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包容性属性价值函数与近CPT前景价值模型

         

摘要

为克服累积前景理论(CPT)不能同时解释Allias选择行为与强选择行为的内在缺陷并解决已有相关研究在价值函数上的学术分歧,在借鉴需要层次理论的基础上通过整合CPT与范围-频率理论,给出了一个能够包容(或近似包容)学术界迄今所提出的各种价值函数的新函数即包容性属性价值函数.然后,以CPT价值函数仅是包容性属性价值函数的近似为立足点,给出了包容性属性价值模型及内含性依赖该模型的近CPT包容性属性价值函数.之后,以该函数为基础给出了关于前景价值评价的近CPT前景价值模型.数值分析表明:近CPT前景价值模型既有能力同时解释Allias选择行为与强选择行为,又能够在输入信息可比的条件下给出与CPT前景价值模型保持高度一致的选择结论,从而直接证实了近CPT前景价值模型较之于原模型的相对合理性,间接证实了包容性属性价值函数较之于CPT价值函数的相对合理性.%To overcome the drawback of Cumulative Prospect Theory (CPT), i.e., the incapability of explai-ning both the Allias behavior and the strong choice behavior , and to solve current academic inconsistency on value functions , an inclusive value function ( IVF) is presented with reference to Need-Hierarchy Theory , es-pecially through integrating CPT with Range-Frequency Theory ( RFT) .The IVF is more general than any oth-er value function known in literature .With the CPT value function ( CPTVF) as an approximation to the IVF , an attribute value model is constructed and a value function ( called approximate CPTVF ) endogenously de-pendent on the model is given .Finally , based on the approximate CPTVF , an evaluation model for the pros-pect value, called the prospect value model approximate to CPT (shorted as PVM-CPT), is constructed.Data analysis shows that the PVM-CPT can not only explain both the Allias behavior and the strong choice behavior , but also , under comparable conditions of input information , draw evaluation conclusions highly consistent with those given by CPT .These analysis results have directly verified the rationality of the PVM-CPT with respect to the original model and indirectly verified that of the IVF with respect to the CPTVF .

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