| Description |
1 online resource (xvii, 216 pages) : illustrations |
| Series |
Series on mathematical economics and game theory ; v. 1 |
|
Series on mathematical economics and game theory ; v. 1.
|
| Contents |
Pt. 1. Foundations of regular economies. 1. What is a regular economy? 1.1. Mathematical preliminaries. 1.2. Economical analysis. 2. Regular economies and genericity. 2.1. Mathematical preliminaries. 2.2. Economical analysis. 3. Formalization of regular economies. 3.1. Mathematical preliminaries. 3.2. Economical analysis. 4. The number of equilibria in regular economies. 4.1. Mathematical preliminaries. 4.2. Economical analysis. 5. Stability of equilibria in regular economies. 5.1. Mathematical preliminaries. 5.2. Economical analysis -- pt. 2. Transversality and regular economies. 6. Space of utility functions. 6.1. Mathematical preliminaries. 6.2. Economical analysis. 7. Transversality and regular economies. 7.1. Mathematical preliminaries. 7.2. Economical analysis. 8. Transversality theorems and regular economies. 8.1. Mathematical preliminaries. 8.2. Economical analysis. 9. The Number of extended equilibria in regular economies. 9.1. Mathematical preliminaries. 9.2. Economical analysis -- pt. 3. developments of regular economies. 10. Production economy with linear activities. 10.1. Mathematical preliminaries. 10.2. Economical analysis. 11. Incomplete markets I. 11.1. Mathematical preliminaries. 11.2. Economical analysis. 12. Incomplete markets II. 12.1. Welfare problem of incomplete markets: Pareto efficiency and inefficiency of equilibria. 12.2. Inefficiency of equilibria of incomplete markets without concavity. 12.3. Constrained optimality |
| Summary |
Annotation. This book presents a comprehensive treatment of the theory of regular economies, which is one of the most advanced topics in modern general equilibrium theory, emphasizing the basic ideas, the tools and the important applications. Although many notions and tools of differential topology are required to understand the theory, the author chooses a minimum of them and heuristically arranges them; that is, instead of lumping together all the necessary mathematics, the author puts at the beginning of each chapter the minimum mathematics required for the economic analysis of the chapter, so that the reader will not only save much effort on the mathematics but also directly understand how successfully the mathematics is used for the economic issues |
| Bibliography |
Includes bibliographical references (pages 205-211) and index |
| Notes |
Print version record |
| Subject |
Economics, Mathematical.
|
|
Economics -- Methodology.
|
|
BUSINESS & ECONOMICS -- Economics -- Theory.
|
|
Economics, Mathematical
|
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Economics -- Methodology
|
| Form |
Electronic book
|
| ISBN |
9789812794765 |
|
981279476X |
|
