Welfare Economics and Social Choice Theory

von: Allan M. Feldman, Roberto Serrano

Springer-Verlag, 2006

ISBN: 9780387293684 , 404 Seiten

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Welfare Economics and Social Choice Theory


 

Contents

6

Preface

12

Introduction

14

1. The Concerns of Welfare Economics

14

2. The Concerns of Social Choice Theory

17

3. Practical Concerns of Welfare Economics and Social Choice Theory

20

Chapter 1 PREFERENCES AND UTILITY

24

1. Fundamental Assumptions

24

2. Best Alternatives and Utility Functions

26

3. The Formal Model of Preferences

27

4. Decisions under Uncertainty and Expected Utility

32

5. Introduction to Social Preferences

37

6. Exercises

41

7. Appendix

42

8. Selected References

43

Chapter 2 BARTER EXCHANGE

46

1. Introduction

46

2. Allocations

47

3. The Edgeworth Box Diagram

49

4. Pareto Optimal Allocations and the Core

50

5. Algebraic Examples

53

6. Final Notes on the Core: The Number of Coahtions

59

7. Exercises

59

8. Selected References

60

Chapter 3 WELFARE PROPERTIES OF MARKET EXCHANGE

64

1. Introduction

64

2. The Two-Person, Two-Goods Model

65

3. Competitive Equilibrium in an Exchange Economy: Formal Preliminaries

69

4. The First Fundamental Theorem of Welfare Economics

72

5. The Second Fundamental Theorem of Welfare Economics

76

6. An Algebraic Example

83

7. Exercises

86

8. Selected References

88

Chapter 4 WELFARE PROPERTIES OF ^'JUNGLE" EXCHANGE

92

1. Power as a Basis for Exchange

92

2. A Model of Indivisible Objects

93

3. A 4-Person 4-Houses Example

95

4. Finding a Market Equilibrium with Top Cycles

98

5. Fundamental Theorems of Welfare Economics and Jungle Economics

100

6. Exercises

104

7. Selected References

104

Chapter 5 ECONOMIES WITH PRODUCTION

106

1. Introduction

106

2. Optimal Production Plans

109

3. Competitive Equilibrium Production Plans

112

4. The First Fundamental Theorem of Welfare Economics, Production Version

115

5. The Second Fundamental Theorem of Welfare Economics, Production Version

117

6. Extending the Production Model, and Combining Production and Exchange

120

7. An Algebraic Example in a Simple Production Model

124

8. Exercises

126

9. Appendix

127

10. Selected References

128

Chapter 6 UNCERTAINTY IN EXCHANGE

132

1. Introduction

132

2. States of the World

133

3. Symmetric Uncertainty

134

4. Examples

141

5. Asymmetric Information

143

6. Exercises

152

7. Selected References

152

Chapter 7 EXTERNALITIES

156

1. Introduction

156

2. Externalities in an Exchange Economy: An Example

159

3. Pigouvian Taxes and Subsidies: The Exchange Example Continued

163

4. Pigouvian Taxes and Subsidies: A Production Example

166

5. Exercises

170

6. Selected References

171

Chapter 8 PUBLIC GOODS

174

1. Introduction

174

2. The Public Goods Model

175

3. The Samuelson Public Good Optimality Condition

177

4. Private Financing of the Public Good and the Free Rider Problem

180

5. The Wicksell-Lindahl Tax Scheme

182

6. Fixed Tax Shares and Majority Voting

187

7. The Demand-Revealing Tax Scheme

189

8. The Groves-Ledyard Tax Scheme

197

9. Exercises

201

10. Selected References

202

Chapter 9 COMPENSATION CRITERIA

208

1. Introduction

208

2. Notational Preliminaries

209

3. The Pareto Criterion

210

4. The Kaldor Criterion

212

5. The Scitovsky Criterion

214

6. The Samuelson Criterion

215

7. Compensation Criteria in Exchange Economies

217

8. Consumer's Surplus — Money Metrics

219

9. Consumers' Surplus - Boadway Paradox

221

10. Quasilinear Utility

223

11. Cost Benefit Analysis with One Good

226

12. Exercises

227

13. Selected References

228

Chapter 10 FAIRNESS AND THE RAWLS CRITERION

230

1. Introduction

230

2. Fairness

231

3. The Rawls Criterion

234

4. Exercises

238

5. Selected References

239

Chapter 11 LIFE AND DEATH CHOICES

242

1. Introduction

242

2. Economic Model — The Money Value of a Life

243

3. A Formal Version of the Economic Model

244

4. The Broome Paradox

247

5. Ex-Ante and Ex-Post

248

6. Problems with Utilitarian Measures of Life/Death Choices

251

7. The Pareto Principle and Extended Pareto Principles

256

8. What's Repugnant About the Repugnant Conclusion?

259

9. Conclusions About Life and Death Choices

260

10. Exercises

261

11. Selected References

261

Chapter 12 MAJORITY VOTING

266

1. Introduction

266

2. The Majority Voting Criterion

267

3. Majority Voting and Single-Peakedness

269

4. Majority Voting and Single-Peakedness: The Multidimensional Case

276

5. Multidimensional Voting — Are the Cycles That Bad?

281

6. Exercises

283

7. Selected References

284

Chapter 13 ARROW'S IMPOSSIBILITY THEOREM

288

1. Introduction

288

2. A Simple Model for Arrow's Impossibility Theorem

289

3. Requirements on the Arrow Social Welfare Function

290

4. Applying the Requirements

293

5. Arrow's Impossibility Theorem

295

6. Relaxing the Universality Requirement

300

7. Reactions to Arrow's Impossibility Theorem

301

8. Another Version of Arrow's Theorem

304

9. Exercises

307

10. Selected References

308

Chapter 14 DOMINANT-STRATEGY IMPLEMENTATION

312

1. Introduction

312

2. Examples of Strategic Manipulation

314

3. The Gibbard-Satterthwaite Impossibility Theorem

318

4. Significance of the Gibbard-Satterthwaite Theorem

325

5. Exercises

327

6. Appendix

329

7. Selected References

330

Chapter 15 NASH IMPLEMENTATION

334

1. Introduction

334

2. An Example

335

3. Maskin Monotonicity

337

4. Maskin's Theorem

339

5. Comments on Maskin's Theorem

345

6. Limitations of Maskin Monotonicity and Approximate Implementation

346

7. Exercises

350

8. Appendix

352

9. Selected References

354

Chapter 16 BAYESIAN IMPLEMENTATION

358

1. Introduction

358

2. Asymmetric Information in the Model of Types

359

3. Incentive Compatibility

363

4. From Truthful to Full Implementability

366

5. Bayesian Implement ability: Example 3 Continued

369

6. Bayesian Implementability: Theory

370

7. Exercises

372

8. Selected References

372

Chapter 17 EPILOGUE

376

Solutions to Exercises

384

Index

412