- 88 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
The Art of Smooth Pasting
About This Book
This book aims to widen the understanding of stochastic dynamic choice and equilibrium models. It offers a simplified and heuristic exposition of the theory of Brownian motion and its control or regulation, rendering such methods more accessible to economists who do not require a detailed, mathematical treatment of the subject.
The main mathematical ideas are presented in a context which with which economists will be familiar. Using a binomial approach to Brownian motion, the mathematics is reduced to simple algebra, progressing to some equally simple limits. The starting point of the calculus of Brownian motion - 'Ito's Lemma' - emerges by analogy with the economics of risk-aversion. Conditions for the optimal regulation of Brownian motion, including the important, but often mysterious, 'smooth pasting' condition, are derived in a similar way. Each theoretical derivation is illustrated by developing a significant economic application, drawn mainly from recent research in macroeconomics and international economics.
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Table of contents
- Cover
- Title
- Copyright
- Original Title
- Original Copyright
- Contents
- Introduction to the Series
- Preface
- 1. Brownian Motion
- 2. Discounted Present Values
- 3. Barriers
- 4. Optimal Control and Regulation
- 5. Generalizations
- 6. Some Characterization of Optimal Paths
- References
- Index