基于累积前景理论的双边匹配决策方法

Decision method for two-sided matching based on cumulative prospect theory

针对考虑主体期望值的双边匹配问题,提出了一种基于累积前景理论的决策方法.给出了考虑主体期望值的双边匹配问题的描述;将主体给出的期望值视为参照点,构建了两个相对参照点的益损矩阵;依据累积前景理论和规范化公式,构建了两个规范化前景矩阵;在此基础上,构建了求解该双边匹配问题的多目标优化模型,使用线性加权法将多目标优化模型转化为单目标优化模型,通过求解该单目标优化模型获得匹配结果;最后,通过毕业生与实习岗位的双边匹配实例分析说明了所提方法的可行性和有效性.

This paper proposes a decision method based on cumulative prospect theory to solve the two-sided matching problem considering agents＇ expected values. In this paper, the description of two-sided matching problems considering agents＇ expected values is given. Secondly, the expected value given by each agent is chosen as the reference point, and then the two matrixes of gain and loss relative to the reference points are constructed. The two normalized prospect matrix are set up based on cumulative prospect theory and nor- malized formula. Furthermore, a multi-objective optimization model to solve the two-sided matching problem is developed. By using linear weighted method, the multi-objective optimization model is transformed into a single-objective optimization model. The matching result is obtained by solving the model. Finally, an illustrative example of two-sided matching between graduates and internship positions is given to illustrate the feasibility and validity of the proposed method.