公理分配决策理论研究

The axiomatic methods are used to solve the allocation decision problems. The homogeneous and heterogeneous cost sharing models and their axiomatic systems are set up, and the axiomatic characters of the typical homogeneous and heterogeneous cost sharing methods are proven. The strictness, the relationship and the compatibility of the axioms are discussed in detail, and some essential conclusions are obtained. Some special distribution models, including discrete model, integer model and multi-phases model, etc., are analyzed axiomatically. Based on the former axiomatic analysis, the basic framework of distribution models is set up, and the general expression of distribution rules is given. The non-additive methods which can meet all the expect axioms are put forward. The results of axiomatic analysis are employed in the distribution of joint venture's profit, and the computer simulation technology is also used to solving this problem.

本课题从公理角度研究分配决策问题，利用现代冲突分析及合作理论等方法对现有分配准则进行分析，依据分配公平性准则，提出并探讨有价值的新公理。在此基础上，利用数学规划方法构造公理化分配模型的基本框架，寻求满足预期公理性质的分配方法。本研究在国内尚刚起步，在国外也远不成熟，它具有重要的理论价值和广泛的应用前景。