Preface | p. xi |
What Is Sustainability? | p. 1 |
History of Sustainability | p. 5 |
Possible Formalizations | p. 7 |
Limitations of Earlier Approaches | p. 11 |
Discounted Utilitarianism | p. 12 |
Sustainability: A preliminary Definition | p. 13 |
Valuing Environmental Assets | p. 14 |
The Analytical Framework | p. 20 |
Summary | p. 21 |
Outline of the Book | p. 21 |
Conclusions | p. 24 |
Conservation | p. 24 |
Valuation | p. 25 |
National Income | p. 25 |
Sustainability within a Classical Framework | |
The Classical Formulation | p. 27 |
Declining Discount Rate | p. 30 |
Conclusion | p. 31 |
Hamiltonians and Adjoint Variables | p. 32 |
Valuing a Depletable Stock | p. 36 |
Corner Solutions | p. 37 |
Optimal Paths | p. 38 |
The Green Golden Rule | p. 43 |
The Rawlsian Optimum | p. 44 |
Nonseparable Utility Functions | p. 44 |
Summary | p. 45 |
Renewable Resources | p. 46 |
Stationary Solutions | p. 48 |
Dynamic Behavior | p. 50 |
The Green Golden Rule | p. 52 |
Ecological Stability | p. 53 |
The Rawlsian Solution | p. 55 |
Conclusions | p. 55 |
A Broader Perspective | |
Alternatives to Utilitarianism | p. 58 |
Formalizing Utilitarianism | p. 60 |
Empirical Evidence | p. 61 |
Logarithmic Discounting and the Weber-Fechner Law | p. 62 |
Zero Discount Rate | p. 63 |
Overtaking | p. 65 |
Limiting Payoffs | p. 68 |
Chichilnisky's Criterion | p. 69 |
Comparison with Overtaking | p. 73 |
Constancy of Discount Rates | p. 74 |
The Rawlsian Criterion | p. 76 |
Discounting Utility or Consumption? | p. 76 |
Final Comments | p. 79 |
Depletion Revisited | p. 81 |
Optimization with Chichilnisky's Criterion | p. 82 |
Conservation and the Chichilnisky Criterion | p. 89 |
Differences from Utilitarian Optima | p. 91 |
Overtaking | p. 92 |
Renewable Resources Revisited | p. 94 |
Constant Discount Rates | p. 94 |
Declining Discount Rates | p. 98 |
Examples | p. 103 |
Empirical Evidence on Declining Discount Rates | p. 103 |
Time Consistency | p. 104 |
Time Consistency and Chichilnisky's Criterion | p. 107 |
Asymptotic Time Consistency | p. 107 |
Is Consistency Desirable? | p. 109 |
Overtaking | p. 110 |
Equal Treatment over Finite Horizons | p. 111 |
Summary | p. 112 |
Investment in a Backstop | p. 115 |
The Model | p. 117 |
Utilitarian Investment | p. 118 |
Optimality After the Backstop | p. 118 |
Optimality When the Stock Is Exhausted | p. 119 |
Optimality Before the Stock is Exhausted | p. 119 |
Solving the Problem Recursively | p. 120 |
Investing for the Long Run: The Green Golden Rule | p. 122 |
The Rawlsian Solution | p. 123 |
Investing for Present and Future | p. 123 |
Overtaking | p. 125 |
Choosing When to Invest | p. 125 |
Conclusions | p. 126 |
Capital Accumulation | |
Exhaustibility and Accumulation | p. 128 |
The Utilitarian Optimum | p. 129 |
Stationary Solutions | p. 131 |
Dynamics of the Utilitarian Optimum | p. 132 |
The Green Golden Rule | p. 135 |
The Chichilnisky Criterion | p. 137 |
Conclusion | p. 140 |
Capital and Renewable Resources | p. 141 |
The Utilitarian Optimum | p. 142 |
Stationary Solutions | p. 142 |
Dynamics of the Utilitarian Solution | p. 145 |
The Green Golden Rule | p. 146 |
The Chichilnisky Criterion | p. 150 |
Conclusions | p. 152 |
Policy Issues | |
Measuring National Income | p. 155 |
Introduction | p. 155 |
Two Concepts of National Income | p. 156 |
A General Model | p. 158 |
Hicksian Income and the Hamiltonian | p. 159 |
Constant Discount Rates | p. 159 |
Time-Varying Discount Rates | p. 162 |
The Linearized Hamiltonian | p. 163 |
Consumption and Hicksian National Income | p. 167 |
Hicksian Income and the Discount Rate | p. 168 |
Hichsian Income and Resouces | p. 168 |
Exhaustible Resources | p. 168 |
Renewable Resources | p. 171 |
National Income and Capital Accumulation | p. 171 |
Nonutilitarian Objectives | p. 173 |
National Welfare | p. 175 |
A Mathematical Framework | p. 175 |
National Welfare and Resources | p. 180 |
National Welfare and Hicksian Income in the Hotelling Case | p. 180 |
Exhaustible Resources and National Welfare | p. 182 |
Renewable Resources and National Welfare | p. 183 |
National Welfare and Capital Accumulation | p. 184 |
Chichilnisky's Criterion | p. 185 |
Sustainable Revenues and National Income | p. 189 |
Summary | p. 193 |
Project Evaluation | p. 196 |
Exhaustible Resources | p. 197 |
Initial Shadow Prices | p. 198 |
Final Shadow Prices | p. 201 |
Renewable Resources | p. 202 |
Sustainable Net Benefits | p. 204 |
Investing in a Backstop Technology | p. 205 |
Conclusions | p. 206 |
Appendix | p. 208 |
Existence of a Solution for the Exhaustible Resource Case | p. 208 |
Existence of a Solution for the Renewable Resource Case | p. 210 |
References | p. 213 |
Index | p. 224 |
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