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xi | |
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xiii | |
Author biographies |
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xv | |
Introduction |
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1 | (5) |
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1 R. M. Solow's inspirations |
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6 | (10) |
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6 | (1) |
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7 | (2) |
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9 | (2) |
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1.4 Kaldor's economic growth model |
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11 | (1) |
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1.5 Principle of the original Solow economic growth model |
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12 | (2) |
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14 | (2) |
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16 | (25) |
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16 | (1) |
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2.2 The Solow model with a neoclassical production function |
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16 | (7) |
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23 | (14) |
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2.3.1 The Cobb-Douglas production function |
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24 | (7) |
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2.3.2 The CES production function |
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31 | (6) |
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2.4 Phelps'golden rules of capital accumulation |
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37 | (1) |
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38 | (3) |
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3 Generalizations of the Solow model (the Man kiw-Romer-Weil and Nonneman-Vanhoudt models) |
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41 | (45) |
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41 | (1) |
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3.2 The two-capital Mankiw-Romer-Weil model (a model of human capital accumulation) |
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41 | (18) |
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3.2.1 The model with a neoclassical production function |
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41 | (8) |
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3.2.2 A model with the Cobb-Douglas production function |
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49 | (2) |
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3.2.3 A model with the CES production function |
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51 | (5) |
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3.2.4 Golden rules of accumulation in the Mankiw-Romer-Weil model |
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56 | (3) |
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3.3 The multi-capital Nonneman-Vanhoudt model |
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59 | (24) |
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3.3.1 The model with a neoclassical production function |
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59 | (13) |
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3.3.2 A model with the Cobb-Douglas production function |
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72 | (2) |
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3.3.3 A model with the CES production function |
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74 | (6) |
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3.3.4 Golden rules of accumulation in the Nonneman-Vanhoudt model |
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80 | (3) |
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83 | (3) |
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4 Fiscal and monetary policy vs economic growth |
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86 | (23) |
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86 | (1) |
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4.2 Fiscal policy in a Mankiw-Romer-Weil model |
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87 | (12) |
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87 | (9) |
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4.2.2 A model with public capital |
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96 | (3) |
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4.3 Monetary rules in a Domar-Solow model |
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99 | (6) |
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105 | (4) |
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5 Economic growth at returns to scale conditions |
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109 | (17) |
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109 | (1) |
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5.2 Returns to scale in a single-capital (Solow) model |
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109 | (4) |
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5.3 Returns to scale in a two-capital (Mankiw-Romer-Weil) model |
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113 | (4) |
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5.4 Returns to scale in a multiple-capital (Nonneman-Vanhoudt) model |
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117 | (4) |
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5.5 Golden rules of capital accumulation at returns to scale conditions |
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121 | (4) |
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125 | (1) |
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6 Bipolar growth models with investment flows |
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126 | (41) |
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126 | (1) |
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6.2 A model with exogenous investment flows |
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127 | (9) |
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6.3 A model with investment flows conditional on capital productivity - |
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136 | (9) |
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6.4 Numerical simulations of economy growth trajectories |
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145 | (19) |
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6.4.1 Exogenous investment flows |
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145 | (11) |
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6.4.2 Investment flows depending on capital productivity |
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156 | (8) |
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164 | (3) |
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7 The gravity model of economic growth |
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167 | (16) |
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167 | (1) |
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7.2 Assumptions of the model |
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167 | (1) |
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7.3 A solution of the model |
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168 | (7) |
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7.4 Golden rules of capital accumulation |
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175 | (6) |
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7.4.1 Maximization of the geometric mean of long-run consumption per worker |
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176 | (3) |
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7.4.2 Maximization of long-run consumption per worker in each of the economies |
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179 | (2) |
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181 | (2) |
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8 Solow equilibrium at alternative trajectories of the number of workers |
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183 | (17) |
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183 | (1) |
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8.2 Assumptions about alternative trajectories of the number of workers |
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184 | (1) |
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185 | (8) |
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8.3.1 Growth paths at a logistic trajectory of the number of workers |
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186 | (4) |
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8.3.2 Growth paths at a growth rate that drops with rising labour productivity |
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190 | (3) |
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8.4 Numerical simulations |
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193 | (3) |
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196 | (4) |
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9 The Solow equilibrium at sine-wave investment rates |
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200 | (10) |
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200 | (1) |
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9.2 Assumptions of the model |
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200 | (1) |
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9.3 Equilibrium in the model |
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201 | (2) |
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9.4 Calibration of parameters and numerical simulations |
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203 | (5) |
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208 | (2) |
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210 | (25) |
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210 | (2) |
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10.2 An epidemiological-economic model |
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212 | (5) |
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10.2.1 The epidemiological module |
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213 | (2) |
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10.2.2 The economic module |
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215 | (2) |
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10.3 Calibrated model parameters |
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217 | (2) |
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10.3.1 Parameters of the epidemiological module |
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217 | (1) |
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10.3.2 Parameters of the economic module |
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218 | (1) |
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10.4 Scenarios and numerical simulation results |
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219 | (10) |
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229 | (6) |
References |
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235 | (8) |
Index |
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243 | |