Chaotic Elections

What does the 2000 U.S. presidential election have in common with selecting a textbook for a calculus course in your department? Was Ralph Nader's influence on the election of George W. Bush greater than the now-famous chads? In Chaotic Elections!, Don Saari analyzes these questions, placing them in the larger context of voting systems in general. His analysis shows that the fundamental problems with the 2000 presidential election are not with the courts, recounts, or defective ballots, but are caused by the very way Americans vote for president. This expository 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 surprisingly 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 should be required reading 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.

What does the 2000 U.S. presidential election have in common with selecting a textbook for a calculus course in your department? Was Ralph Nader's influence on the election of George W. Bush greater than the now-famous chads? In Chaotic Elections!, Don Saari analyzes these questions, placing them in the larger context of voting systems in general. His analysis shows that the fundamental problems with the 2000 presidential election are not with the courts, recounts, or defective ballots, but are caused by the very way Americans vote for president. This expository 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 surprisingly 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 should be required reading 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.

Political Campaigning in the U.S.: Managing the Chaos provides students with the latest insights into modern election campaign practices. It is premised on the idea that all Americans should understand how campaigns operate—how they collect information about voters, how they attempt to change what voters think about the candidates, and how they encourage voters to act in certain ways. An electoral campaign is a chaotic, short-term operation that must adapt to a complicated political landscape as well as deep-seeded psychological forces outside of its control. The ads they air, the media they manage, the data they gather, the doors on which they knock, the phone calls they make, the posts they share – all of these efforts can make small but measurable differences. Jones introduces students to the strategies and tools that campaigns employ in their attempt to win elections. It also uses academic research to assess which efforts are most promising for managing the chaos that is a modern campaign operation.

This book is a positive analysis of voting 'paradoxes' and argues that negative 'impossibility' results are not justified.

The Mathematics of Voting and Elections: A Hands-On Approach, Second Edition, is an inquiry-based 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 real-world 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 non-mathematical audiences and requires virtually no mathematical prerequisites beyond basic arithmetic. At the same time, the questions included are designed to challenge both mathematical and non-mathematical audiences alike. More than giving the right answers, this book asks the right questions. The book is fun to read, with examples that are not just thought-provoking, but also entertaining. It is written in a style that is casual without being condescending. But the discovery-based approach of the book also forces readers to play an active role in their learning, which should lead to a sense of ownership of the main ideas in the book. And while the book provides answers to some of the important questions in the field of mathematical voting theory, it also leads readers to discover new questions and ways to approach them. In addition to making small improvements in all the chapters, this second edition contains several new chapters. Of particular interest might be Chapter 12 which covers a host of topics related to gerrymandering.

It is not uncommon to be frustrated by the outcome of an election or a decision in voting, law, economics, engineering, and other fields. Does this 'bad' result reflect poor data or poorly informed voters? Or does the disturbing conclusion reflect the choice of the decision/election procedure? Nobel Laureate Kenneth Arrow's famed theorem has been interpreted to mean 'no decision procedure is without flaws'. Similarly, Nobel Laureate Amartya Sen dashes hope for individual liberties by showing their incompatibility with societal needs. This highly accessible book offers a new, different interpretation and resolution of Arrow's and Sen's theorems. Using simple mathematics, it shows that these negative conclusions arise because, in each case, some of their assumptions negate other crucial assumptions. Once this is understood, not only do the conclusions become expected, but a wide class of other phenomena can also be anticipated.

This book documents the widespread use of blatant and excessive manipulation of elections and explains what drives this practice. Alberto Simpser shows that, in many instances, governments and parties manipulate elections not only to gain votes, but also to transmit or distort information. This manipulation conveys an image of strength, shaping others' behavior to the benefit of the manipulators, increasing the scope for the manipulators to pursue their goals while in government and mitigating future challenges to their hold on power.

Allegations of fraud have marred recent elections around the world, from Russia and Italy to Mexico and the United States. Such charges raise fundamental questions about the quality of democracy in each country. Yet election fraud and, more broadly, electoral manipulation remain remarkably understudied concepts. There is no consensus on what constitutes election fraud, let alone how to detect and deter it. E lection Fraud: Detecting and Deterring Electoral Manipulation brings together experts on election law, election administration, and U.S. and comparative politics to address these critical issues. The first part of the book, which opens with an essay by Craig Donsanto of the U.S. Department of Justice, examines the U.S. understanding of election fraud in comparative perspective. In the second part of the book, D. Roderick Kiewiet, Jonathan N. Katz, and other scholars of U.S. elections draw on a wide variety of sources, including survey data, incident reports, and state-collected fraud allegations, to measure the extent and nature of election fraud in the United States. Finally, the third part of the book analyzes techniques for detecting and potentially deterring fraud. These strategies include both statistical analysis, as Walter R. Mebane, Jr. and Peter Ordeshook explain, and the now widespread practice of election monitoring, which Alberto Simpser examines in an intriguing essay.