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- catalog abstract ""This book shows how mathematics can help to identify and characterize a disturbingly large number of paradoxical situations that result from the choice of a voting procedure. Moreover, rather than being able to dismiss them as anomalies, the likelihood of a dubious election result is suprisingly large. These consequences indicate that election outcomes - whether for president, the site of the next Olympics, the chair of a university department, or a prize winner - can differ from what the voters really wanted. They show that by using an inadequate voting procedure, we can, inadvertently, choose badly. To add to the difficulties, it turns out that the mathematical structures of voting admit several strategic opportunities, which are described." "Finally, mathematics also helps identify positive results: By using mathematical symmetries, we can identify what the phrase "what the voters really want" might mean and obtain a unique voting method that satisfies these conditions." "Saari's book is for anyone who wants to understand not only what happened in the presidential election of 2000, but also how we can avoid similar problems from appearing anytime any group is making a choice using a voting procedure. Reading this book requires little more than high school mathematics and an interest in how the apparently simple situation of voting can lead to surprising paradoxes."--Jacket.".
- catalog contributor b12113367.
- catalog created "c2001.".
- catalog date "2001".
- catalog date "c2001.".
- catalog dateCopyrighted "c2001.".
- catalog description ""This book shows how mathematics can help to identify and characterize a disturbingly large number of paradoxical situations that result from the choice of a voting procedure. Moreover, rather than being able to dismiss them as anomalies, the likelihood of a dubious election result is suprisingly large. These consequences indicate that election outcomes - whether for president, the site of the next Olympics, the chair of a university department, or a prize winner - can differ from what the voters really wanted. They show that by using an inadequate voting procedure, we can, inadvertently, choose badly. To add to the difficulties, it turns out that the mathematical structures of voting admit several strategic opportunities, which are described." "Finally, mathematics also helps identify positive results: By using mathematical symmetries, we can identify what the phrase "what the voters really want" might mean and obtain a unique voting method that satisfies these conditions." "Saari's book is for anyone who wants to understand not only what happened in the presidential election of 2000, but also how we can avoid similar problems from appearing anytime any group is making a choice using a voting procedure. Reading this book requires little more than high school mathematics and an interest in how the apparently simple situation of voting can lead to surprising paradoxes."--Jacket.".
- catalog description "A Mess of an Election -- Electoral College -- Other procedures -- Voter Preferences, or the Procedure? -- Some examples -- Representation triangle and profiles -- Procedure lines and elections -- Approval or Cumulative voting? -- More candidates--toward Lincoln's election -- Chaotic Election Outcomes -- Deanna had to withdraw -- General results -- Consequences -- Chaotic notions for chaotic results -- How to Be Strategic -- Choice of a procedure -- Strategic voting -- Debate and selecting amendments -- Any relief? -- Changing the outcome -- What Do the Voters Want? -- Breaking ties and cycles -- Reversal effects -- A profile coordinate system -- Other Procedures; Other Assumptions -- Beyond voting; other aggregation methods -- Apportioning congressional seats on a torus -- Other procedures, and other assumptions.".
- catalog description "Includes bibliographical references (p. 153-156) and index.".
- catalog extent "xiii, 159 p. :".
- catalog identifier "0821828479 (alk. paper)".
- catalog issued "2001".
- catalog issued "c2001.".
- catalog language "eng".
- catalog publisher "Providence, R.I. : American Mathematical Society,".
- catalog subject "324.9 21".
- catalog subject "JF1001 .S227 2001".
- catalog subject "Voting.".
- catalog tableOfContents "A Mess of an Election -- Electoral College -- Other procedures -- Voter Preferences, or the Procedure? -- Some examples -- Representation triangle and profiles -- Procedure lines and elections -- Approval or Cumulative voting? -- More candidates--toward Lincoln's election -- Chaotic Election Outcomes -- Deanna had to withdraw -- General results -- Consequences -- Chaotic notions for chaotic results -- How to Be Strategic -- Choice of a procedure -- Strategic voting -- Debate and selecting amendments -- Any relief? -- Changing the outcome -- What Do the Voters Want? -- Breaking ties and cycles -- Reversal effects -- A profile coordinate system -- Other Procedures; Other Assumptions -- Beyond voting; other aggregation methods -- Apportioning congressional seats on a torus -- Other procedures, and other assumptions.".
- catalog title "Chaotic elections! : a mathematician looks at voting / Donald G. Saari.".
- catalog type "text".