基于双参照点的双边匹配决策方法

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.

Decision method for two-sided matching based on double reference points

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.