Equilibrium, Stability and Growth: A Multi-Sectoral Analysis

CONTENTS......Page 12
1. Introduction......Page 14
2. Laws of Comparative Statics under Weak Gross Substitutability: The Hicksian Laws and the LeChatelier–Samuelson Principle......Page 16
3. Properties of the Input-output System......Page 27
1. Introduction......Page 36
2. Semi-global Stability of Equilibrium......Page 38
3. Global Stability of Equilibrium......Page 44
4. An Alternative System......Page 46
5. Comparative Statics......Page 49
6. A Mathematical Note......Page 51
NOTE TO CHAPTER II. STABILITY OF A NON-TÂTONNEMKST PRICING......Page 56
1. Introduction......Page 67
2. The Determination of Production Coefficients......Page 69
3. The Balanced Growth of Outputs......Page 82
4. The Demand-Supply Balance of Labour......Page 89
NOTE TO CHAPTER III. WALRAS'S THEORY OF CAPITAL FORMATION......Page 96
1. Introduction......Page 106
2. The Time Path of Prices......Page 107
3. The Time Path of Outputs......Page 118
4. The Rate of Interest......Page 125
5. Technological Invention......Page 129
6. Mechanization of Technique......Page 135
1. The Original von Neumann Model......Page 144
2. A Model of an Expanding Capitalist Economy: Marx–von Neumann......Page 149
3. Existence and Efficiency of the Balanced Growth Path......Page 153
4. Alternative Model: Walras–von Neumann......Page 161
1. Introduction......Page 167
2. Proof of a Turnpike Theorem: The 'No-joint-production Case'......Page 169
3. Cyclic Exceptions......Page 184
4. A Generalization of the Radner–Nikaidô Theorem: Cyclical Growth around the Turnpike......Page 187
1. Introduction......Page 208
2. Non-linear Eigen-vector Problems......Page 209
3. Balanced Growth......Page 215
4. Stability......Page 217
5. Non-linear Resolvent Problem......Page 224
REFERENCES......Page 229
H......Page 238
P......Page 239
Z......Page 240