摘要
在建立成本分配问题数学模型的基础上,提出了异质成本分配模型的公理体系,将异质成本分配规则应满足的公理性质分为基本公理性质、一般公理性质和特殊公理性质三类;通过案例研究,深入分析了产出规模不变性、需求单调性、比例性和上限性等公理性质的强制性,并对EANS方法、Aumann Shapley值法、Friedman Moulin序列方法和Shapley Shubik方法等典型的异质成本分配方法对公理性质的满足情况进行了全面讨论,通过严格的数学证明,得出了有价值的结论.
Based on setting up the mathematic models of the cost sharing problems, the axiomatic system of the heterogeneous cost sharing model is put forward. The axiomatic characters of heterogeneous cost sharing methods fall into three categories: the basic characters, the general characters and the special characters. The necessity of invariance of output scale, demand monotonicity, proportionality and upper bound is discussed by studying some cases. The characters of four typical heterogeneous cost sharing methods-the EANS method, the Aumann-Shapley pricing, the Friedman-Moulin serial cost pricing and the Shapley-Shubik method-are proven.
出处
《管理科学学报》
CSSCI
2003年第6期15-20,共6页
Journal of Management Sciences in China
基金
国家自然科学基金资助项目(79970040).
关键词
公理化研究
异质成本分配模型
公理体系
强制性分析
axiomatic analysis
heterogeneous cost sharing model
axiomatic system
necessity analysis
