Preface to the Second Edition |
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xvii | |
Acknowledgments |
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xix | |
I Dynamical Systems |
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1 | (164) |
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1 Deterministic Linear Systems |
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3 | (28) |
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3 | (3) |
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1.2 Scalar First-Order Linear Difference Equations |
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6 | (4) |
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10 | (1) |
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1.4 Scalar Second-Order Linear Difference Equations |
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11 | (2) |
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1.5 Planar Linear Systems |
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13 | (3) |
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1.5.1 Distinct Real Eigenvalues |
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14 | (1) |
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1.5.2 Repeated Real Eigenvalues |
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15 | (1) |
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1.5.3 Complex Eigenvalues |
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16 | (1) |
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16 | (2) |
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1.7 Higher-Dimensional Linear Systems |
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18 | (11) |
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1.7.1 Nonsingular Systems |
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20 | (6) |
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26 | (3) |
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29 | (2) |
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2 Deterministic Nonlinear Systems |
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31 | (34) |
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31 | (2) |
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33 | (5) |
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38 | (3) |
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41 | (14) |
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41 | (2) |
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43 | (6) |
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49 | (6) |
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2.5 Numerical Solutions Using Dynare |
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55 | (7) |
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62 | (3) |
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3 Stochastic Difference Equations |
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65 | (38) |
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3.1 First-Order Linear Systems |
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65 | (2) |
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3.2 Scalar Linear Rational Expectations Models |
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67 | (4) |
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67 | (3) |
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3.2.2 Method of Undetermined Coefficients |
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70 | (1) |
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3.3 Multivariate Linear Rational Expectations Models |
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71 | (10) |
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3.3.1 Blanchard-Kahn Method |
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71 | (2) |
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73 | (2) |
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75 | (6) |
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3.4 Nonlinear Rational Expectations Models |
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81 | (4) |
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3.5 Numerical Solutions Using Dynare |
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85 | (9) |
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3.6 Indeterminacy and Sunspot Equilibria |
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94 | (2) |
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3.7 Pruning Nonlinear Solutions |
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96 | (3) |
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99 | (4) |
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103 | (44) |
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104 | (24) |
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4.1.1 Classification of States |
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108 | (3) |
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4.1.2 Stationary Distribution: Finite State Space |
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111 | (7) |
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4.1.3 Countable-State Markov Chains |
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118 | (10) |
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4.2 General Markov Processes |
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128 | (4) |
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132 | (8) |
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132 | (5) |
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137 | (3) |
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4.4 Markov Chain Monte Carlo Algorithms |
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140 | (3) |
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143 | (4) |
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5 Ergodic Theory and Stationary Processes |
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147 | (18) |
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147 | (5) |
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5.2 Application to Stationary Processes |
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152 | (7) |
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5.3 Application to Stationary Markov Processes |
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159 | (5) |
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164 | (1) |
II Dynamic Optimization |
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165 | (248) |
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6 Markov Decision Process Model |
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167 | (16) |
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167 | (6) |
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173 | (8) |
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173 | (1) |
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174 | (3) |
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177 | (3) |
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180 | (1) |
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181 | (2) |
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7 Finite-Horizon Dynamic Programming |
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183 | (28) |
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183 | (4) |
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7.2 Measurability Problem |
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187 | (2) |
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7.3 Principle of Optimality |
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189 | (7) |
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196 | (6) |
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202 | (4) |
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206 | (3) |
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206 | (1) |
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7.6.2 A Consumption-Saving Problem |
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207 | (2) |
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209 | (2) |
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8 Infinite-Horizon Dynamic Programming |
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211 | (36) |
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8.1 Principle of Optimality |
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211 | (9) |
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220 | (2) |
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222 | (7) |
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8.3.1 Negative Dynamic Programming |
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222 | (3) |
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8.3.2 Weighted Contraction Approach |
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225 | (4) |
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229 | (4) |
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8.5 The Maximum Principle and Transversality Conditions |
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233 | (3) |
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8.6 Euler Equations and Transversality Conditions |
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236 | (7) |
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243 | (4) |
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247 | (54) |
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247 | (3) |
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250 | (2) |
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252 | (6) |
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9.4 Consumption and Saving |
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258 | (18) |
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9.4.1 Deterministic Income |
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261 | (7) |
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268 | (8) |
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9.5 Consumption/Portfolio Choice |
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276 | (2) |
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278 | (11) |
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9.6.1 Finite-Horizon Problem |
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280 | (4) |
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9.6.2 Infinite-Horizon Problem |
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284 | (5) |
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289 | (10) |
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9.7.1 Neoclassical Theory |
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289 | (2) |
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291 | (2) |
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9.7.3 Augmented Adjustment Costs |
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293 | (6) |
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299 | (2) |
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10 Linear-Quadratic Models |
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301 | (34) |
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10.1 Controlled Linear State-Space System |
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301 | (4) |
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10.2 Finite-Horizon Problems |
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305 | (3) |
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10.3 Infinite-Horizon Limits |
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308 | (6) |
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10.3.1 Value Function Iteration |
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312 | (1) |
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10.3.2 Policy Improvement Algorithm |
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312 | (1) |
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313 | (1) |
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10.4 Optimal Policy under Commitment |
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314 | (6) |
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10.5 Optimal Discretional Policy |
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320 | (4) |
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324 | (7) |
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10.6.1 Belief Distortions and Entropy |
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324 | (2) |
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10.6.2 Two Robust Control Problems |
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326 | (1) |
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10.6.3 Recursive Formulation |
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327 | (1) |
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10.6.4 Linear-Quadratic Model with Gaussian Disturbances |
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328 | (2) |
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10.6.5 Relative Entropy and Normal Distributions |
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330 | (1) |
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10.6.6 Modified Certainty Equivalence Principle |
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330 | (1) |
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331 | (4) |
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11 Control under Partial Information |
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335 | (26) |
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335 | (12) |
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335 | (9) |
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344 | (1) |
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11.1.3 Hidden Markov Chain |
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344 | (2) |
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11.1.4 Hidden Markov-Switching Model |
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346 | (1) |
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347 | (4) |
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11.3 Linear-Quadratic Control |
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351 | (2) |
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11.4 Rational Inattention |
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353 | (5) |
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11.4.1 Information Theory |
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353 | (2) |
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11.4.2 Linear-Quadratic-Gaussian Models |
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355 | (3) |
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358 | (3) |
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361 | (32) |
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12.1 Numerical Integration |
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361 | (3) |
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12.1.1 Gaussian Quadrature |
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361 | (2) |
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12.1.2 Multidimensional Quadrature |
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363 | (1) |
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12.2 Discretizing AR(1) Processes |
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364 | (3) |
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12.2.1 Tauchen (1986) Method |
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364 | (1) |
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12.2.2 Tauchen-Hussey (1991) Method |
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365 | (1) |
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12.2.3 Simulating a Markov Chain |
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366 | (1) |
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367 | (10) |
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12.3.1 Orthogonal Polynomials |
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369 | (3) |
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372 | (3) |
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12.3.3 Multidimensional Approximation |
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375 | (2) |
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12.4 Perturbation Methods |
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377 | (3) |
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380 | (5) |
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12.6 Numerical Dynamic Programming |
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385 | (6) |
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12.6.1 Discrete Approximation Methods |
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386 | (2) |
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12.6.2 Smooth Approximation Methods |
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388 | (3) |
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391 | (2) |
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393 | (20) |
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13.1 Generalized Method of Moments |
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393 | (8) |
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394 | (2) |
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13.1.2 Asymptotic Properties |
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396 | (2) |
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13.1.3 Weighting Matrix and Covariance Matrix Estimation |
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398 | (1) |
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13.1.4 Overidentifying Restrictions |
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399 | (1) |
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400 | (1) |
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13.1.6 Relation to Other Estimation Methods |
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401 | (1) |
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401 | (3) |
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401 | (1) |
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13.2.2 Asymptotic Properties |
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402 | (1) |
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13.2.3 Hypothesis Testing |
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403 | (1) |
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13.3 Simulation-Based Methods |
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404 | (7) |
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13.3.1 Simulated Method of Moments |
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405 | (2) |
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13.3.2 Simulated Maximum Likelihood |
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407 | (1) |
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13.3.3 Indirect Inference |
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408 | (3) |
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411 | (2) |
III Equilibrium Analysis |
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413 | (238) |
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14 Complete Markets Exchange Economies |
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415 | (34) |
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14.1 Uncertainty, Preferences, and Endowments |
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415 | (1) |
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416 | (1) |
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417 | (6) |
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14.3.1 Equilibrium Computation |
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419 | (1) |
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14.3.2 Two Welfare Theorems |
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420 | (2) |
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422 | (1) |
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423 | (8) |
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14.4.1 Investment Opportunities |
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423 | (1) |
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14.4.2 Ponzi Scheme and Portfolio Constraints |
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424 | (1) |
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14.4.3 Radner Equilibrium |
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425 | (1) |
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14.4.4 Arbitrage and State Prices |
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426 | (2) |
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428 | (1) |
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14.4.6 Equilibrium with Transversality Condition |
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429 | (2) |
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14.4.7 Natural Debt Limit |
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431 | (1) |
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14.5 Equivalence of Equilibria |
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431 | (3) |
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434 | (5) |
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14.7 Recursive Formulation |
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439 | (1) |
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440 | (5) |
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14.8.1 Capital Asset-Pricing Model |
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442 | (1) |
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14.8.2 Factor-Pricing Model |
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442 | (1) |
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14.8.3 Consumption-Based Capital Asset-Pricing Model |
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443 | (2) |
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445 | (4) |
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15 Neoclassical Growth Models |
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449 | (44) |
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15.1 Deterministic Models |
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449 | (12) |
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15.1.1 A Basic Ramsey Model |
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449 | (9) |
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15.1.2 Incorporating Fiscal Policy |
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458 | (3) |
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461 | (13) |
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463 | (1) |
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463 | (1) |
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15.2.3 Log-Linearized System |
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464 | (5) |
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15.2.4 Business Cycle Statistics and Model Results |
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469 | (2) |
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15.2.5 Impact of a Permanent TFP Shock |
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471 | (1) |
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15.2.6 Impact of a Temporary TFP Shock |
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472 | (1) |
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15.2.7 Effects of Persistence and Critiques of the RBC Model |
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473 | (1) |
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15.3 Extensions of the Basic RBC Model |
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474 | (17) |
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15.3.1 Various Utility Functions |
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474 | (5) |
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15.3.2 Capacity Utilization |
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479 | (1) |
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15.3.3 Capital or Investment Adjustment Costs |
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480 | (5) |
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485 | (2) |
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15.3.5 Other Sources of Shocks |
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487 | (4) |
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491 | (2) |
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16 Bayesian Estimation of DSGE Models Using Dynare |
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493 | (18) |
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16.1 Principles of Bayesian Estimation |
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494 | (1) |
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16.2 Bayesian Estimation of DSGE Models |
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495 | (8) |
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16.2.1 Numerical Solution and State-Space Representation |
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496 | (1) |
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16.2.2 Evaluating the Likelihood Function |
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497 | (2) |
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16.2.3 Computing the Posterior |
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499 | (2) |
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501 | (1) |
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502 | (1) |
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16.2.6 Model Diagnosis: Predictive Checks |
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502 | (1) |
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503 | (6) |
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503 | (4) |
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507 | (1) |
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508 | (1) |
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509 | (2) |
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17 Overlapping Generations Models |
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511 | (40) |
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511 | (13) |
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17.1.1 A Special Case and Multiple Equilibria |
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513 | (5) |
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17.1.2 Existence and Efficiency |
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518 | (6) |
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17.2 Production Economies |
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524 | (18) |
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17.2.1 Multiple Equilibria |
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526 | (3) |
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17.2.2 Dynamic Efficiency |
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529 | (11) |
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17.2.3 Altruism, Bequests, and Infinite Horizons |
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540 | (2) |
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542 | (4) |
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17.4 Sunspots and Self-Fulfilling Prophecies |
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546 | (2) |
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548 | (3) |
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18 Incomplete Markets Models |
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551 | (22) |
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18.1 Production Economies |
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551 | (8) |
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18.1.1 Income Fluctuation Problem |
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552 | (1) |
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553 | (1) |
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18.1.3 Stationary Recursive Equilibrium |
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554 | (1) |
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18.1.4 Computation and Implications |
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555 | (4) |
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559 | (7) |
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559 | (2) |
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561 | (1) |
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18.2.3 Interest on Currency |
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561 | (3) |
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564 | (2) |
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566 | (3) |
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18.3.1 Recursive Equilibrium |
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566 | (1) |
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18.3.2 Krusell-Smith Method |
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567 | (2) |
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18.4 Uninsured Idiosyncratic Investment Risk |
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569 | (1) |
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570 | (3) |
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19 Search and Matching Models of Unemployment |
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573 | (28) |
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574 | (10) |
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577 | (2) |
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19.1.2 Transitional Dynamics |
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579 | (2) |
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581 | (2) |
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583 | (1) |
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19.2 Cyclical Volatilities of Unemployment and Vacancies |
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584 | (3) |
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19.3 Endogenous Job Destruction |
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587 | (6) |
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590 | (3) |
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19.3.2 Transitional Dynamics |
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593 | (1) |
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19.4 Unemployment and Business Cycles |
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593 | (5) |
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593 | (2) |
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595 | (2) |
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19.4.3 Nash Bargained Wages |
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597 | (1) |
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598 | (1) |
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598 | (3) |
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20 Dynamic New Keynesian Models |
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601 | (50) |
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601 | (13) |
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602 | (1) |
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603 | (1) |
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20.1.3 Intermediate Goods Firms |
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604 | (2) |
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606 | (1) |
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20.1.5 Sticky-Price Equilibrium |
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607 | (1) |
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20.1.6 Flexible-Price Equilibrium |
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607 | (1) |
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20.1.7 Log-Linearized System |
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608 | (6) |
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20.2 Monetary Policy Design |
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614 | (10) |
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20.2.1 Efficient Allocation |
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614 | (2) |
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20.2.2 Quadratic Approximation to Utility |
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616 | (4) |
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20.2.3 Commitment versus Discretion |
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620 | (4) |
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624 | (16) |
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20.3.1 A Neoclassical Model |
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624 | (1) |
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20.3.2 Monopolistic Competition |
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625 | (2) |
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627 | (3) |
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20.3.4 Zero-Interest-Rate Lower Bound |
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630 | (5) |
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20.3.5 Duration of Fiscal Stimulus |
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635 | (1) |
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20.3.6 Government Purchases and Welfare |
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636 | (4) |
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20.4 A Medium-Scale DSGE Model |
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640 | (7) |
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641 | (3) |
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644 | (2) |
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20.4.3 Monetary and Fiscal Policies |
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646 | (1) |
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20.4.4 Aggregation and Equilibrium |
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646 | (1) |
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647 | (4) |
IV Further Topics |
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651 | (104) |
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653 | (52) |
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654 | (5) |
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21.1.1 Koopmans's Utility |
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654 | (2) |
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656 | (3) |
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659 | (16) |
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21.2.1 Epstein-Zin Preferences |
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659 | (6) |
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21.2.2 Ambiguity Aversion |
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665 | (8) |
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21.2.3 Temporal Resolution of Uncertainty |
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673 | (2) |
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21.3 Properties of Recursive Utility |
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675 | (5) |
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676 | (1) |
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676 | (1) |
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21.3.3 Utility Gradients and Pricing Kernels |
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677 | (3) |
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21.4 Portfolio Choice and Asset Pricing |
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680 | (18) |
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21.4.1 Optimality and Equilibrium |
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681 | (3) |
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21.4.2 Log-Linear Approximation |
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684 | (8) |
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692 | (6) |
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698 | (5) |
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21.5.1 Lucas-Stokey Approach |
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699 | (3) |
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21.5.2 Dumas-Uppal-Wang Approach |
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702 | (1) |
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703 | (2) |
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705 | (28) |
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706 | (10) |
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22.1.1 Perfect Monitoring |
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706 | (2) |
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22.1.2 Equilibrium Payoff Set |
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708 | (3) |
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711 | (1) |
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712 | (1) |
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22.1.5 Imperfect Public Monitoring |
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713 | (3) |
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22.2 Dynamic Stochastic Games |
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716 | (2) |
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22.3 Application: The Great Fish War |
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718 | (2) |
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22.4 Credible Government Policies |
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720 | (11) |
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22.4.1 One-Period Economy |
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721 | (2) |
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22.4.2 Infinitely Repeated Economy |
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723 | (2) |
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22.4.3 Equilibrium Value Set |
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725 | (2) |
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22.4.4 Best and Worst SPE Values |
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727 | (2) |
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22.4.5 Recursive Strategies |
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729 | (2) |
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731 | (2) |
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733 | (22) |
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734 | (5) |
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23.1.1 A Dynamic Programming Method |
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735 | (2) |
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23.1.2 A Lagrangian Method |
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737 | (1) |
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23.1.3 An Alternative Characterization |
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738 | (1) |
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739 | (6) |
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745 | (7) |
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746 | (5) |
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751 | (1) |
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752 | (3) |
Mathematical Appendixes |
|
755 | (32) |
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757 | (6) |
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B Real and Functional Analysis |
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763 | (8) |
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771 | (8) |
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D Measure and Probability Theory |
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|
779 | (8) |
References |
|
787 | (24) |
Matlab Index |
|
811 | (2) |
Name Index |
|
813 | |
Subject Index |
|
81 | |