," International Journal of Production Economics, Elsevier, vol. 103(2), pages 451-488, October.
    13. Jean-Jacques Laffont & Jean Tirole, 1993. "A Theory of Incentives in Procurement and Regulation," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262121743, December.
    14. Turner, J.R., 2001. "Project Contract Management and a Theory of Organization," ERIM Report Series Research in Management ERS-2001-43-ORG, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    15. John C. Harsanyi & Reinhard Selten, 1972. "A Generalized Nash Solution for Two-Person Bargaining Games with Incomplete Information," Management Science, INFORMS, vol. 18(5-Part-2), pages 80-106, January.
    16. McCall, J J, 1970. "The Simple Economics of Incentive Contracting," American Economic Review, American Economic Association, vol. 60(5), pages 837-846, December.
    17. Steven A. Lippman & Kevin F. McCardle, 2004. "Sex, Lies, and the Hillblom Estate: A Decision Analysis," Decision Analysis, INFORMS, vol. 1(3), pages 149-166, September.
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    Cited by:

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    2. Luong, Phat V. & Xu, Xiaowei, 2020. "Pass-through of commodity price shocks in distribution channels with risk-averse agents," International Journal of Production Economics, Elsevier, vol. 226(C).
    3. Yigal Gerchak & Eugene Khmelnitsky, 2019. "Bargaining over shares of uncertain future profits," EURO Journal on Decision Processes, Springer;EURO - The Association of European Operational Research Societies, vol. 7(1), pages 55-68, May.
    4. Zheng, Shiyuan & Negenborn, Rudy R., 2015. "Price negotiation between supplier and buyer under uncertainty with fixed demand and elastic demand," International Journal of Production Economics, Elsevier, vol. 167(C), pages 35-44.
    5. Jackson, Canek & Pascual, Rodrigo, 2021. "Joint pricing and maintenance strategies in availability-based product-service systems under different overhaul conditions," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
    6. Palit, Niladri & Brint, Andrew, 2020. "A win-win supply chain solution using project contracts with bargaining games," Operations Research Perspectives, Elsevier, vol. 7(C).
    7. Luo, Chunlin & Zhou, Xiaoyang & Lev, Benjamin, 2022. "Core, shapley value, nucleolus and nash bargaining solution: A Survey of recent developments and applications in operations management," Omega, Elsevier, vol. 110(C).
    8. Palit, Niladri & Brint, Andrew, 2020. "The effect of risk aversion on the optimal project resource rate," European Journal of Operational Research, Elsevier, vol. 287(3), pages 1092-1104.
    9. Kerkhove, L.P. & Vanhoucke, M., 2016. "Incentive contract design for projects: The owner׳s perspective," Omega, Elsevier, vol. 62(C), pages 93-114.
    10. Mahendra Piraveenan, 2019. "Applications of Game Theory in Project Management: A Structured Review and Analysis," Mathematics, MDPI, vol. 7(9), pages 1-31, September.

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