A characterization of the single-peaked domain

被引：52
|
作者：
Ballester, Miguel A.
Haeringer, Guillaume [1 ]
机构：
[1] Univ Autonoma Barcelona, Dept Econ & Hist Econ, Bellaterra, Barcelona, Spain
来源：
SOCIAL CHOICE AND WELFARE | 2011年 / 36卷 / 02期
关键词：
MAJORITY DECISION RULE; SUFFICIENT CONDITIONS; PREFERENCES; TREE; CHOICE; ORDERS;
D O I：
10.1007/s00355-010-0476-3
中图分类号：
F [经济];
学科分类号：
02 ;
摘要：
We provide in this paper two properties that are both necessary and sufficient to characterize the domain of single-peaked preference profiles. This characterization allows for a definition of single-peaked preference profiles without using an ad hoc underlying order of the alternatives and also sheds light on the structure of single-peaked profiles. Considering the larger domain of value-restricted preference profiles (Sen, Econometrica 34:491-499, 1966) we also provide necessary and sufficient conditions for a preference profile to be single-caved or group-separable. Our results show that for single-peaked, single-caved and group-separable profiles it is sufficient to restrict to profiles containing of either three individuals and three alternatives or two individuals and four alternatives.
引用
收藏
页码：305 / 322
页数：18
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