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Acknowledgements |
7 |
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Contents |
8 |
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Part I Population in models of economic growth |
12 |
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Introduction |
13 |
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1.1 Motivation and main question of this research |
13 |
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1.2 Organization of the research |
15 |
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1.3 The ageing population: Trends in Germany, United Kingdom and the USA |
16 |
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The size and the growth rate of population and economic growth |
22 |
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2.1 General literature on ageing population, declining population size and declining population growth rate |
22 |
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2.2 Population in economic growth theory with exogenous technological progress |
25 |
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2.3 Population in economic growth theory with endogenous technological progress |
28 |
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Effects of a declining population in a model of economic growth |
40 |
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3.1 Introduction to a model of economic growth - The Solow (1956) model without technological progress |
41 |
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3.2 The Solow (1956) model with technological progress |
57 |
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3.3 A model of economic growth with human capital - Mankiw, Romer and Weil (1992) |
66 |
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3.4 A model of economic growth with human capital and age structure - Lindh and Malmberg ( 1999) |
71 |
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Effects of a declining population in a model of economic growth with endogenous human capital - Lucas ( 1988) |
76 |
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4.1 The problem of dynamic optimization and its solution |
76 |
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4.2 A model of economic growth with human capital - Lucas (1988) |
81 |
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4.3 A note on the Lucas model |
91 |
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Conclusions of Part I |
97 |
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Part II Models of economic growth with an ageing population |
101 |
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Models of " Silver Growth" |
102 |
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Models with exogenous population |
104 |
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7.1 Model 1: The Solow (1956) model with an ageing population |
104 |
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7.2 Model 2: The Lucas (1988) model with an ageing population |
115 |
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Models with quasi-endogenous population |
125 |
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8.1 Model 3: The Lucas model with the new time allocation and quasi-endogenous population growth |
127 |
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8.2 Model 4: A model of silver growth with the new time allocation, quasi-endogenous population growth and an ageing population |
140 |
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Models with endogenous population |
156 |
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9.1 Model 5: The Lucas model with the new time allocation and endogenous population growth |
156 |
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9.2 Model 6: A model of silver growth with the new time allocation, endogenous population growth and an ageing population |
168 |
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Conclusions |
182 |
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10.1 Conclusions for economic growth theory |
183 |
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10.2 Conclusions for economic policy |
190 |
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Appendix |
194 |
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11.1 Derivations |
194 |
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List of variables |
198 |
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References |
199 |
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