The art of smooth pasting

書誌事項

The art of smooth pasting

Avinash Dixit

(Fundamentals of pure and applied economics, v. 55 . Stochastic methods in economic analysis section)

Harwood Academic Publishers, 1993

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注記

Includes bibliography (p. 69-70) and index

内容説明・目次

内容説明

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.

目次

  • 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

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