论文标题
部分可观测时空混沌系统的无模型预测
A Taxonomy of Non-dictatorial Unidimensional Domains
论文作者
论文摘要
如果偏好域允许设计一致的社会选择功能（此后，规则），则称为非界限域，这些域名是非执行和防止策略的。我们研究了一类称为一维域的偏好域，并确定唯一的秒性属性（由Aswal，Chatterji和Sen（2003）引入）表征了所有非划界域。主要的贡献是基于称为“不变性的两投规则”的简单属性，对这些域上所有非划分，一维域和防护策略规则的详尽分类。构成分类的偏好域是半单调的峰域（由Chatterji，Sanver和Sen（2013））和半杂交域（此处介绍）（此处介绍），它们是单峰域的两个适当弱化，并被证明允许策略策略规则依赖选民偏好的非言论信息；这些领域的规范规则分别是投影规则和混合规则。作为分类的完善，单峰域和混合域是唯一一项一维域，该领域强迫策略规则由选民的偏好峰完全决定。
A preference domain is called a non-dictatorial domain if it allows the design of unanimous social choice functions (henceforth, rules) that are non-dictatorial and strategy-proof. We study a class of preference domains called unidimensional domains and establish that the unique seconds property (introduced by Aswal, Chatterji, and Sen (2003)) characterizes all non-dictatorial domains. The principal contribution is the subsequent exhaustive classification of all non-dictatorial, unidimensional domains and canonical strategy-proof rules on these domains, based on a simple property of two-voter rules called invariance. The preference domains that constitute the classification are semi-single-peaked domains (introduced by Chatterji, Sanver, and Sen (2013)) and semi-hybrid domains (introduced here) which are two appropriate weakenings of single-peaked domains and are shown to allow strategy-proof rules to depend on non-peak information of voters' preferences; the canonical rules for these domains are the projection rule and the hybrid rule respectively. As a refinement of the classification, single-peaked domains and hybrid domains emerge as the only unidimensional domains that force strategy-proof rules to be determined completely by voters' preference peaks.
