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Geometry of Voting Book

Geometry of Voting
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Geometry of Voting, 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 c, Geometry of Voting
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  • Geometry of Voting
  • Written by author Donald G. Saari
  • Published by Springer-Verlag New York, LLC, 4/18/2012
  • 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 c
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Contents: From an Election Fable to Election Procedures: An Electoral Fable.- The Moral of the Tale.- From Aristotle to "Fast Eddie".- What Kind of Geometry.- Geometry for Positional and Pairwise Voting: Ranking Regions.- Profiles and Election Mappings.- Positional Voting Methods.- What a Difference a Procedure Makes; Several Different Outcomes.- Why Can't an Organization Be More Like a Person?- Positional Versus Pairwise Voting.- From Symmetry to the Borda Count and Other Procedures: Symmetry.- From Aggregating Pairwise Votes to the Borda Count.- The Other Positional Voting Methods.- Multiple Voting Schemes.- Other Election Procedures.- Many Profiles; Many New Paradoxes: Weak Consistency: The Sum of the Parts.- From Involvement and Monotonicity to Manipulation.- Proportional Representation.- Arrow's Theorem.- Characterizations of Scoring, Positional and Borda.


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Geometry of Voting, 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 c, Geometry of Voting

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Geometry of Voting, 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 c, Geometry of Voting

Geometry of Voting

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Geometry of Voting, 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 c, Geometry of Voting

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