E-Book, Englisch, 164 Seiten, Web PDF
Reihe: Economic Theory, Econometrics, and Mathematical Economics
E-Book, Englisch, 164 Seiten, Web PDF
Reihe: Economic Theory, Econometrics, and Mathematical Economics
ISBN: 978-1-4832-9506-0
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark
Autoren/Hrsg.
Weitere Infos & Material
1;Front Cover;1
2;Game Theory for Economic Analysis;4
3;Copyright Page;5
4;Table of Contents;8
5;Dedication;6
6;Preface;10
7;Chapter 0.
Preliminary Discussion;12
7.1;0.1. Basic Notation;12
7.2;0.2. Pure Exchange Economy;14
8;Chapter 1. Introduction to Convex Analysis;18
8.1;1.1. Convex Set;19
8.2;1.2. Affine Subspace;21
8.3;1.3. Hyperplane;23
8.4;1.4. Algebraic Interior, Algebraic Relative Interior;24
8.5;1.5. Separation Principle;28
8.6;1.6. Extreme Points;32
8.7;Appendix;37
8.8;EXERCISES;38
9;Chapter 2. Introduction to Continuity of a Correspondence;42
9.1;2.1. Upper and Lower Semicontinuities;43
9.2;2.2. Closedness;45
9.3;2.3. Maximum Theorem;48
9.4;EXERCISES;49
10;Chapter 3. Introduction to Fixed-Point Theorems in Rn;54
10.1;3.1. Sperner's Lemma, K–K–M Theorem;54
10.2;3.2. Fixed-Point Theorems;58
10.3;3.3. Fixed-Point Theorem and Separation Principle: Coincidence Theorem;61
10.4;EXERCISES;64
11;Chapter 4. Noncooperative Behavior and Equilibrium;66
11.1;4.1. Nash Equilibrium of a Game in Normal Form;67
11.2;4.2. Optimality;69
11.3;4.3. Social Equilibrium of an Abstract Economy;71
11.4;4.4. Competitive Equilibrium of a Pure Exchange Economy;72
11.5;4.5. Fundamental Theorems of Welfare Economics;73
11.6;4.6. Game-Theoretical Interpretation of the Competitive Equilibrium;76
11.7;4.7. Notes;78
11.8;EXERCISES;85
12;Chapter 5. Cooperative Behavior and Stability;88
12.1;5.1. Linear Inequalities;89
12.2;5.2. Core of a Side-Payment Game;91
12.3;5.3. K–K–M–S Theorem;93
12.4;5.4. Core of a Non-Side-Payment Game;94
12.5;5.5. Core Allocation of a Pure Exchange Economy;97
12.6;5.6. A Limit Theorem of Cores;100
12.7;5.7. Social Coalitional Equilibrium of a Society;105
12.8;5.8. Optimality of the Nash Equilibrium: Strong Equilibrium;111
12.9;5.9. Notes;113
12.10;EXERCISES;124
13;Chapter 6. Cooperative Behavior and Fairness;128
13.1;6.1. Shapley Value of a Side-Payment Game;129
13.2;6.2. Convex Game;131
13.3;6.3. .-Transfer Value of a Non-Side-Payment Game;133
13.4;6.4. Value Allocation of a Pure Exchange Economy;137
13.5;6.5. A Limit Theorem of Value Allocations of Replica Economies;139
13.6;6.6. Notes;156
13.7;EXERCISES;159
14;References;162
15;Author Index;168
16;Subject Index;172
17;ECONOMIC THEORY, ECONOMETRICS, AND MATHEMATICAL ECONOMICS;176
