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Mathematics of Politics by E. Arthur Robinson and Daniel H. Ullman (2016, Hardcover)
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About this product
Product Identifiers
PublisherTaylor & Francis Group
ISBN-101498798861
ISBN-139781498798860
eBay Product ID (ePID)224465025
Product Key Features
Number of Pages478 Pages
Publication NameMathematics of Politics
LanguageEnglish
SubjectGeneral, Applied
Publication Year2016
TypeTextbook
Subject AreaMathematics
AuthorE. Arthur Robinson, Daniel H. Ullman
FormatHardcover
Dimensions
Item Height1.3 in
Item Weight60.1 Oz
Item Length9 in
Item Width6.4 in
Additional Product Features
Edition Number2
Intended AudienceCollege Audience
LCCN2016-029414
TitleLeadingThe
IllustratedYes
Edition DescriptionRevised edition,New Edition
Table Of ContentI VOTING Two Candidates Social Choice Functions Criteria for Social Choice Which Methods Are Good? Arrow's Theorem Variations on a Theme Notes on Part I II: APPORTIONMENT Hamilton's Method Divisor Methods Criteria and Impossibility The Method of Balinski and Young Deciding among Divisor Methods History of Apportionment in the United States Notes on Part II III CONFLICT Strategies and Outcomes Chance and Expectation Solving Zero-Sum Games Conflict and Cooperation Nash Equilibria The Prisoner's Dilemma Notes on Part III IV THE ELECTORAL COLLEGE Weighted Voting Whose Advantage? Notes on Part IV Solutions to Odd-Numbered Exercises and Problems
SynopsisThis book focuses on mathematical reasoning about politics. People commonly believe mathematics has nothing to say about politics. The high school experience suggests mathematics is the study of numbers, operations, formulas, and manipulations of symbols. Those who, from this experience, conclude mathematics has no relevance to politics will not find much in this book they regard as mathematics. A lot of wasted effort can be averted if mathematics is used to determine whether some decisions are actually impossible in the first place. Is it possible to create methods to vote, methods to apportion, and methods to make decisions in a satisfactory way? This is where mathematics meets politics., 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.
LC Classification NumberJA71.5
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