A Mathematical Look At Politics

Author : E. Arthur Robinson, Jr.
Publisher : CRC Press
ISBN 13 : 9781439819838
Total Pages : 0 pages
Book Rating : 4.31/5 ( download)

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Download or read book A Mathematical Look at Politics written by E. Arthur Robinson, Jr. and published by CRC Press. This book was released on 2010-12-09 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: What Ralph Nader's spoiler role in the 2000 presidential election tells us about the American political system. Why Montana went to court to switch the 1990 apportionment to Dean’s method. How the US tried to use game theory to win the Cold War, and why it didn’t work. When students realize that mathematical thinking can address these sorts of pressing concerns of the political world it naturally sparks their interest in the underlying mathematics. A Mathematical Look at Politics is designed as an alternative to the usual mathematics texts for students in quantitative reasoning courses. It applies the power of mathematical thinking to problems in politics and public policy. Concepts are precisely defined. Hypotheses are laid out. Propositions, lemmas, theorems, and corollaries are stated and proved. Counterexamples are offered to refute conjectures. Students are expected not only to make computations but also to state results, prove them, and draw conclusions about specific examples. Tying the liberal arts classroom to real-world mathematical applications, this text is more deeply engaging than a traditional general education book that surveys the mathematical landscape. It aims to instill a fondness for mathematics in a population not always convinced that mathematics is relevant to them.

Author : E. Arthur Robinson
Publisher : CRC Press
ISBN 13 : 1498798888
Total Pages : 478 pages
Book Rating : 4.84/5 ( download)

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Download or read book The Mathematics of Politics written by E. Arthur Robinson and published by CRC Press. This book was released on 2016-11-18 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : E. Arthur Robinson Jr.
Publisher : CRC Press
ISBN 13 : 1439891176
Total Pages : 472 pages
Book Rating : 4.79/5 ( download)

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Download or read book A Mathematical Look at Politics written by E. Arthur Robinson Jr. and published by CRC Press. This book was released on 2010-12-09 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: What Ralph Nader's spoiler role in the 2000 presidential election tells us about the American political system. Why Montana went to court to switch the 1990 apportionment to Dean's method. How the US tried to use game theory to win the Cold War, and why it didn't work. When students realize that mathematical thinking can address these sorts of pres

Author : Sherif El-Helaly
Publisher : Springer
ISBN 13 : 3030147681
Total Pages : 264 pages
Book Rating : 4.86/5 ( download)

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Download or read book The Mathematics of Voting and Apportionment written by Sherif El-Helaly and published by Springer. This book was released on 2019-05-21 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook contains a rigorous exposition of the mathematical foundations of two of the most important topics in politics and economics: voting and apportionment, at the level of upper undergraduate and beginning graduate students. It stands out among comparable books by providing, in one volume, an extensive and mathematically rigorous treatment of these two topics. The text’s three chapters cover social choice, yes-no voting, and apportionment, respectively, and can be covered in any order, allowing teachers ample flexibility. Each chapter begins with an elementary introduction and several examples to motivate the concepts and to gradually lead to more advanced material. Landmark theorems are presented with detailed and streamlined proofs; those requiring more complex proofs, such as Arrow’s theorems on dictatorship, Gibbard’s theorem on oligarchy, and Gärdenfors’ theorem on manipulation, are broken down into propositions and lemmas in order to make them easier to grasp. Simple and intuitive notations are emphasized over non-standard, overly complicated symbols. Additionally, each chapter ends with exercises that vary from computational to “prove or disprove” types. The Mathematics of Voting and Apportionment will be particularly well-suited for a course in the mathematics of voting and apportionment for upper-level undergraduate and beginning graduate students in economics, political science, or philosophy, or for an elective course for math majors. In addition, this book will be a suitable read for to any curious mathematician looking for an exposition to these unpublicized mathematical applications. No political science prerequisites are needed. Mathematical prerequisites (included in the book) are minimal: elementary concepts in combinatorics, graph theory, order relations, and the harmonic and geometric means. What is needed most is the level of maturity that enables the student to think logically, derive results from axioms and hypotheses, and intuitively grasp logical notions such as “contrapositive” and “counterexample.”

Author : Karl Wolfgang Deutsch
Publisher : San Francisco : Jossey-Bass
ISBN 13 :
Total Pages : 498 pages
Book Rating : 4.43/5 ( download)

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Download or read book Mathematical Approaches to Politics written by Karl Wolfgang Deutsch and published by San Francisco : Jossey-Bass. This book was released on 1973 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : P. E. Johnson
Publisher : Elsevier
ISBN 13 : 1483297748
Total Pages : 225 pages
Book Rating : 4.43/5 ( download)

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Download or read book Formal Theories of Politics written by P. E. Johnson and published by Elsevier. This book was released on 2014-06-28 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: Formal Theories of Politics demonstrates the role of formal mathematical models in political science, and aims to convey a sense of the questions and methods which govern the political science research agenda. While there is still much interest in empirical patterns of voting behaviour and public opinion data, there has been substantial growth in emphasis on mathematical theory as a technique for the derivation of testable hypotheses. Topics discussed include: optimal candidate strategies and equilibria in competitive elections; voting agendas and parliamentary procedure in the multidimensional events; revolution, repression and inequality as outputs of dynamics systems. The mathematical techniques are widely varied, including game theory, functional analysis, differential equations, expert systems, stochastic processes and statistical models.

Author :
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.72/5 ( download)

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Download or read book Mathematical Approaches to Politics written by and published by . This book was released on 1973 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Anatol Rapoport
Publisher : University of Michigan Press
ISBN 13 : 9780472087419
Total Pages : 420 pages
Book Rating : 4.1X/5 ( download)

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Download or read book Fights, Games, and Debates written by Anatol Rapoport and published by University of Michigan Press. This book was released on 1960 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: A scientifically grounded method by which we can understand human conflict in all its forms

Author : Jacob S. Hacker
Publisher : Simon and Schuster
ISBN 13 : 1416588701
Total Pages : 368 pages
Book Rating : 4.02/5 ( download)

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Download or read book Winner-Take-All Politics written by Jacob S. Hacker and published by Simon and Schuster. This book was released on 2010 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analyzes the growing divide between the incomes of the wealthy class and those of middle-income Americans, exonerating popular suspects to argue that the nation's political system promotes greed and under-representation.

Author : George Szpiro
Publisher : Princeton University Press
ISBN 13 : 0691209081
Total Pages : 240 pages
Book Rating : 4.81/5 ( download)

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Download or read book Numbers Rule written by George Szpiro and published by Princeton University Press. This book was released on 2020-11-03 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author takes the general reader on a tour of the mathematical puzzles and paradoxes inherent in voting systems, such as the Alabama Paradox, in which an increase in the number of seats in the Congress could actually lead to a reduced number of representatives for a state, and the Condorcet Paradox, which demonstrates that the winner of elections featuring more than two candidates does not necessarily reflect majority preferences. Szpiro takes a roughly chronological approach to the topic, traveling from ancient Greece to the present and, in addition to offering explanations of the various mathematical conundrums of elections and voting, also offers biographical details on the mathematicians and other thinkers who thought about them, including Plato, Pliny the Younger, Pierre Simon Laplace, Thomas Jefferson, John von Neumann, and Kenneth Arrow.