Technical Papers
Oct 16, 2023

Cooperative Behavior, Supervision, and Contract Choice in PPP Projects: An Evolutionary Game Theory Approach Incorporating an Other-Regarding Preference

Publication: Journal of Construction Engineering and Management
Volume 149, Issue 12

Abstract

Rigid and flexible contracts, both of which have advantages and disadvantages, are widely used in public–private partnership (PPP) projects. How to choose an appropriate contract type to improve the performance of PPP projects is an important issue that governments need to address. The literature has focused mainly on the strategy evolution of governments and private investors under rigid contracts but has not considered the influence of contract type (rigid versus flexible) on their strategy evolution. In this study, by incorporating an other-regarding preference, evolutionary game models under rigid and flexible contracts in PPP projects are established. We compare the government’s supervision strategy and the private investor’s cooperation strategy under these two types of contracts and summarize the applicable situations. Our research results show that the type of contract (rigid or flexible) will not affect the government’s supervision strategy but will affect the cooperative strategy of the private investor. The applicable conditions of these two types of contracts are determined by profit sharing, the government’s expectation of the project performance, and the discount rate as well as other factors. There is no cross-influence between the government and private investor’s other-regarding preferences. The private investor’s other-regarding preference is conducive to reducing some opportunistic behaviors that cause damage to social welfare and in promoting cooperative behavior. This paper contributes to the literature on PPP project contract design by providing the applicable conditions for rigid and flexible contracts as well as contract choice suggestions for project managers in PPP projects.

Practical Applications

Choosing a proper contract type is important for the success of PPP projects. This study compares the strategy choices of government and private investors under rigid and flexible contracts, presents the applicability of those two contracts, and provides managerial insights and suggestions for the government to choose a suitable contract type and enhance project performance. First, for projects with small-scale or easy tasks for which private investors need to expend only a low level of effort, the government can pay less attention to the contract type. Second, for projects that have high prospects, i.e., will have high performance in the future (for example, infrastructure PPP projects in cities’ core areas), a flexible contract outperforms a rigid contract. Otherwise, a rigid contract outperforms a flexible one. Third, governments should pay more attention to the preliminary feasibility study of a project to avoid either over- or underconfidence and ensure a proper contract choice. Fourth, the government should focus on examining private investors’ personal abilities and behavioral preferences and choose private investors with high-capacity endowments and other-regarding preferences. Finally, increasing penalties for opportunistic behavior is not an efficient strategy for the government when a private investor has high cooperation motivation.

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Data Availability Statement

Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.

Acknowledgments

We acknowledge the support of this project by the National Natural Science Foundation of China (Grant nos. 72271246, 71872180). We also thank the reviewers for their comments.

References

Athias, L., and S. Saussier. 2018. “Are public private partnerships that rigid? And why? Evidence from price provisions in French toll road concession contracts.” Transp. Res. Part A: Policy Pract. 111 (May): 174–186. https://doi.org/10.1016/j.tra.2018.02.011.
Axelrod, R., and W. D. Hamilton. 1981. “The evolution of cooperation.” Science 211 (4489): 1390–1396. https://doi.org/10.1126/science.7466396.
Banerjee, S., and S. Chakraborty. 2023. “Optimal incentive contracts with a spiteful principal: Single agent.” Math. Social Sci. 122 (Mar): 29–41. https://doi.org/10.1016/j.mathsocsci.2023.01.005.
Bellman, R. 1952. “On the theory of dynamic programming.” Proc. Natl. Acad. Sci. 38 (8): 716–719. https://doi.org/10.1073/pnas.38.8.716.
Bigsten, A., et al. 2000. “Contract flexibility and dispute resolution in African manufacturing.” J. Dev. Stud. 36 (4): 1–37. https://doi.org/10.1080/00220380008422635.
Buso, M., M. Moretto, and D. Zormpas. 2021. “Excess returns in public-private partnerships: Do governments pay too much?” Econ. Modell. 102 (Sep): 105586. https://doi.org/10.1016/j.econmod.2021.105586.
Cruz, C. O., and R. C. Marques. 2013. “Flexible contracts to cope with uncertainty in public–private partnerships.” Int. J. Project Manage. 31 (3): 473–483. https://doi.org/10.1016/j.ijproman.2012.09.006.
Demirel, H. Ç., W. Leendertse, L. Volker, and M. Hertogh. 2017. “Flexibility in PPP contracts—Dealing with potential change in the pre-contract phase of a construction project.” Construct. Manage. Econ. 35 (4): 196–206. https://doi.org/10.1080/01446193.2016.1241414.
Demirel, H. Ç., L. Volker, W. Leendertse, and M. Hertogh. 2019. “Dealing with contract variations in PPPs: Social mechanisms and contract management in infrastructure projects.” J. Constr. Eng. Manage. 145 (11): 04019073. https://doi.org/10.1061/(ASCE)CO.1943-7862.0001714.
Domingues, S., and D. Zlatkovic. 2015. “Renegotiating PPP contracts: Reinforcing the ‘P’ in partnership.” Transport Rev. 35 (2): 204–225. https://doi.org/10.1080/01441647.2014.992495.
Dong, F., and N. Chiara. 2010. “Improving economic efficiency of public-private partnerships for infrastructure development by contractual flexibility analysis in a highly uncertain context.” J. Struct. Finance 16 (1): 87–99. https://doi.org/10.3905/jsf.2010.2010.1.002.
Dreber, A., D. G. Rand, D. Fudenberg, and M. A. Nowak. 2008. “Winners don’t punish.” Nature 452 (7185): 348–351. https://doi.org/10.1038/nature06723.
Feng, X., J. Cao, G. Wu, and K. Duan. 2023. “A critical review of studies on renegotiation within the public-private partnerships (PPPs) scheme.” Eng. Constr. Archit. Manage. 30 (8): 3674–3695. https://doi.org/10.1108/ECAM-09-2021-0790.
Friedman, D. 1991. “Evolutionary games in economics.” Econometrica 59 (3): 637–666. https://doi.org/10.2307/2938222.
Gao, R., and J. Liu. 2019. “Selection of government supervision mode of PPP projects during the operation stage.” Construct. Manage. Econ. 37 (10): 584–603. https://doi.org/10.1080/01446193.2018.1564347.
Gottardi, P., J. M. Tallon, and P. Ghirardato. 2017. “Flexible contracts.” Games Econ. Behav. 103 (May): 145–167. https://doi.org/10.1016/j.geb.2016.01.013.
Guo, K., L. Zhang, and T. Wang. 2021. “Concession period optimisation in complex projects under uncertainty: A public–private partnership perspective.” Construct. Manage. Econ. 39 (2): 156–172. https://doi.org/10.1080/01446193.2020.1849752.
He, H., L. Zheng, and G. Zhou. 2022. “Linking users as private partners of utility tunnel public–private partnership projects.” Tunnelling Underground Space Technol. 119 (Jan): 104249. https://doi.org/10.1016/j.tust.2021.104249.
He, Y., L. Shi, and Z. Li. 2021. “The combined effect of marginal social and private benefit on the socially optimal equity structure of PPP projects.” Construct. Manage. Econ. 39 (10): 807–823. https://doi.org/10.1080/01446193.2021.1974503.
Herrmann, B., C. Thöni, and S. Gächter. 2008. “Antisocial punishment across societies.” Science 319 (5868): 1362–1367. https://doi.org/10.1126/science.1153808.
Holmstrom, B. 1999. “Managerial incentive problems: A dynamic perspective.” Rev. Econ. Stud. 66 (1): 169–182. https://doi.org/10.1111/1467-937X.00083.
Irwin, K., L. Mulder, and B. Simpson. 2014. “The detrimental effects of sanctions on intragroup trust: Comparing punishments and rewards.” Social Psychol. Q. 77 (3): 253–272. https://doi.org/10.1177/0190272513518803.
Jin, H., S. Liu, J. Li, and C. Liu. 2023. “Determination of government guarantee and revenue cap in public–private partnership contracts.” Eng. Constr. Archit. Manage. 30 (2): 393–414. https://doi.org/10.1108/ECAM-06-2019-0311.
Koch, S., and P. Weinschenk. 2021. “Contract design with socially attentive preferences.” Games Econ. Behav. 130 (Nov): 591–601. https://doi.org/10.1016/j.geb.2021.10.002.
Laffont, J. J., and D. Martimort. 2009. The theory of incentives: The principal-agent model. Princeton, NJ: Princeton University Press.
Leppänen, I. 2016. “Consistent conjectures and the evolutionary stability of other-regarding preferences.” Econ. Lett. 142 (May): 53–55. https://doi.org/10.1016/j.econlet.2016.03.004.
Leppänen, I. 2018. “Evolutionarily stable conjectures and other regarding preferences in duopoly games.” J. Evol. Econ. 28 (2): 347–364. https://doi.org/10.1007/s00191-017-0529-1.
Li, H., L. Lv, J. Zuo, L. Su, L. Wang, and C. Yuan. 2020. “Dynamic reputation incentive mechanism for urban water environment treatment PPP projects.” J. Constr. Eng. Manage. 146 (8): 04020088. https://doi.org/10.1061/(ASCE)CO.1943-7862.0001879.
Li, H., L. Su, J. Zuo, X. Zhao, R. Chang, and F. Wang. 2022. “Incentive mechanism for performance-based payment of infrastructure PPP projects: Coupling of reputation and ratchet effects.” Int. J. Strategic Property Manage. 26 (1): 35–55. https://doi.org/10.3846/ijspm.2022.15969.
Liu, J., R. Gao, C. Y. Cheah, and J. Luo. 2016. “Incentive mechanism for inhibiting investors’ opportunistic behavior in PPP projects.” Int. J. Project Manage. 34 (7): 1102–1111. https://doi.org/10.1016/j.ijproman.2016.05.013.
Liu, J., R. Gao, C. Y. Cheah, and J. Luo. 2017. “Evolutionary game of investors’ opportunistic behavior during the operational period in PPP projects.” Construct. Manage. Econ. 35 (3): 137–153. https://doi.org/10.1080/01446193.2016.1237033.
Martimort, D., and J. Pouyet. 2008. “To build or not to build: Normative and positive theories of public–private partnerships.” Int. J. Ind. Organ. 26 (2): 393–411. https://doi.org/10.1016/j.ijindorg.2006.10.004.
Melese, Y., P. Heijnen, R. Stikkelman, and P. Herder. 2017. “An approach for flexible design of infrastructure networks via a risk sharing contract: The case of CO2 transport infrastructure.” Int. J. Greenhouse Gas Control 63 (Aug): 401–411. https://doi.org/10.1016/j.ijggc.2017.06.006.
Peng, D., and X. Zeng. 2022. “The evolution of opportunistic behavior of participating subjects during the operation period of PPP projects.” Comput. Intell. Neurosci. 2022 (Apr): 8450529. https://doi.org/10.1155/2022/8450529.
Rabin, M. 1993. “Incorporating fairness into game theory and economics.” Am. Econ. Rev. 83 (5): 1281–1302. https://doi.org/10.2307/j.ctvcm4j8j.15.
Rand, D. G., A. Dreber, T. Ellingsen, D. Fudenberg, and M. A. Nowak. 2009. “Positive interactions promote public cooperation.” Science 325 (5945): 1272–1275. https://doi.org/10.1126/science.1177418.
Sharma, D. K., Q. Cui, L. Chen, and J. K. Lindly. 2010. “Balancing private and public interests in public–private partnership contracts through optimization of equity capital structure.” Transp. Res. Rec. 2151 (1): 60–66. https://doi.org/10.3141/2151-08.
Shi, G., and X. Zhang. 2022. “Development of a regulatory mechanism for key stages in public–private partnerships.” J. Infrastruct. Syst. 28 (3): 04022017. https://doi.org/10.1061/(ASCE)IS.1943-555X.0000697.
Smith, J., and G. R. Price. 1973. “The logic of animal conflict.” Nature 246 (5427): 15–18. https://doi.org/10.1038/246015a0.
Song, D., J. Song, H. Yuan, and Y. Fan. 2021. “An evolutionary game analysis of user-pay public–private partnership projects.” Eng. Constr. Archit. Manage. 28 (7): 2042–2062. https://doi.org/10.1108/ECAM-06-2020-0460.
Spiller, P. T. 2013. “Transaction cost regulation.” J. Econ. Behav. Organ. 89 (May): 232–242. https://doi.org/10.1016/j.jebo.2012.03.002.
Suprapto, M., H. L. Bakker, H. G. Mooi, and M. J. Hertogh. 2016. “How do contract types and incentives matter to project performance?” Int. J. Project Manage. 34 (6): 1071–1087. https://doi.org/10.1016/j.ijproman.2015.08.003.
Tan, Z., and H. Yang. 2012. “Flexible build-operate-transfer contracts for road franchising under demand uncertainty.” Transp. Res. Part B: Methodol. 46 (10): 1419–1439. https://doi.org/10.1016/j.trb.2012.07.001.
The State Council the People’s Republic of China. 2016. “Interim measures for the financial management of cooperation projects between the government and private investor.” Accessed January 20, 2023. http://www.gov.cn/xinwen/2016-10/21/content_5122668.htm.
Tirole, J. 1994. “The internal organization of government.” Oxford Econ. Papers 46 (1): 1–29. https://doi.org/10.1093/oxfordjournals.oep.a042114.
Wang, D.-Y., and X. Wang. 2022. “Dynamic incentives for inhibiting private sectors' opportunistic effort diversion in infrastructure PPP projects: An optimal control perspective.” Eng. Constr. Archit. Manage. https://doi.org/10.1108/ECAM-10-2021-0876.
Wang, Y., P. Cui, and J. Liu. 2018. “Analysis of the risk-sharing ratio in PPP projects based on government minimum revenue guarantees.” Int. J. Project Manage. 36 (6): 899–909. https://doi.org/10.1016/j.ijproman.2018.01.007.
Wang, Y., and J. Liu. 2015. “Evaluation of the excess revenue sharing ratio in PPP projects using principal–agent models.” Int. J. Projection Manage. 33 (6): 1317–1324. https://doi.org/10.1016/j.ijproman.2015.03.002.
Wang, Y., J. Liu, R. Gao, and B. G. Hwang. 2020. “Government subsidies in public–private partnership projects based on altruistic theory.” Int. J. Strategic Property Manage. 24 (3): 153–164. https://doi.org/10.3846/ijspm.2020.11545.
Xing, H., Y. Li, and H. Li. 2020. “Renegotiation strategy of public–private partnership projects with asymmetric information—An evolutionary game approach.” Sustainability 12 (7): 2646. https://doi.org/10.3390/su12072646.
Xiong, W., and Y. Han. 2023. “Incentives of early termination compensation in public–private partnership projects.” IEEE Trans. Eng. Manage. 70 (6): 2220–2232. https://doi.org/10.1109/TEM.2021.3074662.
Xu, Y., H.-Y. Chong, and M. Chi. 2022. “Impact of contractual flexibility on BIM-enabled PPP project performance during the construction phase.” J. Infrastruct. Syst. 28 (1): 04021057. https://doi.org/10.1061/(ASCE)IS.1943-555X.0000671.
Zhang, H., L. Yu, and W. Zhang. 2020. “Dynamic performance incentive model with supervision mechanism for PPP projects.” Eng. Constr. Archit. Manage. 27 (9): 2643–2659. https://doi.org/10.1108/ECAM-09-2019-0472.
Zhang, S., J. Li, Y. Li, and X. Zhang. 2021. “Revenue risk allocation mechanism in public-private partnership projects: Swing option approach.” J. Constr. Eng. Manage. 147 (11): 04020153. https://doi.org/10.1061/(ASCE)CO.1943-7862.0001952.
Zhang, X., and J. Liu. 2022. “Incentive mechanism and value-added in PPP projects considering financial institutions’ early intervention.” J. Constr. Eng. Manage. 148 (4): 04022001. https://doi.org/10.1061/(ASCE)CO.1943-7862.0002248.

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Go to Journal of Construction Engineering and Management
Journal of Construction Engineering and Management
Volume 149Issue 12December 2023

History

Received: Apr 9, 2023
Accepted: Aug 30, 2023
Published online: Oct 16, 2023
Published in print: Dec 1, 2023
Discussion open until: Mar 16, 2024

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Associate Professor, Dept. of Finance, Zhongnan Univ. of Economics and Law, No. 182# Nanhu Ave., East Lake High-Tech Development Zone, Wuhan, Hubei 430073, China (corresponding author). ORCID: https://orcid.org/0000-0002-7251-7602. Email: [email protected]
Hongju Huang [email protected]
Master’s Candidate, Dept. of Finance, Zhongnan Univ. of Economics and Law, No. 182# Nanhu Ave., East Lake High-Tech Development Zone, Wuhan, Hubei 430073, China. Email: [email protected]

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