The Art of Smooth Pasting
Seiten
2001
Routledge (Verlag)
978-0-415-26937-7 (ISBN)
Routledge (Verlag)
978-0-415-26937-7 (ISBN)
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.
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.
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.
J. Lesourne, H. Sonnenschein
part The Art of Smooth Pasting, AVINASH DIXIT; Chapter 1 Brownian Motion; Chapter 2 Discounted Present Values; Chapter 3 Barriers; Chapter 4 Optimal Control and Regulation; Chapter 5 Generalizations; Chapter 6 Some Characterization of Optimal Paths;
| Erscheint lt. Verlag | 6.12.2001 |
|---|---|
| Verlagsort | London |
| Sprache | englisch |
| Maße | 138 x 216 mm |
| Gewicht | 320 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik |
| Wirtschaft ► Allgemeines / Lexika | |
| Wirtschaft ► Volkswirtschaftslehre ► Ökonometrie | |
| ISBN-10 | 0-415-26937-7 / 0415269377 |
| ISBN-13 | 978-0-415-26937-7 / 9780415269377 |
| Zustand | Neuware |
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