Mathematical theory of economic dynamics and equilibria /
This book is devoted to the mathematical analysis of models of economic dynamics and equilibria. These models form an important part of mathemati cal economics. Models of economic dynamics describe the motion of an economy through time. The basic concept in the study of these models is that of a tr...
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| Format: | Book |
| Language: | English |
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New York, N.Y. :
Springer-Verlag,
1977
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| Online Access: | https://ar1lib.org/book/2127434/72d4c1 |
Table of Contents:
- 1 Theory of point-set maps.- 1.1 Introductory concepts.- 1.2 Superlinear functionals and convex sets.- 1.3 Elements of the topological theory of point-set maps.- 1.4 Superlinear maps and their duals.- 2 The Neumann-Gale model.- 2.1 Formulation of the Neumann-Gale model.- 2.2 Rates of growth in the Neumann-Gale model.- 2.3 Spectral theory of superlinear maps.- 3 Optimal trajectories and their characteristics.- 3.1 A general technological model of economic dynamics.- 3.2 Characteristics of optimal trajectories.- 3.3 Characteristics of optimal trajectories in some concrete models.- 3.4 Generalized technological models.- 3.5 Characteristics of trajectories of infinite-dimensional models.- 4 Asymptotes of optimal trajectories.- 4.1 The weak turnpike theorem.- 4.2 Strong turnpike theorem.- 4.3 The strongest turnpike theorem.- 4.4 Asymptotes of trajectories of general technological models.- 5 Models of economic equilibria.- 5.1 n-person games.- 5.2 A finite-horizon model of economic equilibria.- 5.3 Competitive equilibria and optimality.- 6 Models of economic dynamics with explicit consumption.- 6.1 Definition of the general model of economic dynamics-its relation to the technological model.- 6.2 The turnpike.- 6.3 Economic equilibria on infinite intervals and U-optimal trajectories.- Historical comments and comments about the literature.- References.