Abstract: To solve the two-sided matching problems with multi-style aspiration of agents under the multi-form preference information,a method considering psychological behavior of agents was proposed.The multi-style aspiration of agents was chosen as the reference point based on prospect theory for transforming the multi-form preference information given by two-sided agents into the gains or losses of relative reference point.By considering the agents' different risk attitudes,the prospect values of each agent were calculated.Furthermore,for maximizing prospect values of each agent,a multi-objective optimization model of two-sided matching was constructed and the two-sided matching result could be obtained with the solving the model.An example was given to prove the feasibility and validity of the proposed method.

Key words: two-sided matching, multi-form preference, multi-style aspiration, prospect theory

摘要： 针对多种形式偏好信息下带有多种类型主体期望的双边匹配问题,提出一种考虑主体心理行为的双边匹配方法。首先,依据前景理论,以多种类型主体期望为参照点,将双边主体给出的多种形式偏好信息转化为相对于参照点的收益或损失;然后,考虑双边主体的不同风险态度,计算每个主体的前景值,建立以最大化每方主体前景值为目标的匹配优化模型,求解模型获得双边匹配解。最后,通过算例验证了所提方法的可行性和有效性。

关键词: 双边匹配, 多种形式偏好, 多种类型期望, 前景理论