| Description |
1 online resource (182 pages) |
| Contents |
Cover; Half Title; Dedication; Title; Copyright; Contents; List of Figures; List of Tables; Preface; Introduction and Outline of the Book; 1 The Model and the Existence of Non-Degenerate Balanced Solutions; 1.1 Introduction and Plan of the Chapter; 1.2 The Formal Structure of the Model; 1.2.1 The Environment and the Technology; 1.2.2 Preferences; 1.3 The Optimization Problems; 1.3.1 The Optimization Problem from the Planner's Viewpoint; 1.3.2 The Optimization Problem in the Market Economy; 1.3.3 The Properties Shared by Optimal and Equilibrium Paths |
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1.4 Sufficiency of the Admissible Candidates1.5 The Possibility for Non-Degenerate Balanced Dynamics; 1.5.1 Some Preliminary Properties of the Balanced Evolution of the Economy; 2 The General Properties of the Uzawa-Lucas Economy; 2.1 Introduction and Plan of the Chapter; 2.2 Some General Features of Balanced Growth; 2.2.1 Some BGP-Stationary Useful Variables: the Great Ratios; 2.2.2 The Adjoint Variables along the BGP; 2.3 The Transition along Optimal and Equilibrium Paths; 2.3.1 Some Principles for Mathematical Analysis; 2.3.2 A Dimensional-Reducing Transformation of the Variables |
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2.3.3 The Jacobian and the Characteristic Equation2.3.4 The Potential for non Saddle-Path Behavior in the Dynamics of the Model; 2.3.5 The Functions Linking the State of the Economy to its Control Part; 2.3.6 The Mechanisms Driving the Adjustment of the Economy; 2.3.7 Growth Cases; 2.4 The Possibility of a Further Dimensional Reduction; 2.5 Appendix; 3 The Centralized Economy; 3.1 Introduction and Plan of the Chapter; 3.2 Optimal BGP Evolution of the Variables; 3.2.1 The Relevant System of Differential Equations; 3.2.2 The Optimal Allocation of Time along the BGP |
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3.2.3 The BGP Growth Rate of the Centralized Economy3.2.4 The BGP Values of the Great Ratios; 3.2.5 The Adjoint Variables Along the BGP; 3.3 Transitional Dynamics. The Local Point of View; 3.3.1 A First Stationarizing Transformation of the Variables; 3.3.2 The Local Stability Properties; 3.3.3 Some Local Characteristics of the Transition; 3.4 Transitional Dynamics. The Global Point of View; 3.4.1 The Dynamics in R²; 3.4.2 The Logistic Path of the Average Goods Production; 3.4.3 The Global Behavior of the Average Consumption; 3.4.4 Time Paths in the Original Dimension |
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3.4.5 The Explicit Transition Simulated3.5 Global Welfare Analysis; 3.6 Appendix; 4 The Properties of the Competitive Equilibrium; 4.1 Introduction and Plan of the Chapter; 4.2 Equilibrium Dynamics Along the BGP; 4.2.1 The Relevant System of Differential Equations; 4.2.2 The Equilibrium Allocation of Time along the BGP; 4.2.3 The BGP Growth Rates of the Primitive Variables; 4.2.4 The Stationary Values of the Great Ratios; 4.2.5 The BGP Behavior of the Adjoint Variables; 4.3 Transitional Dynamics from the Local Point of View; 4.3.1 A Stationarizing Transformation of the Dynamic Laws |
| Notes |
4.3.2 The Local Stability Properties of the Fixed Point in R³ |
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Print version record |
| Form |
Electronic book
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| ISBN |
9781351144957 |
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1351144952 |
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