
Book contents
- Frontmatter
- Contents
- List of figures
- List of tables
- Foreword by J. Barkley Rosser, Jr.
- Preface
- Notation
- 1 Competing approaches to Keynesian macrodynamics
- Part I Textbook Approaches
- Part II Analytical Framework: Theory and Evidence
- 4 The Keynes–Metzler–Goodwin model
- 5 Calibration of three wage-price modules
- 6 Calibration of the full KMG model
- 7 Subsystems and sensitivity analysis of the KMG model
- Part III Monetary Policy
- References
- Index
7 - Subsystems and sensitivity analysis of the KMG model
Published online by Cambridge University Press: 22 September 2009
- Frontmatter
- Contents
- List of figures
- List of tables
- Foreword by J. Barkley Rosser, Jr.
- Preface
- Notation
- 1 Competing approaches to Keynesian macrodynamics
- Part I Textbook Approaches
- Part II Analytical Framework: Theory and Evidence
- 4 The Keynes–Metzler–Goodwin model
- 5 Calibration of three wage-price modules
- 6 Calibration of the full KMG model
- 7 Subsystems and sensitivity analysis of the KMG model
- Part III Monetary Policy
- References
- Index
Summary
Introduction
The main result of chapter 4 was the mathematical proposition that the steady state of the six-dimensional KMG model is locally asymptotically stable if certain reaction parameters are sufficiently small. The statement may suggest that these coefficients are destabilizing, in the sense that higher values cause the system to lose its stability. It is almost hopeless, however, to extend the mathematical analysis such that it can verify or falsify this conjecture. Therefore, if we want to gain deeper insights into the stabilizing or destabilizing role of the parameters, we have to turn to a different approach. Generally, we may choose between the following two options: either the mathematical treatment is restricted to a suitable low-dimensional submodel of the full system, or the KMG model is maintained as it stands and a numerical investigation is conducted.
Sections 7.2 to 7.4 are mainly, though not exclusively, devoted to the first alternative. Three two- or three-dimensional subdynamics are considered in turn. In short, these are the inventory dynamics (section 7.2), the real wage dynamics (section 7.3) and the monetary dynamics (section 7.4). These models, or at least the feedback mechanisms portrayed by them, are rather well known in the literature on Keynesian macrodynamics. The submodels will thus make more precise how the whole KMG model is rooted in the Keynesian tradition.
- Type
- Chapter
- Information
- Foundations for a Disequilibrium Theory of the Business CycleQualitative Analysis and Quantitative Assessment, pp. 287 - 368Publisher: Cambridge University PressPrint publication year: 2005