E. Arthur Robinson Jr., Daniel H. Ullman

A Mathematical Look at Politics (eBook, PDF)

• Format: PDF

Produktbeschreibung

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 mathematics of politics, showing how mathematical reasoning is connected to the pressing issues of contemporary politics and in the liberal arts. Focusing on voting, apportionment, conflict, and the Electoral College, each part of the text examines a type of decision problem and a way to solve it.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 477
• Erscheinungstermin: 9. Dezember 2010
• Englisch
• ISBN-13: 9781439891179
• Artikelnr.: 57150992

Autorenporträt

E. Arthur Robinson Jr., Daniel H. Ullman

Inhaltsangabe

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