运筹与管理 ›› 2025, Vol. 34 ›› Issue (10): 205-211.DOI: 10.12005/orms.2025.0330

• 应用研究 • 上一篇    下一篇

基于损失规避Nash谈判的交通BOT项目回购博弈

冯中伟1, 李芳宁2, 杨玉中3   

  1. 1.河南理工大学 工商管理学院,河南 焦作 454000;
    2.四川大学 商学院,四川 成都 610064;
    3.河南理工大学 能源科学与工程学院,河南 焦作 454000
  • 收稿日期:2023-05-23 出版日期:2025-10-25 发布日期:2026-02-27
  • 通讯作者: 冯中伟(1988-),男,河南民权人,博士,研究方向:博弈论理论及应用研究,供应链管理。Email: fzw881024@hpu.edu.cn。
  • 基金资助:
    国家自然科学基金资助项目(U1904210);河南省软科学研究项目(252400411149)

Nash Bargaining Game with Loss Aversion for Repurchasing Traffic BOT Project

FENG Zhongwei1, LI Fangning2, YANG Yuzhong3   

  1. 1. School of Business Administration, Henan Polytechnic University, Jiaozuo 454000, China;
    2. Business School, Sichuan University, Chengdu 610064, China;
    3. School of Energy Science and Engineering, Henan Polytechnic University, Jiaozuo 454000, China
  • Received:2023-05-23 Online:2025-10-25 Published:2026-02-27

摘要: 为建立一种合理、公平的提前终止的交通BOT项目回购补偿决策机制,考虑企业与政府具有损失厌恶行为,在政府可能投资新建道路的情形下,构建损失规避Nash谈判博弈模型,探讨损失规避行为对回购补偿金额的影响,并分析政府回购交通BOT项目的条件。发现:新建道路吸引的交通量越多,政府向企业支付的回购补偿越小;政府向企业支付的回购补偿与政府(企业)的损失规避呈正(负)相关性;当政府的投资成本充分低(或高)时,政府选择新建道路(回购现有BOT项目),否则,政府的策略选择(新建道路或回购现有BOT项目)取决于其与企业的损失规避水平。

关键词: BOT, 损失规避, 回购补偿, Nash谈判

Abstract: BOT(Build-Operate-Transfer) projects are used to reduce the financial burden on the government incurred from improving the economy and the quality of services. Under a BOT scheme, during the concession period, the enterprise undertakes finance, construction, operation and maintenance of an infrastructure, while the government allows the enterprise to charge tolls from users. However, the unfairness in the design of the risk allocation mechanism and the irrationality in decision-making have brought enormous difficulties for enterprises to recover their investment costs, which in turn has led to the early termination of transportation BOT projects. Early termination severely impacts participating enterprises. To address this, governments and enterprises may agree on buybacks, where government compensation is critical to successful buybacks. Existing compensation calculation methods, however, are irrational and unfair, causing endless disputes and heavy losses. Thus, the Nash bargaining game is adopted, as its solution satisfies axioms like Pareto efficiency and symmetry, balancing fairness and efficiency in distributing the “bargaining pie”.
In a real-world bargaining game, persons usually evaluate concessions made by themselves as their own losses, which implies that the aversion to concessions is the aversion to losses. The profit seeking nature of an enterprise indicates its tendency to avoid losses, while the government may also be loss averse. In the buyback compensation negotiation of traffic BOT projects, the success of compensation negotiations requires mutual concessions between the enterprise and the government. The aversion to concessions means that the enterprise and the government have the behavioral characteristics of avoiding losses. Therefore, it is crucial to construct a new compensation negotiation game model with loss aversion by adopting Nash bargaining, which is of great significance for the design of franchise contracts for traffic BOT projects.
The results in our work are shown as follows: (1)The more traffic attracted by the newly built road, the smaller the buyback compensation paid by the government to the enterprise. (2)The buyback compensation paid by the government to the enterprise is positively (or negatively) correlated with the loss aversion of the government (or the enterprise). (3)When the investment cost of the government is sufficiently low, the government will build a new road. With an increase in the investment cost, the greater the enterprise’s (or government’s) level of loss aversion is, the more likely the government will repurchase the traffic BOT project (or build a new road). When the investment cost further increases to a higher level, the government chooses to repurchase the traffic BOT project.
In future research, considering the variable investment cost of new roads, the compensation issue will be studied when the government repurchases the early terminating traffic BOT projects. On the other hand, the complexity and uncertainty of repurchasing early terminating traffic BOT projects hinder the government and the enterprise from obtaining sufficient information. Therefore, another future research is to investigate the buyback bargaining with incomplete information between the government and the enterprise.

Key words: BOT, loss aversion, buyback compensation, Nash bargaining

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