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Titlebook: Geometry of Voting; Donald G. Saari Book 1994 Springer-Verlag Berlin · Heidelberg 1994 Apportionment Methods.Entscheidungstheorie.Gruppene

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书目名称Geometry of Voting
编辑Donald G. Saari
视频video
丛书名称Studies in Economic Theory
图书封面Titlebook: Geometry of Voting;  Donald G. Saari Book 1994 Springer-Verlag Berlin · Heidelberg 1994 Apportionment Methods.Entscheidungstheorie.Gruppene
描述Over two centuries of theory and practical experience have taught us that election and decision procedures do not behave as expected. Instead, we now know that when different tallying methods are applied to the same ballots, radically different outcomes can emerge, that most procedures can select the candidate, the voters view as being inferior, and that some commonly used methods have the disturbing anomaly that a winning candidate can lose after receiving added support. A geometric theory is developed to remove much of the mystery of three-candidate voting procedures. In this manner, the spectrum of election outcomes from all positional methods can be compared, new flaws with widely accepted concepts (such as the "Condorcet winner") are identified, and extensions to standard results (e.g. Black‘s single-peakedness) are obtained. Many of these results are based on the "profile coordinates" introduced here, which makes it possible to "see" the set of all possible voters‘ preferences leading to specified election outcomes. Thus, it now is possible to visually compare the likelihood of various conclusions. Also, geometry is applied to apportionment methods to uncover new explanations
出版日期Book 1994
关键词Apportionment Methods; Entscheidungstheorie; Gruppenentscheidung; Manipulation; Präferenzordnung; Voting;
版次1
doihttps://doi.org/10.1007/978-3-642-48644-9
isbn_softcover978-3-642-48646-3
isbn_ebook978-3-642-48644-9Series ISSN 1431-8849 Series E-ISSN 2196-9930
issn_series 1431-8849
copyrightSpringer-Verlag Berlin · Heidelberg 1994
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Many Profiles; Many New Paradoxes, cause problems? In fact, as I show, important theorems in social choice theory, such as the Arrow Impossibility Theorem, are based on the properties a procedure must exhibit with changes in profiles.
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978-3-642-48646-3Springer-Verlag Berlin · Heidelberg 1994
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BPR in Dienstleistungsunternehmen,wise votes can reverse the plurality outcome, but why? The Condorcet profile shows that pairwise votes can create a cycle, but why? Certain profiles, such as a division between voters of types-one and five, create problems with voting procedures, but why? Some . procedures seem better than others, b
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