Overview

Full Product Details

Author:   A. Dixit
Publisher:   Harwood-Academic Publishers
Imprint:   Harwood-Academic Publishers
Volume:   Vol 55
Dimensions:   Width: 13.80cm , Height: 0.50cm , Length: 21.60cm
Weight:   0.170kg
ISBN:  

9783718653843

ISBN 10:   3718653842
Pages:   92
Publication Date:   11 May 1993
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

BROWNIAN MOTION; Random Walk Representation; lto's Lemma; Geometric Brownian Motion; Some Generalizations; DISCOUNTED PRESENT VALUES Present Values for Exponential and Polynomials Present Values for Powers of Geometric Brownian Motion; A Basic Differential Equation for Present Value Derivation by Discrete Approximation; The General Solution; Differential Equation for Geometric Brownian Motion; General Diffusion Processes; BARRIERS; The Basic Differential Equation; Geometric Brownian Motion; Stopping and Resetting; Reflection; Example: Price Ceiling; Example: Exchange Rate Target Zones; Transitional Boundary; Example: Temporary Suspension; OPTIMAL CONTROL AND REGULATION; Stopping; Example: Irreversible Investment; Convex Costs: Continuous Control; Lump-Sum Costs: Impulse Control; Example: Menu Costs; Linear Costs: Barrier Control; Some Geometry and Intuition; Example: Competitive Industry; GENERALIZATIONS; Mean-Reverting Processes; Finite Horizon; SOME CHARACTERIZATION OF OPTIMAL PATHS; Short Run: Time Until First Action; Long Run: Stationary Distribution and Average Action; Dynamics of Brownian Motion: Kolmogorov Equations.

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J. Lesourne, H. Sonnenschein

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