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Titlebook: Basic Geometry of Voting; Donald G. Saari Book 1995 Springer-Verlag Berlin Heidelberg 1995 Apportionment Methods.Election.Electoral.Entsch

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发表于 2025-3-21 19:48:17 | 显示全部楼层 |阅读模式
期刊全称Basic Geometry of Voting
影响因子2023Donald G. Saari
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图书封面Titlebook: Basic Geometry of Voting;  Donald G. Saari Book 1995 Springer-Verlag Berlin Heidelberg 1995 Apportionment Methods.Election.Electoral.Entsch
影响因子A surprise is how the complexities of voting theory can be explained and resolved with the comfortable geometry of our three-dimensional world. This book is directed toward students and others wishing to learn about voting, experts will discover previously unpublished results. As an example, a new profile decomposition quickly resolves two centuries old controversies of Condorcet and Borda, demonstrates, that the rankings of pairwise and other methods differ because they rely on different information, casts series doubt on the reliability of a Condorcet winner as a standard for the field, makes the famous Arrow`s Theorem predictable, and simplifies the construction of examples. The geometry unifies seemingly disparate topics as manipulation, monotonicity, and even the apportionment issues of the US Supreme Court.
Pindex Book 1995
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发表于 2025-3-21 21:20:50 | 显示全部楼层
Positional Voting and the BC,ds manage to drop the central assumption of transitivity. This suggests using methods, such as the plurality vote and the BC, which admit only rational voters. Do they have problems? Rest assured; there are plenty of them! But, with a further decomposition of profiles, it becomes easy to analyze the problems and create profile examples.
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发表于 2025-3-22 16:42:22 | 显示全部楼层
Inés Romero-Brey,Volker LohmannIt is trivial to tally a plurality election; just count how many voters have each candidate top-ranked. Surprisingly, when this elementary description is used to analyze the procedure, it quickly introduces mathematical complications that severely limit what can be learned.
发表于 2025-3-22 18:10:12 | 显示全部楼层
Daisuke Yamane,Stanley M. LemonBy no means are the following references complete; they are places to start. In addition to these suggestions and their references, I recommend Kelly’s . [K3].
发表于 2025-3-22 21:47:22 | 显示全部楼层
From an Election Fable to Election Procedures,What could be easier than interpreting an election? You just count to determine which candidate receives the most votes. What can be difficult about something so elementary? After all, even nursery school children know how to vote to select their juice of choice before nap time.
发表于 2025-3-23 02:30:47 | 显示全部楼层
Geometry for Positional and Pairwise Voting,It is trivial to tally a plurality election; just count how many voters have each candidate top-ranked. Surprisingly, when this elementary description is used to analyze the procedure, it quickly introduces mathematical complications that severely limit what can be learned.
发表于 2025-3-23 07:51:51 | 显示全部楼层
Notes,By no means are the following references complete; they are places to start. In addition to these suggestions and their references, I recommend Kelly’s . [K3].
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