| 偏好、强序刻画和社会选择形式空间等价 |
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| 引用本文： | 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, 46(1): 7-11. DOI: 10.16357/j.cnki.issn1000-5862.2022.01.02 |
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| 作者姓名： | 肖莉娜 卢美华 |
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| 作者单位： | 江西科技学院理学教学部,江西 南昌 330022 |
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| 基金项目： | 国家社会科学基金(17BJL025)资助项目; |
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| 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.
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| 关 键 词： | 强序偏好 分影 形式空间等价 |
The Preference,Strong Order Characterization and Equivalence of Social Choice Form Space |
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| XIAO Lina,LU Meihua. The Preference,Strong Order Characterization and Equivalence of Social Choice Form Space[J]. Journal of Jiangxi Normal University (Natural Sciences Edition), 2022, 46(1): 7-11. DOI: 10.16357/j.cnki.issn1000-5862.2022.01.02 |
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| Authors: | XIAO Lina LU Meihua |
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| Affiliation: | Faculty of Science Teaching,Jiangxi University of Technology,Nanchang Jiangxi 330022,China |
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| 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. |
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| Keywords: | strong order preference back projection equivalence of formal space |
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