Mathematics of Social Choice and Finance

Preface

1 Social Choice
1.1 Preference Ranking
1.2 The Plurality Methods
1.2.1 Runoff Method
1.2.2 Electoral College
1.2.3 The Single Transferable Vote
1.3 Point Distribution Systems
1.3.1 Some Other Systems
1.3.2 Nanson’s and Baldwin’s Methods
1.4 Head-to-Head Comparisons
1.5 The Approval Method
1.6 Arrow’s Impossibility Theorem
1.7 Two Ranking Methods
Chapter 1 Review
References and Further Reading

2 Apportionment Problems
2.1 Introduction
2.2 Hamilton’s Method
2.2.1 Lowndes’ Method
2.3 Jefferson’s Method
2.3.1 Adams’ Method
2.4 Webster’s Method
2.5 The Hill-Huntington Method
Chapter 2 Review
References and Further Reading

3 Everyday Finance
3.1 Review of Calculations
3.1.1 Taxes and Percentage
3.2 Simple Interest
3.2.1 Consumer Loans
3.3 Compound Interest
3.4 Systematic Savings/Annuities
3.5 Amortized Loans/Mortgages
3.5.1 Amortization Schedules
3.6 Personal Financial Decisions
Chapter 3 Review
References and Further Reading

Answers to Odd Problems
Index