Title Page
Abstract
국문 초록
Preface
Contents
Chapter 1. Introduction 13
Chapter 2. Theoretical Framework 15
2.1. Main Model 15
2.1.1. Initial Endowments and Price Vector 17
Chapter 3. The Destroy Paradox 19
3.1. Agent 3 has the Leontief Utility Function 19
3.2. Agent 3 has the Continuous CES Utility Function 21
3.3. More Concrete Results in Leontief Preference 24
Chapter 4. The Transfer Paradox 27
4.1. Agent 3 has the Leontief Utility Function 28
4.2. Agent 3 has the Continuous CES Utility Function 30
4.3. More Concrete Results in Leontief Preference 32
Chapter 5. The Relation between The Two Paradoxes 34
Chapter 6. Conclusion 38
Reference 40
Appendices 42
Appendix A. The Destroy Paradox 42
A.1. Proof of Lemma 1 42
A.2. Proof of Lemma 2 43
A.3. Proof of Fact 1 44
Appendix B. The Transfer Paradox 46
B.1. Proof of Lemma 3 46
B.2. Proof of Lemma 4 47
B.3. Proof of Fact 2 48
Appendix C. The Relation between Two Paradoxes 49
C.1. Proof of Proposition 3 49
Table 5.1. Numerical example 37
Figure 3.1. The relation between the supply function and substitution elasticity 23
Figure 3.2. The relation between the price change and substitution elasticity 23
Figure 3.3. Numerical Example 26
Figure 4.1. Numerical Example 31
Figure 4.2. The Range of The Transfer Paradox and The Destroy Paradox 33
Figure 5.1. The Relation between The Two Paradoxes 35
Figure 5.2. The Difference of The Marginal Utility 36