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Resource Extraction and Market Structure

Author: Martin Schäfer
Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1986.
Series: Lecture Notes in Economics and Mathematical Systems, 263; Lecture notes in economics and mathematical systems, 263.
Edition/Format:   eBook : Document : EnglishView all editions and formats
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Martin Schäfer
ISBN: 9783642489228 3642489222 9783540160816 3540160817
OCLC Number: 858927810
Description: 1 online resource.
Contents: I Dynamic Models of Resource Extraction in Markets of Monopoly or Pure Competition with Full Information --
1. Hotelling's Model --
2. Optimal Extraction Rates and Exploration --
2.1 Pure Competition --
2.2 Monopoly --
3. Optimal Extraction Rates and Constant Elasticity of Demand --
4. Market Structure and Optimal Depletion Rates --
4.1 Pure Competition --
4.2 Monopoly --
5. Extraction of an Exhaustible Resource and Production of a Substitute --
5.1 Social Optimum --
5.2 Extraction of the Resource and Production of the Substitute by the same Monopoly --
5.3 Many Owners of the Resource and Production of the Substitute by Monopoly --
5.4 Many Owners of the Resource and Production of the Substitute by all --
6. Extraction of Durable Exhaustible Resources --
6.1 Discrete Time --
6.2 Continuous Time --
6.2.1 Pure Competition --
6.2.2 Monopoly --
7. Conclusions --
II Dynamic Models with Uncertainty and Monopolistic Markets or Pure Competition --
1. Optimal Extraction Rates and Uncertainty with Respect to R & D towards Future Technologies --
1.1 Exogenous Technical Progress --
1.1.1 Basic Model --
1.1.2 First Extension: Production --
1.1.3 Second Extension: Exhaustible Resources --
1.1.4 Third Extension: Uncertainty about the Future Technological Development --
1.2 Endogenous Technical Progress --
1.2.1 Basic Model --
1.2.2 Modification of the Basic Model --
1.2.3 Example with Exponentially Distributed Z --
2. Optimal Extraction Rates and Unknown Reserves --
2.1 Monopolistic Extraction Rates Depending on Time only --
2.2 Monopolistic Extraction Rates Depending on Time and Quantities already Extracted --
2.3 Optimal Extraction Rates and Pure Competition --
2.3.1 Basic Model --
2.3.2 Example with Two Suppliers --
2.4 Optimal Extraction Rates from Consumer's View --
2.4.1 Basic Model --
2.4.2 Example with Exponentially Distributed Z --
2.5 Pure Competition and Optimal Extraction --
3. Optimal Extraction Rates and Unknown Costs of the Development of a Substitute --
3.1 One-period Analysis and Monopoly --
3.2 One-period Analysis and Pure Competition --
3.3 Two-period Analysis --
3.3.1 Optimal Extraction and One Decision Maker --
3.3.1.1 Basic Model --
3.3.1.2 Example with Linear Demand --
3.3.2 Optimal Extraction and Pure Competition --
3.3.3 Extraction of the Resource and Production of the Substitute by Exactly One Monopoly --
4. Conclusions --
III Short Introduction to the Theory of Differential Games --
IV Dynamic Models of Resource Extraction and Duopolistic Markets --
1. An Introductory Duopoly Model with Production Strategies --
2. Duopoly with Price Strategies and Exploration --
2.1 Open-loop Controls --
2.2 Closed-loop Controls --
3. A Duopoly Model with Quantity Strategies --
3.1 Introduction of the Model --
3.2 Specialization of the Model: Linear-Quadratic Differential Game --
4. Cartelization and Optimal Extraction of Exhaustible Resources --
4.1 Pure Competition --
4.2 Monopolistic Behaviour of the Cartel --
4.3 Implications of Cartelization to the Profits of the Non-Cartel --
5. Oligopoly with Discrete Time Parameter --
6. Conclusions --
V Oligopolistic Extraction with Continuous Time --
1. Basic Model with Quantity Strategies --
1.1 Introduction of the Model --
1.2 Algorithm for the Determination of a Nash Equilibrium --
2. Specializations of the Basic Model --
2.1 Fixed Resource Stock --
2.2 Deterministic Expandable Resource Stocks --
3. Oligopoly and Price Strategies --
4. Conclusions.
Series Title: Lecture Notes in Economics and Mathematical Systems, 263; Lecture notes in economics and mathematical systems, 263.
Responsibility: by Martin Schäfer.

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