The art of smooth pasting

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1. Verfasser: Dixit, Avinash K. 1944- (VerfasserIn)
Format: Buch
Sprache:Undetermined
Veröffentlicht: Chur Harwood 1994
Ausgabe:2. print.
Schriftenreihe:Fundamentals of pure and applied economics 55 : Stochastic methods in economic analysis section
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adam_text Contents Introduction to the Series vii Preface ix 1. Brownian Motion 1 1.1. Random Walk Representation 2 1.2. Ito s Lemma 4 1.3. Geometric Brownian Motion 6 1.4. Some Generalizations 8 2. Discounted Present Values 9 — 2.1. Present Values for Exponential and Polynomials 10 2.2. Present Values for Powers of Geometric Brownian Motion 13 2.3. A Basic Differential Equation for Present Value 14 2.4. Derivation by Discrete Approximation 15 2.5. The General Solution 16 ,s 2.6. Differential Equation for Geometric Brownian Motion 19 2.7. General Diffusion Processes 21 249 IP 3. Barriers 22 3.1. Basic Differential Equation 23 — 3.2. Geometric Brownian Motion 25 3.3. Stopping 25 3.4. Resetting 26 3.5. Reflection 26 3.6. Example: Price Ceiling 27 3.7. Example: Exchange Rate Target Zones 28 3.8. Transitional Boundary 30 3.9. Example: Temporary Suspension 31 4. Optimal Control and Regulation 32 4.1. Stopping 34 4.2. Example: Irreversible Investment 37 V vi CONTENTS 4.3. Convex Costs: Continuous Control 38 4.4. Lump Sum Costs: Impulse Control 39 4.5. Example: Menu Costs 41 4.6. Linear Costs: Barrier Control 42 4.7. Some Geometry and Intuition 43 4.8. Example: Competitive Industry 45 5. Generalizations 47 5.1. Mean Reverting Processes 47 5.2. Finite Horizon 49 6. Some Characterization of Optimal Paths 51 6.1. Short Run: Time Until First Action 52 6.2. Long Run: Stationary Distribution and Average Action 58 6.3. Dynamics of Brownian Paths: Kolmogorov Equations 63 References 69 Index 71
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series Fundamentals of pure and applied economics
series2 Fundamentals of pure and applied economics
spellingShingle Dixit, Avinash K. 1944-
The art of smooth pasting
Fundamentals of pure and applied economics
Brownian motion processes
Economics, mathematical
brownsk bevægelse
stokastiske processer
Brownsche Bewegung (DE-588)4128328-4 gnd
subject_GND (DE-588)4128328-4
title The art of smooth pasting
title_auth The art of smooth pasting
title_exact_search The art of smooth pasting
title_full The art of smooth pasting Avinash Dixit
title_fullStr The art of smooth pasting Avinash Dixit
title_full_unstemmed The art of smooth pasting Avinash Dixit
title_short The art of smooth pasting
title_sort the art of smooth pasting
topic Brownian motion processes
Economics, mathematical
brownsk bevægelse
stokastiske processer
Brownsche Bewegung (DE-588)4128328-4 gnd
topic_facet Brownian motion processes
Economics, mathematical
brownsk bevægelse
stokastiske processer
Brownsche Bewegung
url http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007796157&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link (DE-604)BV000797506
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