Mathematical Look At Politics

With record voter turnouts for the 2008 presidential election, interest in the U.S. electoral system and voting (especially among college students) has never been higher. This textbook is based on a popular mathematics and politics course that the authors have taught at George Washington University for the past six years. It explores the mathema

List of contents

Preface, for the Student. Preface, for the Instructor
Voting Two Candidates. Social Choice Functions. Criteria for Social Choice. Which Methods are Good? Arrow's Theorem. Variations on the Theme. Notes on Part I
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.

Conflict
Strategies and Outcomes. Chance and Expectation. Solving Zero-Sum Games. Conflict and Cooperation. Nash Equilibria. The Prisoner's Dilemma. Notes on Part III
The Electoral College Weighted Voting. Whose Advantage? Notes on Part IV. Solutions to Odd-Numbered Exercises and Problems. Bibliography. Index

About the author

E. Arthur Robinson Jr., Daniel H. Ullman

Summary

With record voter turnouts for the 2008 presidential election, interest in the U.S. electoral system and voting (especially among college students) has never been higher. This textbook is based on a popular mathematics and politics course that the authors have taught at George Washington University for the past six years. It explores the mathema

Product details

• Authors: Jr. Robinson, Jr. Ullman Robinson, E. Arthur Robinson Jr., Daniel H. Ullman, Ullman Daniel H.
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Paperback / Softback
• Released: 14.10.2024
• EAN: 9781032919461
• ISBN: 978-1-0-3291946-1
• No. of pages: 478
• Subjects: Humanities, art, music > Psychology > Theoretical psychology; Natural sciences, medicine, IT, technology > Mathematics; BUSINESS & ECONOMICS / Economics / General, MATHEMATICS / General, Mathematics, Organizational theory & behaviour, Social, group or collective psychology, Organizational theory and behaviour