A Theory of Economic Growth: Dynamics and Policy in Overlapping GenerationsThis book provides an in-depth treatment of the overlapping generations model in economics incorporating production. |
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Page i
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Page viii
... Function 91 2.3.2 Properties of the Value Function 2.3.3 Existence and Monotonicity of Optimal Paths 2.3.4 Limit of the Optimal Path and Optimal Steady State 2.4 Marginal Analysis of Optimal Solutions 2.4.1 The Optimality Conditions 2.4 ...
... Function 91 2.3.2 Properties of the Value Function 2.3.3 Existence and Monotonicity of Optimal Paths 2.3.4 Limit of the Optimal Path and Optimal Steady State 2.4 Marginal Analysis of Optimal Solutions 2.4.1 The Optimality Conditions 2.4 ...
Page xi
... Function as a Limit Case A.2 Calculus 308 309 310 311 A.2.1 The Mean Value Theorem for Derivatives 311 A.2.2 The Implicit Function Theorem 311 A.2.3 Limits , lim sup , and lim inf 312 A.2.4 Limit Points of Multi - dimensional Sequences ...
... Function as a Limit Case A.2 Calculus 308 309 310 311 A.2.1 The Mean Value Theorem for Derivatives 311 A.2.2 The Implicit Function Theorem 311 A.2.3 Limits , lim sup , and lim inf 312 A.2.4 Limit Points of Multi - dimensional Sequences ...
Page xv
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Page 12
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Contents
VI | 1 |
VII | 2 |
VIII | 3 |
IX | 4 |
XI | 6 |
XII | 10 |
XIV | 11 |
XV | 12 |
XCII | 172 |
XCIII | 173 |
XCIV | 174 |
XCV | 175 |
XCVI | 178 |
XCVII | 179 |
XCVIII | 181 |
C | 182 |
XVI | 15 |
XVIII | 16 |
XIX | 19 |
XX | 20 |
XXI | 22 |
XXII | 27 |
XXIII | 29 |
XXIV | 34 |
XXV | 37 |
XXVI | 39 |
XXVII | 41 |
XXVIII | 42 |
XXIX | 43 |
XXX | 45 |
XXXII | 50 |
XXXIII | 51 |
XXXIV | 53 |
XXXV | 54 |
XXXVI | 56 |
XXXVII | 57 |
XXXVIII | 64 |
XXXIX | 66 |
XL | 70 |
XLI | 72 |
XLII | 73 |
XLIII | 74 |
XLIV | 77 |
XLV | 80 |
XLVI | 82 |
XLVIII | 86 |
XLIX | 90 |
L | 91 |
LI | 92 |
LII | 95 |
LIII | 99 |
LIV | 101 |
LV | 102 |
LVI | 106 |
LVIII | 108 |
LIX | 112 |
LXI | 114 |
LXII | 115 |
LXIII | 116 |
LXV | 117 |
LXVI | 118 |
LXVII | 120 |
LXVIII | 121 |
LXIX | 122 |
LXX | 124 |
LXXI | 127 |
LXXII | 129 |
LXXIII | 136 |
LXXIV | 138 |
LXXV | 139 |
LXXVI | 140 |
LXXVII | 141 |
LXXVIII | 143 |
LXXIX | 144 |
LXXX | 150 |
LXXXI | 152 |
LXXXII | 155 |
LXXXIV | 158 |
LXXXV | 159 |
LXXXVI | 161 |
LXXXVIII | 162 |
LXXXIX | 165 |
XC | 167 |
XCI | 171 |
CI | 183 |
CII | 184 |
CIII | 186 |
CIV | 190 |
CV | 192 |
CVI | 193 |
CVII | 195 |
CVIII | 198 |
CIX | 203 |
CX | 208 |
CXI | 211 |
CXII | 216 |
CXIV | 219 |
CXV | 223 |
CXVI | 226 |
CXVII | 230 |
CXIX | 233 |
CXX | 236 |
CXXI | 238 |
CXXII | 239 |
CXXIV | 246 |
CXXV | 248 |
CXXVI | 252 |
CXXVII | 256 |
CXXVIII | 257 |
CXXIX | 259 |
CXXX | 269 |
CXXXI | 274 |
CXXXII | 280 |
CXXXIII | 281 |
CXXXIV | 286 |
CXXXV | 289 |
CXXXVI | 290 |
CXXXVII | 291 |
CXXXVIII | 292 |
CXXXIX | 294 |
CXL | 295 |
CXLI | 297 |
CXLII | 300 |
CXLIII | 304 |
CXLIV | 305 |
CXLVI | 307 |
CXLVII | 308 |
CXLVIII | 309 |
CXLIX | 310 |
CL | 311 |
CLI | 312 |
CLII | 314 |
CLIV | 315 |
CLV | 316 |
CLVI | 320 |
CLVII | 322 |
CLVIII | 326 |
CLIX | 335 |
CLX | 338 |
CLXII | 340 |
CLXIII | 341 |
CLXIV | 343 |
CLXV | 344 |
CLXVI | 345 |
CLXVII | 347 |
CLXVIII | 349 |
CLXIX | 353 |
CLXX | 355 |
369 | |
373 | |
Common terms and phrases
a₁ agents allocation altruism analyze Arrow-Debreu assume assumption b₁ Bellman equation bequests budget constraint c₁ capital accumulation catching point characterized Cobb-Douglas constant consumption converges corner steady d₁+1 debt decreasing defined Definition di+1 distribution dynamics eigenvalues equation equilibrium with perfect example exists F(K₁ factor feasible trajectory Figure finite first-order given golden rule h₁ Hence holds human capital implies increasing infinite initial capital stock initial condition inter-temporal equilibrium k₁ K₁+1 labor life-cycle income limit logarithmic utility modified golden rule monotonic negative obtain optimal path over-accumulation overlapping generations model parameter pensions perfect foresight period planner positive steady problem production function proposition public spending R₁ R₁+1 S₁ saddle point savings sequence stable stock of capital temporary equilibrium transversality condition under-accumulation unique utility function value function variables verifies w₁ wage Welfare Theorem x₁ zero