The mathematics of voting and elections : a handson approach
 Responsibility
 Jonathan K. Hodge, Richard E. Klima.
 Edition
 Second edition.
 Publication
 Providence, Rhode Island : American Mathematical Society, [2018]
 Physical description
 1 online resource (xiii, 238 pages) : illustrations, maps
 Series
 Mathematical world ; v. 30.
Online
More options
Description
Creators/Contributors
 Author/Creator
 Hodge, Jonathan K., 1980 author.
 Contributor
 Klima, Richard E., author.
Contents/Summary
 Bibliography
 Includes bibliographical references and index.
 Contents

 Chapter 1. What's So Good About Majority Rule? The Mayor of Stickeyville; Anonymity, Neutrality, and Monotonicity; Majority Rule and May's Theorem; Quota Systems; Back to May's Theorem
 Chapter 2. Le Pen, Nader, and Other Inconveniences. The Plurality Method; The Borda Count; Preference Orders; Back to Borda; May's Theorem Revisited
 Chapter 3. Back into the Ring. Condorcet Winners and Losers; Sequential Pairwise Voting; Instant Runoff; Putting It All Together
 Chapter 4. Trouble in Democracy. Independence of Irrelevant Alternatives; Arrow's Theorem; Pareto's Unanimity Condition; Concluding Remarks
 Chapter 5. Explaining the Impossible. Proving Arrow's Theorem; Potential Solutions
 Chapter 6. Gaming the System. Strategic Voting; The GibbardSatterthwaite Theorem; Proving the GibbardSatterthwaite Theorem
 Chapter 7. One Person, One Vote? Weighted Voting Systems; Dictators, Dummies, and Veto Power; Swap Robustness; Trade Robustness
 Chapter 8. Calculating Corruption; The Banzhaf Power Index; The ShapleyShubik Power Index; Banzhaf Power in Psykozia; A Splash of Combinatorics; ShapleyShubik Power in Psykozia
 Chapter 9. The Ultimate College Experience. The Electoral College; The WinnerTakeAll Rule; Some History; Power in the Electoral College; Swing Votes and Perverse Outcomes; Alternatives to the Electoral College
 Chapter 10. Trouble in Direct Democracy. Even More Trouble; The Separability Problem; Binary Preference Matrices; Testing for Separability; Some Potential Solutions
 Chapter 11. Proportional (Mis)representation. The U.S. House of Representatives; Hamilton's Apportionment Method; Jefferson's Apportionment Method; Webster's Apportionment Method; Three Apportionment Paradoxes; Hill's Apportionment Method; Another Impossibility Theorem
 Chapter 12. Choosing Your Voters. Gerrymandering; Rules for Redistricting; Geometry and Compactness; Partisan Symmetry; The Efficiency Gap.
 Summary
 "The Mathematics of Voting and Elections: A HandsOn Approach, Second Edition, is an inquirybased approach to the mathematics of politics and social choice. The aim of the book is to give readers who might not normally choose to engage with mathematics recreationally the chance to discover some interesting mathematical ideas from within a familiar context, and to see the applicability of mathematics to realworld situations. Through this process, readers should improve their critical thinking and problem solving skills, as well as broaden their views of what mathematics really is and how it can be used in unexpected ways. The book was written specifically for nonmathematical audiences and requires virtually no mathematical prerequisites beyond basic arithmetic. At the same time, the questions included are designed to challenge both mathematical and nonmathematical audiences alike. More than giving the right answers, this book asks the right questions." Publisher's description
Subjects
 Subjects
 Voting > Mathematical models.
 Elections > Mathematical models.
 Vote > Modèles mathématiques.
 Élections > Modèles mathématiques.
 POLITICAL SCIENCE > Political Process > Elections.
 POLITICAL SCIENCE > Political Process > General.
 Elections > Mathematical models
 Voting > Mathematical models
Bibliographic information
 Publication date
 2018
 Series
 Mathematical world ; volume 30
 ISBN
 147044982X
 9781470449827 (electronic bk.)
 9781470442873 (alkaline paper)
 1470442876