引用本文:罗骁,李为民,王璇子.基于双参照点的双边匹配决策方法[J].控制与决策,2019,34(6):1286-1292
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基于双参照点的双边匹配决策方法
罗骁1, 李为民1, 王璇子2
(1. 空军工程大学研究生院,西安710051;2. 西安交通大学管理学院,西安710049)
摘要:
针对匹配主体有限理性的双边匹配问题,提出一种基于双参照点的决策方法.首先,依据前景理论和社会比较理论,利用主体给出的临界值设定个人参照点和社会参照点,计算序值相对于双参照点的获得和损失,进而得到主体的综合益损值;然后,考虑到主体面临获得和损失时不同的风险态度,依据前景理论将主体的综合益损值进一步转化成刻画主体满意程度的感知价值,并在此基础上,建立以最大化双边主体满意度为目标的优化模型,求解模型得到最优匹配方案;最后,通过算例说明该方法的应用.与已有的方法相比,所提出方法兼顾了个人维度和社会维度对主体心理行为的影响,能够更为全面和灵活地反映出主体的实际感知价值和有限理性特点.
关键词:  双边匹配  有限理性  心理行为  社会比较理论  前景理论  参照点
DOI:10.13195/j.kzyjc.2017.1629
分类号:F270
基金项目:国家自然科学基金项目(61273275).
Decision method for two-sided matching based on double reference points
LUO Xiao1,LI Wei-min1,WANG Xuan-zi2
(1. Graduate School,Air Force Engineering University,Xián 710051,China;2. School of Management,Xián Jiaotong University,Xián 710049,China)
Abstract:
To solve the two-sided matching problem with bounded rationality, we propose a decision-making method based on double reference points. Firstly, according to the theory of prospect and social comparison, we use the critical value given by each agent to set up personal reference point and social reference point, calculate the gain and loss of the ordinal value relative to the double reference points, and get the comprehensive benefit of each agent. Then, considering the different risk attitude of each agent to gain and loss based on the prospect theory, the comprehensive benefit of the agent is further transformed into the perceived value that depicts the satisfaction of the agent. On this basis, an optimization model aiming at maximizing the satisfaction of two-side agents is established, and the optimal matching solution can be obtained by solving this model. Finally, an example is given to illustrate the application of the method. Compared with the existing methods, the proposed method takes into account the influence of the individual dimension and the social dimension on the psychological behavior of the agent, and can reflect the actual perceived value and the bounded rationality characteristics of the agent more comprehensively and flexibly.
Key words:  two-side matching  bounded rationality  psychological behavior  social comparison theory  prospect theory  reference point

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