Sustainability and resources theoretical issues in dynamic economics

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1. Verfasser: Majumdar, Mukul 1944- (VerfasserIn)
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Veröffentlicht: New Jersey World Scientific [2020]
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Datensatz im Suchindex

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adam_text Contents Preface About the Author vii xi Chapter 1. Introduction 1.1 1.2 1.3 1.4 1.5 1.6 1 In Search of a Definition.............................................. Stockholm, Rio and Johannesburg ............................ Goals, Targets, Indicators: A Quantitative Approach...................................................................... The Future We Want: A Summing Up...................... Mathematical Models.................................................... Complements and Details........................................... 1.6.1 Overpopulation .............................................. 1.6.2 Supplementary readings.................................. Chapter 2. Evolution,Extinction and Sustainability 2.1 2.2 2.3 2.4 2.5 2.6 2.7 1 3 7 8 9 21 21 22 23 Introduction................................. 23 Dynamical Systems: Formalities.................................. 26 Population Models....................................................... 28 Constant Yield Harvesting and Extinction............... 41 Natural Balance: Lotka-Volterra Model ...................... 47 Complements and Details........................................... 50 2.6.1 Complexity (Example 2.3.4) ........................ 51 2.6.2 Lotka-Volterra model..................................... 52 Supplementary Exercises.............................................. 53 xiii Contents XIV Chapter 3. 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 4.3 4.4 4.5 4.6 5.3 Rolling Plans: Efficiency and Long-Run Optimality Introduction.................................................................... Infinite Programs.............................. 4.2.1 Intertemporal efficiency and profit maximization.................................................... 4.2.2 Finite horizon: Conservation of inheritance.................................................... Rolling Plans........................... 4.3.1 Monotone convergence of rolling plans .... Welfare Properties of Rolling Plans............................ Decentralization.............................................................. Complements and Details........................................... Chapter 5. 5.1 5.2 55 Introduction . . . ........................................................ 55 The Model...................................................................... 57 3.2.1 Feasible programs........................................... 58 3.2.2 Natural growth................................................. 59 Existence of Optimal Programs.................................. 60 Competitive Programs................................................. 65 Competitive and Optimal Programs ......................... 66 Optimal Stationary Programs..................................... 71 Qualitative Properties of Optimal Programs............ 73 Conservation of Inheritance........................................ 76 Complements and Details........................................... 76 Chapter 4. 4.1 4.2 Optimal Harvesting: Finite Horizon Infinite Horizon Models: Discounting and Sustainability 79 79 81 82 85 87 88 92 95 96 101 Introduction......................................................................101 The Model: A Knightian Regeneration Function . . . 102 5.2.1 Optimality, efficiency and competitive prices..............................................104 Harvesting: The Undiscounted Case ...............................109 5.3.1 Optimal stationary programs ........................... 110 Contents 5.4 5.5 5.3.2 Non-stationaxy programs..................................112 Discounting and Sustainability.................. 114 5.4.1 Existence and monotonicity..............................115 5.4.2 Mild discounting................................................ 116 5.4.3 Heavy discounting: Inevitability of extinction...................................................... 118 Complements and Details............................................. 120 5.5.1 Exercises............................................................ 126 Chapter 6. 6.1 6.2 6.3 6.4 7.3 8.4 8.5 8.6 Utilization of an Exhaustible Resource: A Partial Equilibrium Approach 157 Production with an Exhaustible Resource: Efficiency and Intergenerational Equity 173 Introduction..................................................................... 173 Model................................................................... 175 Some Preliminary Properties of Efficient and Equitable Programs................................................ 178 Existence of an Efficient EquitableProgram................ 183 Price Characterization of EfficientPrograms................ 187 Complements and Details............................................. 193 Chapter 9. 9.1 9.2 129 Introduction......................................... ......................... 157 A Model of Resource Extraction ........................... 159 7.2.1 Optimal programs............................................. 161 Complements and Details............................................. 171 Chapter 8. 8.1 8.2 8.3 Profit Maximization and Extinction Introduction..................................................................... 129 The Model......................................................................131 Characterization of Optimal Programs........................133 Complements and Details............................................. 146 Chapter 7. 7.1 7.2 XV A Cobb-Douglas Economy 197 Introduction..................................................................... 197 The Model.........................................................................198 Contents XVI 9.3 9.4 9.5 Sustaining Positive Consumption.................................200 Ramsey Optimality......................................................... 208 Complements and Details............................................. 211 9.5.1 Continuous-time model.................................... 212 9.5.2 Application of Holder’s inequality..................215 Chapter 10. Technological Transition: An Optimistic Approach 217 10.1 Introduction......................................................................217 10.2 A Model of Optimistic Transition.................................218 10.2.1 Analysis ............................................................ 219 10.2.2 Examples............................................................ 221 10.3 Complements and Details............................................. 225 Chapter 11. Evolution and Extinction under Uncertainty 11.1 11.2 11.3 11.4 11.5 227 Introduction......................................................................227 Random Dynamical Systems.......................................... 229 Invariant Distributions..................... 231 Examples.........................................................................235 Complements and Details.................................................244 Chapter 12. Sustainable Consumption and Uncertainty 245 12.1 Introduction......................................................................245 12.2 Living off a Wealth Fund................................................ 249 12.2.1 The deterministic case: A linear model . . . 249 12.2.2 A stochastic linear model.................................250 12.2.3 A nonlinear return function.............................. 256 12.3 Water Crisis and Sustainable Consumption...............261 12.3.1 Random walk ....................................................262 12.3.2 A Lindley-Spitzer process................................. 265 12.4 Complements and Details............................................. 269 Chapter 13. Mathematical Preliminaries 13.1 279 Metric Spaces.................................................. 279 13.1.1 Sequences............................................................281 Contents 13.2 13.3 13.4 13.5 xvii 13.1.2 Separability ...................................................... 282 13.1.3 Completeness.................................... 283 13.1.4 Compactness....................................... 284 13.1.5 Infinite products of metric spaces and the diagonalizationargument.................................. 285 13.1.6 Infinite series...................................................... 286 Functions........................................................................ 287 Convexity,Concavity........................................................289 Measurability ...................................................................294 Probability, Random Variables and Modes of Convergence............................................................... 296 Bibliography 299 Author Index 307 Subject Index 311
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language English
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spellingShingle Majumdar, Mukul 1944-
Sustainability and resources theoretical issues in dynamic economics
Ressourcenmanagement (DE-588)4431979-4 gnd
Nachhaltigkeit (DE-588)4326464-5 gnd
Mathematisches Modell (DE-588)4114528-8 gnd
Erneuerbare Ressourcen (DE-588)4152831-1 gnd
Wirtschaftstheorie (DE-588)4079351-5 gnd
subject_GND (DE-588)4431979-4
(DE-588)4326464-5
(DE-588)4114528-8
(DE-588)4152831-1
(DE-588)4079351-5
title Sustainability and resources theoretical issues in dynamic economics
title_auth Sustainability and resources theoretical issues in dynamic economics
title_exact_search Sustainability and resources theoretical issues in dynamic economics
title_full Sustainability and resources theoretical issues in dynamic economics Mukul Majumdar, Cornell University, USA
title_fullStr Sustainability and resources theoretical issues in dynamic economics Mukul Majumdar, Cornell University, USA
title_full_unstemmed Sustainability and resources theoretical issues in dynamic economics Mukul Majumdar, Cornell University, USA
title_short Sustainability and resources
title_sort sustainability and resources theoretical issues in dynamic economics
title_sub theoretical issues in dynamic economics
topic Ressourcenmanagement (DE-588)4431979-4 gnd
Nachhaltigkeit (DE-588)4326464-5 gnd
Mathematisches Modell (DE-588)4114528-8 gnd
Erneuerbare Ressourcen (DE-588)4152831-1 gnd
Wirtschaftstheorie (DE-588)4079351-5 gnd
topic_facet Ressourcenmanagement
Nachhaltigkeit
Mathematisches Modell
Erneuerbare Ressourcen
Wirtschaftstheorie
url http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032047321&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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