It is because mathematics is often misunderstood, it is commonly believed it has nothing to say about politics. The high school experience with mathematics, for so many the lasting impression of the subject, suggests that mathematics is the study of numbers, operations, formulas, and manipulations of symbols. Those believing this is the extent of mathematics might conclude mathematics has no relevance to politics. This book counters this impression. The second edition of this popular book focuses on mathematical reasoning about politics. In the search for ideal ways to make certain kinds of decisions, a lot of wasted effort can be averted if mathematics can determine that finding such an ideal is actually impossible in the first place. In the first three parts of this book, we address the following three political questions: (1) Is there a good way to choose winners of elections? (2) Is there a good way to apportion congressional seats? (3) Is there a good way to make decisions in situations of conflict and uncertainty? In the fourth and final part of this book, we examine the Electoral College system that is used in the United States to select a president. There we bring together ideas that are introduced in each of the three earlier parts of the book.

As a text for an undergraduate mathematics course for nonmajors, Mathematics and Politics requires no prerequisites in either area while the underlying philosophy involves minimizing algebraic computations and focusing instead on some conceptual aspects of mathematics in the context of important real-world questions in political science. Five major topics are covered including a model of escalation, game theoretic models of international conflict, yes-no voting systems, political power, and social choice. Each topic is discussed in an introductory chapter and revisited in more depth in a later chapter. This new edition has added co-author, Allison Pacelli, and two new chapters on "Fairness" and "More Fairness." The examples and the exercises have been updated and enhanced throughout. Reviews from first edition: This book is well written and has much math of interest. While it is pitched at a non-math audience there is material here that will be new and interesting to the readers... -Sigact News For mathematicians, Taylor's book shows how the social sciences make use of mathematical thinking, in the form of axiomatic systems, and offers a chance to teach this kind of thinking to our students. - The College Mathematics Journal The writing is crisp and the sense of excitement about learning mathematics is seductive. The political conflict examples are well thought out and clear. -Michael C. Munger

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.

Drawing on the rich resources of the ten-volume series of The Oxford Handbooks of Political Science, this one-volume distillation provides a comprehensive overview of all the main branches of contemporary political science: political theory; political institutions; political behavior; comparative politics; international relations; political economy; law and politics; public policy; contextual political analysis; and political methodology. Sixty-seven of the top politicalscientists worldwide survey recent developments in those fields and provide penetrating introductions to exciting new fields of study. Following in the footsteps of the New Handbook of Political Science edited by Robert Goodin and Hans-Dieter Klingemann a decade before, this Oxford Handbook will become anindispensable guide to the scope and methods of political science as a whole. It will serve as the reference book of record for political scientists and for those following their work for years to come.

Over its long lifetime, "political economy" has had many different meanings: the science of managing the resources of a nation so as to provide wealth to its inhabitants for Adam Smith; the study of how the ownership of the means of production influenced historical processes for Marx; the study of the inter-relationship between economics and politics for some twentieth-century commentators; and for others, a methodology emphasizing individual rationality (the economic or "public choice" approach) or institutional adaptation (the sociological version). This Handbook views political economy as a grand (if imperfect) synthesis of these various strands, treating political economy as the methodology of economics applied to the analysis of political behavior and institutions. This Handbook surveys the field of political economy, with 58 chapters ranging from micro to macro, national to international, institutional to behavioral, methodological to substantive. Chapters on social choice, constitutional theory, and public economics are set alongside ones on voters, parties and pressure groups, macroeconomics and politics, capitalism and democracy, and international political economy and international conflict.

"Economics will never be able to move beyond these vague predictions because it treats human behavior - individual and social - as the product of expectations and preferences - beliefs and desires - the variables that cannot be measured independently of the actual choices we want to predict. These factors, combined with the economist's commitment to the search for equilibrium solutions to theoretical problems, condemn economic theory to permanent predictive weakness. In the end, Rosenberg's analysis is not merely a critique. His aim is to redefine the scope and value of neoclassical theory, suggesting that its character and most important accomplishments need to be correctly understood to defend economics against the charge that it is a science of diminishing returns."--BOOK JACKET.