A mathematical look at politics /

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 tha...

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Bibliographic Details
Main Authors:	Robinson, Jr., E. Arthur (Author), Ullman, Daniel H. (Author)
Corporate Author:	Taylor and Francis
Format:	Electronic eBook
Language:	English
Published:	Boca Raton, FL : CRC Press, an imprint of Taylor and Francis, 2010.
Edition:	First edition.
Subjects:	Mathematisches Modell. Political science > Mathematics. Val (statsvetenskap) > matematiska modeller. Wahlsystem. Wahlverfahren.
Online Access:	Full text (WIT users only)

Table of Contents:

part 1 Part I: Voting
chapter Introduction to Part I
chapter 1 Two Candidates
chapter 2 Social Choice Functions
chapter 3 Criteria for Social Choice
chapter 4 Which Methods Are Good?
chapter 5 Arrow’s Theorem
chapter 6 Variations on the Theme
chapter Notes on Part I
part 2 Part II: Apportionment
chapter Introduction to Part II
chapter 7 Hamilton’s Method
chapter 8 Divisor Methods
chapter 9 Criteria and Impossibility
chapter 10 The Method of Balinski and Young
chapter 11 Deciding among Divisor Methods
chapter 12 History of Apportionment in the United States
chapter Notes on Part II
part 3 Part III: Conflict
chapter Introduction to Part III
chapter 13 Strategies and Outcomes
chapter 14 Chance and Expectation
chapter 15 Solving Zero-Sum Games
chapter 16 Conflict and Cooperation
chapter 17 Nash Equilibria
chapter 18 The Prisoner’s Dilemma
chapter Notes on Part III
part 4 Part IV: The Electoral College
chapter Introduction to Part IV
chapter 19 Weighted Voting
chapter 20 Whose Advantage?
chapter Notes on Part IV
chapter Solutions to Odd-Numbered Exercises and Problems.

A mathematical look at politics /

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