Ordinal cost sharing
成果类型：
Article
署名作者：
Sprumont, Y
署名单位：
Universite de Montreal; Universite de Montreal
刊物名称：
JOURNAL OF ECONOMIC THEORY
ISSN/ISSBN：
0022-0531
DOI：
10.1006/jeth.1998.2408
发表日期：
1998
页码：
126-162
关键词：
摘要：
We ask how the best known mechanisms for solving cost sharing problems with homogeneous cost functions-the value, proportional, and serial mechanisms-should be extended to arbitrary problems. We propose the Ordinality axiom, which requires that cost shares should be invariant under (essentially) all increasing transformations of the measuring scales. Following the value approach first, we present an axiomatization of the Shapley-Shubik rule based on Ordinality. Next, we define and axiomatize two extensions of the serial mechanism which, contrary to the Friedman-Moulin rule, are ordinal. Finally, we note that the Aumann-Shapley extension of the proportional mechanism is not ordinal. We propose and defend an alternative proportional extension which does satisfy Ordinality. (C) 1998 Academic Press.