| 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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