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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.
Behind the deeply contentious 2020 election stands a real story of a broken election process. Election fraud that alters election outcomes and dilutes legitimate votes occurs all too often, as is the bungling of election bureaucrats. Our election process is full of vulnerabilities that can be — and are — taken advantage of, raising questions about, and damaging public confidence in, the legitimacy of the outcome of elections. This book explores the reality of the fraud and bureaucratic errors and mistakes that should concern all Americans and offers recommendations and solutions to fix those problems.
During the middle of the nineteenth century, Americans voted in saloons in the most derelict sections of great cities, in hamlets swarming with Union soldiers, or in wooden cabins so isolated that even neighbors had difficulty finding them. Their votes have come down to us as election returns reporting tens of millions of officially sanctioned democratic acts. Neatly arrayed in columns by office, candidate, and party, these returns are routinely interpreted as reflections of the preferences of individual voters and thus seem to unambiguously document the existence of a robust democratic ethos. By carefully examining political activity in and around the polling place, this book suggests some important caveats which must attend this conclusion. These caveats, in turn, help to bridge the interpretive chasm now separating ethno-cultural descriptions of popular politics from political economic analyses of state and national policy-making.
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.
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.
Why our belief in government by the people is unrealistic—and what we can do about it Democracy for Realists assails the romantic folk-theory at the heart of contemporary thinking about democratic politics and government, and offers a provocative alternative view grounded in the actual human nature of democratic citizens. Christopher Achen and Larry Bartels deploy a wealth of social-scientific evidence, including ingenious original analyses of topics ranging from abortion politics and budget deficits to the Great Depression and shark attacks, to show that the familiar ideal of thoughtful citizens steering the ship of state from the voting booth is fundamentally misguided. They demonstrate that voters—even those who are well informed and politically engaged—mostly choose parties and candidates on the basis of social identities and partisan loyalties, not political issues. They also show that voters adjust their policy views and even their perceptions of basic matters of fact to match those loyalties. When parties are roughly evenly matched, elections often turn on irrelevant or misleading considerations such as economic spurts or downturns beyond the incumbents' control; the outcomes are essentially random. Thus, voters do not control the course of public policy, even indirectly. Achen and Bartels argue that democratic theory needs to be founded on identity groups and political parties, not on the preferences of individual voters. Now with new analysis of the 2016 elections, Democracy for Realists provides a powerful challenge to conventional thinking, pointing the way toward a fundamentally different understanding of the realities and potential of democratic government.
Prior to the 2020 presidential election, historians considered the disputed 1876 contest—which pitted Republican Rutherford B. Hayes against Democrat Samuel J. Tilden—the most controversial in American history. Examining the work and conclusions of the Potter Committee, the congressional body tasked with investigating the vote, Adam Fairclough’s Bulldozed and Betrayed: Louisiana and the Stolen Elections of 1876 sheds new light on the events surrounding the electoral crisis, especially those that occurred in Louisiana, a state singled out for voter intimidation and rampant fraud. The Potter Committee’s inquiry led to embarrassment for Democrats, uncovering an array of bribes, forgeries, and even coded telegrams showing that the Tilden campaign had attempted to buy the presidency. Testimony also exposed the treachery of Hayes, who, once installed in the White House, permitted insurrectionary Democrats to overthrow the Republican government in Louisiana that had risen to power during the early days of Reconstruction.
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.
Early results on election night suggested that Democrats had failed to make significant gains in the 2018 midterms. After all the votes were counted, a blue wave crashed on American electoral politics as Democrats won the House the Representatives and made significant gains at the state and local levels. In this book, Larry Sabato and Kyle Kondik bring together respected journalists and academics from across the political spectrum to examine every facet of the 2018 election, and what its outcome portends for our national politics and the coming 2020 presidential election. In frank, accessible prose, each author offers insight that goes beyond the headlines, and dives into the underlying forces and shifts that drove the election from its earliest developments to its eventual conclusion, long after the polls closed. Contributions by Alan I. Abramowitz, Matt Barreto, David Byler, Rhodes Cook, James Hohmann, Theodore Johnson, Kyle Kondik, Albert Morales, Diana Owen, Madelaine Pisani, Joshua T. Putnam, Larry Sabato, Gary Segura, Emily C. Singer, Sean Trende, Michael Toner, and Karen Trainer.
For All Practical Purposes is the most effective and engaging textbook available for showing mathematics at work in areas with a direct impact on our lives (consumer products and advertising, politics, the economy, the Internet). It was the first, and remains the best, textbook for liberal arts students and for instructors who want to bring students the excitement of contemporary mathematical thinking and help their students think logically and critically. The new edition offers a number of changes designed to make the text more accessible than ever to a wider range of students and instructors.