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Koch, Torben: On some Stochastic Control Problems arising in Environmental Economics and Commodity Markets. 2020
Inhalt
Introduction
Strategic Pollution Control
Introduction
Setting and Problem Formulation
Solving the Strategic Pollution Control Problem
Construction of a Candidate Solution
The Verification Theorem
A Numerical Example and Comparative Statics
Conclusions
Optimal Extraction Problem with Price Impact
Introduction
Setting and Problem Formulation
Preliminary Results and a Verification Theorem
Constructing the Optimal Solution
The Case of a Drifted Brownian Motion Fundamental Price
The Case of a Mean-Reverting Fundamental Price
Comparative Statics Analysis
Sensitivity Analysis in the Case of a Drifted Brownian Motion Fundamental Price
Sensitivity Analysis in the Case of an Ornstein-Uhlenbeck Fundamental Price
Conclusions
Properties of Ratios of Hermite and Parabolic Cylinder Functions
Introduction
Monotonicity of Ratios of Hermite Functions
Conclusions
Optimal Installation of Solar Panels with Price Impact
Introduction
Model and Problem Formulation
A Verification Theorem
Constructing an Optimal Solution to the Installation Problem
The Free Boundary: Existence and Characterization
The Optimal Strategy and the Value Function: Verification
A Related Optimal Stopping Problem
Numerical Implementation
Comparative Statics
Conclusions
Facts and Properties of the Ornstein-Uhlenbeck Process
Supplemental Material for Chapter 2
Proofs
An Auxiliary Result
Supplemental Material for Chapter 4
Proofs
An Auxiliary Result
Bibliography