[1]肖莉娜,卢美华*.偏好、强序刻画和社会选择形式空间等价[J].江西师范大学学报(自然科学版),2022,(01):7-11.[doi:10.16357/j.cnki.issn1000-5862.2022.01.02]
 XIAO Lina,LU Meihua*.The Preference,Strong Order Characterization and Equivalence of Social Choice Form Space[J].Journal of Jiangxi Normal University:Natural Science Edition,2022,(01):7-11.[doi:10.16357/j.cnki.issn1000-5862.2022.01.02]
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偏好、强序刻画和社会选择形式空间等价()
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《江西师范大学学报》(自然科学版)[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2022年01期
页码:
7-11
栏目:
数学与应用数学
出版日期:
2022-01-25

文章信息/Info

Title:
The Preference,Strong Order Characterization and Equivalence of Social Choice Form Space
文章编号:
1000-5862(2022)01-0007-05
作者:
肖莉娜卢美华*
江西科技学院理学教学部,江西 南昌 330022
Author(s):
XIAO LinaLU Meihua*
Faculty of Science Teaching,Jiangxi University of Technology,Nanchang Jiangxi 330022,China
关键词:
强序偏好 分影 形式空间等价
Keywords:
strong order preference back projection equivalence of formal space
分类号:
O 225
DOI:
10.16357/j.cnki.issn1000-5862.2022.01.02
文献标志码:
A
摘要:
为研究一般社会选择函数的构造机制,该文通过一般性偏好的运算形成偏好的强序刻画,并基于此证明在形式背景下社会选择函数全空间的一些等价性和自等价性.但是在强序刻画下,社会选择函数的存在性定理(Arrow定理)的构造相对简化,约束公理系统的配置也简化,这为全面形式化处理Arrow定理提供了有力工具.
Abstract:
In order to study the construction mechanism of general social choice function,through the calculation of general preference,a strong order description of preference is formed,and based on this,some equivalence and self-equivalence of the whole space of social choice function under the formal background are proved.However,under the characterization of strong order,the construction of the existence theorem(Arrow theorem)of the social choice function is relatively simplified,and the configuration of the constraint axiom system is also simplified,which provides a powerful tool for comprehensively formalizing the theorem.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期:2021-06-19
基金项目:国家社会科学基金(17BJL025)资助项目.
作者简介:肖莉娜(1983—),女,江西九江人,副教授,主要从事计算数学的研究.E-mail:46000863@qq.com
通信作者:卢美华(1978—),女,江西都昌人,副教授,主要从事决策理论、模糊数学等研究.E-mail:1173071945@qq.com
更新日期/Last Update: 2022-01-25