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中国管理科学 ›› 2017, Vol. 25 ›› Issue (6): 121-131.doi: 10.16381/j.cnki.issn1003-207x.2017.06.013

• 论文 • 上一篇    下一篇

链式多重委托-代理关系的激励——基于完全理性与过程性公平偏好模型的比较

赵宸元1, 蒲勇健1, 潘林伟2   

  1. 1. 重庆大学经济与工商管理学院, 重庆 400044;
    2. 重庆交通大学经济与管理学院, 重庆 400074
  • 收稿日期:2015-08-23 修回日期:2016-10-03 出版日期:2017-06-20 发布日期:2017-08-26
  • 通讯作者: 赵宸元(1985-),男(汉族),河南平顶山人,重庆大学经济与工商管理学院博士研究生,研究方向:数量经济、博弈论、金融市场与政府行为,E-mail:cy.zhao@cqu.edu.cn. E-mail:cy.zhao@cqu.edu.cn.
  • 基金资助:

    国家社会科学基金资助项目(14XJL004);重庆市“两江学者”计划专项经费特聘教授资助项目

The Incentive Mechanism of Chain-like Multiple Principal-Agent Model——A Comparative Study Based on Entirely Rational and Process Fairness Preference Model

ZHAO Chen-yuan1, PU Yong-jian1, PAN Lin-wei2   

  1. 1. College of Economics and Business Administration, Chongqing University, Chongqing 400044, China;
    2. School of Economic and Management, Chongqing Jiaotong University, Chongqing 400074, China
  • Received:2015-08-23 Revised:2016-10-03 Online:2017-06-20 Published:2017-08-26

摘要: 本文以传统Holmstrom-Milgrom模型为基础,建立了一个链式多重委托代理结构。以链式双重委托-代理模型为例,本文首先考察了纯委托人、中间人和纯代理人都是完全理性时的情况,通过模型分析发现:在每一层委托-代理关系中,委托人给予代理人的产出分享比例越大,越能激励代理人付出更多的努力,但是代理人的风险规避会减弱这种激励效果。进一步,本文基于Rabin的过程性公平偏好理论,重构考虑过程性公平偏好的链式双重委托-代理模型,研究结果说明:在过程性公平偏好下,如果代理人付出的努力大于其能付出的最大努力水平的一半,那么代理人对委托人就是友善的;同样如果委托人给予代理人的固定收入大于他能给予的最大固定收入的一半,那么委托人对代理人也是友善的;同时,委托人给予的固定收入越多就越能激励代理人付出努力。最后,通过数值模拟对完全理性和过程性公平偏好下各个局中人的收入进行了对比,发现过程性公平偏好的植入使得各局中人的收入得到了帕累托改进。

关键词: 过程性公平偏好, 链式多重委托-代理, 产出分享, 激励机制

Abstract: The principal-agent theory focuses on designing incentive mechanisms to solve the problem of moral hazard under the condition of asymmetric information. However, there are some limitations in the current studies of principal-agent problem. On the one hand, although much effort has been made to apply principal-agent theory to specific relation structure, most of previous studies mainly focus on single principal-agent relations. On the consideration of some participants have double identity of principal and agent in reality, the multiple principal-agent relations is more truthful than classic principal-agent theory. On the other hand, the previous theories are developed under the assumption of relational economic man. With the developing of behavioral economics, a growing number of scholars believe that people's behavior is bounded rational rather than purely rational. The theory of process fairness preference considered that process fairness preference is an important factor affecting human behavior, which provides a theory basis for the view of bounded rational.Beware of two disadvantages of the traditional principal-agent theory, this paper make a rewarding approach to classic theory through constructing chain-like multi principal-agent relations with incorporates fairness preference. Which has extended the traditional principal-agent theory research.In the third part of this paper, taking the double principal-agent for example, the agent in the first stage of principal-agent model is the principal of the second stage principal-agent model, thus there is a modification on principal-agent structure. Through considering the double principal-agent that pure principal, intermediary and pure agent are entirely rational, it has found that, under the condition of entirely rational, the optimal level of effort of intermediary and pure agent is positively related to the optimal revenue sharing ratio. In each stage principal-agent model, when the principal gives the agent more incentive the agent will try harder to work, but the degree of risk aversion of the agent will make the incentive effect weak. Therefore managers of enterprises could take good use of the method of increasing revenue sharing ratio to fully arouse the work enthusiasm of the employees. However, the greater the degree of risk aversion of the agent, the result of through increasing revenue sharing ratio coefficient to motivate agent is less obvious, so the employees who have a smaller degree of risk aversion are good employees.In the fourth part, this paper constructs a chain-like double principal-agent model through inducing process fairness preference. After calculation, we've got more profitable conclusion that the agent is friendly to the principal if the agent's effort is greater than the half of his biggest effort level, and the principal is friendly to the agent if the fixed income which the principal gives the agent is greater than half of the maximum. At the same time, the more fixed income, the more effort agent will give. On the one hand, it has well explained the Rabin's thought of “give a plum in return for a peach” and “an eye for an eye”, on the other hand, it also shows us the reason that employees have better performance and professional ethic in some companies which have good welfare policy.In the fifth part, through numerical simulation, this paper has found that it has an equilibrium which make every participant has more revenue. In conclusion, optimal incentive contract under the entirely rational can be improved, and process fairness preference can increase the income of all the players.The analysis in this paper can also be applied to design an incentive mechanism for enterprises, financial institution, and government budget problem as well as profit distribution for up and down stream of supply chain. Therefor it would have significant practice in real economic.

Key words: process fairness preference, chain-like multiple principal-agent model, piece rate contract, incentive mechanism

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