A note on Thomson's characterizations of the uniform rule

成果类型:
Article
署名作者:
Dagan, N
刊物名称:
JOURNAL OF ECONOMIC THEORY
ISSN/ISSBN:
0022-0531
DOI:
10.1006/jeth.1996.0051
发表日期:
1996
页码:
255-261
关键词:
摘要:
Thomson (Consistent solutions to the problem of fair division when preferences are single-peaked, J. Econ. Theory 63 (1994), 219-245) proved that the uniform rule of the fair division problem, where preferences are single-peaked, is the unique rule which is bilaterally consistent, continuous, Pareto optimal, and envy-free, in a setting of an infinite number of potential agents. We show that the uniqueness of the uniform rule is achieved without assuming continuity, even in a setting of a finite number of potential agents. A similar result is obtained by replacing envy-freeness with individual rationality from equal division. (C) 1996 Academic Press, Inc.