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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.
Contents:
- Foundations of Regular Economies:
- What Is a Regular Economy?
- Regular Economies and Genericity
- Formalization of Regular Economies
- The Number of Equilibria in Regular Economies
- Stability of Equilibria in Regular Economies
- Transversality and Regular Economies:
- Space of Utility Functions
- Transversality and Regular Economies
- Transversality Theorems and Regular Economies
- The Number of Extended Equilibria in Regular Economies
- Developments of Regular Economies:
- Production Economy with Linear Activities
- Incomplete Markets I
- Incomplete Markets II
Readership: Upper level undergraduates, graduate students and researchers involved with the application of mathematics to economic analysis.
