An extension of McGarvey’s theorem from the perspective of the plurality collective choice mechanism

Lee R. Gibson; Robert C. Powers

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An extension of McGarvey’s theorem from the perspective of the plurality collective choice mechanism

机译：从多元集体选择机制的角度对麦克加维定理的扩展

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In 1953, David McGarvey showed that if the number of voters is unrestricted, then the set of outputs obtained from majority rule is a very general class of binary relations. We will present an extension of McGarvey’s Theorem based on the plurality collective choice mechanism.

机译：1953年，戴维·麦加维（David McGarvey）证明，如果选民人数不受限制，那么从多数统治中获得的输出结果将是一类非常笼统的二元关系。我们将提出基于多重集体选择机制的麦克加维定理的扩展。

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《Social Choice and Welfare》 |2012年第1期|101-108|共8页
作者
Lee R. Gibson; Robert C. Powers;
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Department of Mathematics University of Louisville Louisville KY 40292 USA;

Department of Mathematics University of Louisville Louisville KY 40292 USA;

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2. Meaningful Collective Choice? Public Planning and Arrow's Theorem [J] . TORE SAGER Progress in Planning . 1998,第2期

机译：有意义的集体选择？公共规划与阿罗定理
3. Behavioral mechanisms of collective nest-site choice by the ant Temnothorax curvispinosus [J] . Pratt SC Insectes Sociaux: Bulletin de l'Union Internationale pour l'Etude des Insectes Sociaux . 2005,第4期

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4. Plurality, Borda Count, or Anti-plurality: Regress Convergence Phenomenon in the Procedural Choice [C] . Takahiro Suzuki, Masahide Horita International conference on group decision and negotiation . 2017

机译：复数，Borda计数或反复数：程序选择中的回归收敛现象
5. Topics in harmonic analysis and partial differential equations: Extension theorems and geometric maximum principles [D] . Alvarado, Ryan. 2011

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6. Extension Theorems for Solutions of Irreflexive Relations [O] . Moses Richardson 1953

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7. Gardelle, Laure. Semantic Plurality: English Collective Nouns and Other Ways of Denoting Pluralities of Entities. John Benjamins, 2019. 215 pages [O] . Yolanda Fernández Pena 2020

机译：Gardelle，Laure。语义多种：英语集体名词和表示多个实体的方法。 John Benjamins，2019. 215页

An extension of McGarvey’s theorem from the perspective of the plurality collective choice mechanism

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