Economic dynamics in discrete time:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge, Mass. [u.a.]
MIT Press
2014
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | XXI, 710 S. graph. Darst. |
| ISBN: | 9780262027618 |
Staff View
MARC
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| 020 | |a 9780262027618 |c hardcover : alk. paper |9 978-0-262-02761-8 | ||
| 035 | |a (OCoLC)895286829 | ||
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| 100 | 1 | |a Miao, Jianjun |d 1969- |e Verfasser |0 (DE-588)133541398 |4 aut | |
| 245 | 1 | 0 | |a Economic dynamics in discrete time |c Jianjun Miao |
| 264 | 1 | |a Cambridge, Mass. [u.a.] |b MIT Press |c 2014 | |
| 300 | |a XXI, 710 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Includes bibliographical references and index | ||
| 650 | 0 | 7 | |a Diskrete Optimierung |0 (DE-588)4150179-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Dynamisches Modell |0 (DE-588)4150932-8 |2 gnd |9 rswk-swf |
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| 689 | 0 | 1 | |a Diskrete Optimierung |0 (DE-588)4150179-2 |D s |
| 689 | 0 | |5 DE-604 | |
| 856 | 4 | 2 | |m Digitalisierung UB Regensburg - ADAM Catalogue Enrichment |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027577497&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-027577497 | ||
Record in the Search Index
| _version_ | 1804152620390023168 |
|---|---|
| adam_text | Contents
Preface
xvii
Acknowledgments
xxiii
I Dynamical Systems
1
1
Deterministic Difference Equations
3
1.1
Scalar First-Order Linear Equations
3
1.2
Lag Operators
8
1.3
Scalar Second-Order Linear Equations
8
1.4
First-Order Linear Systems
11
2.4.2
Nonsingular System
12
2.4.2
Singular System
17
1.5
Phase Diagrams
20
1.6
Nonlinear Systems
21
1.7
Numerical Solutions Using Dynare
24
1.8
Exercises
30
2
Stochastic Difference Equations
33
2.1
First-Order Linear Systems
33
2.2
Scalar Linear Rational Expectations Models
35
2.2.1
Lag Operators
35
2.2.2
Method of Undetermined Coefficients
38
2.3
Multivariate Linear Rational Expectations Models
38
2.3.1
Blanchard-Kahn Method
39
2.3.2
Klein Method
41
2.3.3
Sims Method
43
2.4
Nonlinear Rational Expectations Models
48
2.5
Numerical Solutions Using Dynare
53
2.6
Exercises
62
vm Contents
3
Markov Processes
63
3.1
Markov Chains
64
3.1.1
Classification of States
67
3.1.2
Stationärt/
Distribution
70
3.13
Countable-State Markov Chains
73
3.2
General Markov Processes
75
3.3
Convergence
78
3.3.1
Strong Convergence
79
3.3.2
Weak Convergence
81
3.4
Exercises
85
4
Ergodic Theory and Stationary Processes
87
4.1
Ergodic Theorem
87
4.2
Application to Stationary Processes
91
4.3
Application to Stationary Markov Processes
95
4.4
Exercises
98
II Dynamic Optimization
99
5
Markov Decision Process Model
101
5.1
Model Setup
101
5.2
Examples
107
5.2.2
Discrete Choice
107
5.2.2
Optimal Stopping
108
5.2.3
Bandit Model 111
5.2.4
Optimal Control
114
5.3
Exercises
115
6
Finite-Horizon Dynamic Programming
. 117
6.1
A Motivating Example
117
6.2
Measurability Problem
120
6.3
Principle of Optimality
121
6.4
Optimal Control
128
6.5
Maximum Principle
134
6.6
Applications
138
6.6.1
Secretary Problem
138
6.6.2
A Consumption-Saving Problem
139
6J Exercises
Contents ix
7
Infinite-Horizon
Dynamic
Programming
143
7.1
Principle of Optimality
143
7.2
Bounded Rewards
152
7.3
Optimal Control
154
7.3.1
Bounded Rewards
154
7.3.2
Unbounded Rewards
157
7.4
The Maximum Principle and Transversality Conditions
162
7.5
Euler
Equations and Transversality Condition
165
7.6
Exercises
170
8
Applications
173
8.1
Option Exercise
173
8.2
Discrete Choice
176
8.3
Consumption and Saving
178
8.3.1
Deterministic Income
180
8.3.2
Stochastic Income
187
8.4
Consumption/Portfolio Choice
195
8.5
Inventory
197
8.5.1
Finite-Horizon Problem
199
8.5.2
Infinite-Horizon Problem
203
8.6
Investment
208
8.6.1
Neoclassical Theory
208
8.6.2
Q
Theory
209
8.6.3
Augmented Adjustment Costs
211
8.7
Exercises
217
9
Linear-Quadratic Models
221
9.1
Controlled Linear State-Space System
221
9.2
Finite-Horizon Problems
223
9.3
Infinite-Horizon Limits
226
9.3.3
Value Function Iteration
229
9.3.2
Policy Improvement Algorithm
230
9.3.3 Lagrange
Method
230
9.4
Optimal Policy under Commitment
231
9.5
Optimal Discretional Policy
237
9.6
Robust Control
241
9.6.1
Belief Distortions and Entropy
241
9.6.2
Two Robust Control Problems
243
9.6.3
Recursive Formulation
244
Contents
9.6.4
Linear-Quadratic
Model
with Gaussian Disturbances
245
9.6.5
Relative Entropy and Normal Distributions
247
9.6.6
Modified Certainty Equivalence Principle
248
9.7
Exercises
248
10
Control under Partial Information
251
10.1
Filters
251
20.2.2
Kalman
Filter
251
20.2.2
Hidden Markov Chain
258
20.2.3
Hidden Markov-Switching Model
260
10.2
Control Problems
261
10.3
Linear-Quadratic Control
263
10.4
Exercises
265
11
Numerical Methods
267
11.1
Numerical Integration
267
22.2.2
Gaussian Quadrature
267
22.2.2
Multidimensional Quadrature
269
11.2
DiscretizingARil) Processes
270
22.2.2 Tauchen (1986)
Method
270
22.2.2
Tauchen-Hussey
(1991)
Method
271
22.2.3
Simulating a Markov Chain
272
11.3
Interpolation
273
22.3.2
Orthogonal Polynomials
274
22.3.2
Splines
278
22.3.3
Multidimensional Approximation
280
11.4
Perturbation Methods
283
11.5
Projection Methods
285
11.6
Numerical Dynamic Programming
290
11.6.1
Discrete Approximation Methods
291
22.6.2
Smooth Approximation Methods
293
11.7
Exercises
296
12
Structural Estimation
297
12.1
Generalized Method of Moments
297
22.2.2
Estimation
298
22.2.2
Asymptotic Properties
300
22.2.3
Weighting Matrix and Covariance Matrix Estimation
302
22.2.4
Overidentifying Restrictions
303
22.2.5
Implementation
304
22Л.6
Relation to Other Estimation Methods
305
Contents xi
12.2 Maximum
Likelihood
305
12.2.1
Estimation
305
22.2.2
Asymptotic Properties
306
22.2.3
Hypothesis Testing
307
12.3
Simulation-Based Methods
308
22.3.2
Simulated Method of Moments
309
22.3.2
Simulated Maximum Likelihood
311
22.3.3
Indirect Inference
311
12.4
Exercises
315
III Equilibrium Analysis
317
13
Complete Markets Exchange Economies
319
13.1
Uncertainty, Preferences, and Endowments
319
13.2
Pareto Optimum
320
13.3
Time
0
Trading
321
23.3.2
Equilibrium Computation
323
23.3.2
Two Welfare Theorems
323
23.3.3
Asset Pricing
325
13.4
Sequential Trading
326
23.4.2
Investment Opportunities
326
23.4.2
Ponzi
Scheme and Portfolio Constraints
327
23.4.3
Radner Equilibrium
328
23.4.4
Arbitrage and State Prices
329
23.4.5
Complete Markets
331
23.4.6
Equilibrium with Transversality Condition
332
23.4.7
Natural Debt Limit
334
13.5
Equivalence of Equilibria
334
13.6
Asset Price Bubbles
337
13.7
Recursive Formulation
342
13.8
Asset Pricing
344
13.8.1
Capital Asset-Pricing Model
345
13.8.2
Factor-Pricing Model
345
23.5.3 Consumption-Based Capital Asset-Pricing Model
346
13.9
Exercises
348
14
Neoclassical Growth Models
353
14.1
Deterministic Models
353
24.2.
í
A Basic Ramsey Model
353
24.2.2
Incorporating Fiscal Policy
362
xii Contents
14.2
A
Basic RBC Model 365
14.2.1
Steady
State
ЪЬЬ
14.2.2
Calibration
367
14.2.3
Log-Linearized System
367
14.2.4 Business
Cycle Statistics and Model Results
372
14.2.5
Impact of a Permanent TFP Shock
375
24.2.6
Impact of a Temporary TFP Shock
376
24.2.7
Effects of Persistence and Critiques of the RBC Model
377
14.3
Extensions of the Basic RBC Model
378
24.3.2
Various Utility Functions
378
24.3.2
Capacity Utilization
383
24.3.3
Capital or Investment Adjustment Costs
384
24.3.4
Stochastic Trends
389
24.3.5
Other Sources of Shocks
391
14.4
Exercises
394
15
Bayesian Estimation of DSGE Models Using Dynare
397
15.1
Principles of Bayesian Estimation
398
15.2
Bayesian Estimation of DSGE Models
399
25.2.2
Numerical Solution and State-Space Representation
400
25.2.2
Evaluating the Likelihood Function
401
25.2.3
Computing the Posterior
403
15.3
An Example
405
25.3.2
Dynare Codes
405
25.3.2
Dynare Output
409
25.3.3
Stochastic Trends
410
15.4
Exercises
411
16
Overlapping Generations Models
413
16.1
Exchange Economies
413
2 6.2.2
A Special Case and Multiple Equilibria
415
26.2.2
Existence and Efficiency
420
16.2
Production Economies
425
26.2.2
Multiple Equilibria
427
26.2.2
Dynamic Efficiency
431
16.3
Asset Price Bubbles
432
16.4
Exercises
436
17
Incomplete Markets Models
439
17.1
Production Economies
439
27.2.2
Income Fluctuation Problem
440
27.2.2
Production
441
Contents xiii
27.2.3
Stationary Recursive Equilibrium
442
27.2.4
Computation and Implications
443
17.2
Endowment Economies
447
27.2.2
Risk-Free Rate 4A7
17.2.2
Fiat Money
449
27.2.3
Interest on Currency
449
27.2.4
Seigniorage
452
17.3
Aggregate Shocks
454
27.3.2
Recursive Equilibrium
454
27.3.2
Krusen-Smith
Method
455
17.4
Exercises
457
18
Search and Matching Models of Unemployment
459
18.1
A Basic DMP Model
460
18.1.1
Steady State
462
18.1.2
Transitional Dynamics
464
18.1.3
Large Firms
466
25.2.4 Efficiency
468
18.2
Endogenous Job Destruction
469
2S.2.2 Steady State
472
2S.2.2 Transitional Dynamics
475
18.3
Unemployment and Business Cycles
475
2S.3.2 Households
475
18.3.2
Firms
477
18.3.3
Nash Bargained Wages
479
28.3.4
Equilibrium
480
18.4
Exercises
480
19
Dynamic New Keynesian Models
481
19.1
A Basic DNK Model
482
29.2.2
Households
482
29.2.2
Final Goods Firms
483
29.2.3
Intermediate Goods Firms
484
29.2.4
Central Bank
486
29.2.5
Sticky-Price Equilibrium
486
29.2.6
Flexible-Price Equilibrium
487
29.2.7
Log-Linearized System
488
19.2
Monetary Policy Design
493
19.2.2
Efficient Allocation
493
29.2.2
Quadratic Approximation to Utility 49a
19.2.3
Commitment versus Discretion
498
xiv Contents
19.3
Fiscal
Stimulus 501
19.3.1
A Neoclassical Model
502
19.3.2
Monopolistic Competition
503
19.3.3
ADNKModel
504
19.3.4
Zero-Interest-Rate Lower Bound
507
19.3.5
Duration of Fiscal Stimulus
511
19.3.6
Government Purchases and Welfare
514
19.4
A Medium-Scale DSGE Model
517
29.4.2
Households
518
29.4.2
Firms
521
29.4.3
Monetary and Fiscal Policies
523
29.4.3
Aggregation and Equilibrium
523
19.5
Exercises
524
IV Further Topics
525
20
Recursive Utility
527
20.1
Deterministic Case
528
20.2.2
Koopmans s Utility
528
20.1.2
Construction
530
20.2
Stochastic Case
533
20.2.2
Epstein-Zin Preferences
533
20.2.2
Ambiguity Aversion
539
20.2.3
Temporal Resolution of Uncertainty
546
20.3
Properties of Recursive Utility
549
20.3.2
Concavity
549
20.3.2
Risk Aversion
550
20.3.3
Utility Gradients and Pricing Kernels
550
20.4
Portfolio Choice and Asset Pricing
554
20.4.2
Optimally and Equilibrium
554
20.4.2
Log-Linear Approximation
557
20.4.3
Long-Run Risk
563
20.5
Parete Optimality
569
20.5.2
Lucas-Stokey Approach
570
20.5.2
Dumas-Wang-Uppal Approach
572
20.6
Exercises
573
21
Dynamic Games
575
21
Л
Repeated Games
576
22.2.2
Perfect Monitoring
576
Contents xv
22.2.2
Equilibrium Pax/off Set
578
21.1.3
Computation
581
22.2.4
Simple Strategies
583
22.2.5
Imperfect Public Monitoring
583
21.2
Dynamic Stochastic Games
587
21.3
Application: The Great Fish War
588
21.4
Credible Government Policies
591
22.4.2
One-Period Economy
591
22.4.2
Infinitely Repeated Economy
593
22.4.3
Equilibrium Value Set
595
22.4.4
Best and Worst
SPE
Values
597
22.4.5
Recursive Strategies
599
21.5
Exercises
601
22
Recursive Contracts
603
22.1
Limited Commitment
604
22.1.2
A Dynamic Programming Method
605
22.2.2
A Lagrangian Method
607
22.2.3
An Alternative Characterization
608
22.2
Hidden Action
609
22.3
Hidden Information
615
22.3.2
Characterizatbns
617
22.3.2
Long-Run Poverty
621
22.4
Exercises
622
Mathematical Appendixes
625
A Linear Algebra
627
В
Real and Functional Analysis
633
С
Convex Analysis
643
D
Measure and Probability Theory
651
References
661
Matlab
Index
683
Name Index
685
Subject Index
691
|
| any_adam_object | 1 |
| author | Miao, Jianjun 1969- |
| author_GND | (DE-588)133541398 |
| author_facet | Miao, Jianjun 1969- |
| author_role | aut |
| author_sort | Miao, Jianjun 1969- |
| author_variant | j m jm |
| building | Verbundindex |
| bvnumber | BV042137454 |
| classification_rvk | QC 040 QH 170 QH 237 QH 720 |
| ctrlnum | (OCoLC)895286829 (DE-599)GBV788156756 |
| dewey-full | 330.01/5195 |
| dewey-hundreds | 300 - Social sciences |
| dewey-ones | 330 - Economics |
| dewey-raw | 330.01/5195 |
| dewey-search | 330.01/5195 |
| dewey-sort | 3330.01 45195 |
| dewey-tens | 330 - Economics |
| discipline | Wirtschaftswissenschaften |
| format | Book |
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| id | DE-604.BV042137454 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T01:13:36Z |
| institution | BVB |
| isbn | 9780262027618 |
| language | English |
| lccn | 2014003867 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027577497 |
| oclc_num | 895286829 |
| open_access_boolean | |
| owner | DE-945 DE-384 DE-20 DE-1049 DE-355 DE-BY-UBR DE-83 |
| owner_facet | DE-945 DE-384 DE-20 DE-1049 DE-355 DE-BY-UBR DE-83 |
| physical | XXI, 710 S. graph. Darst. |
| publishDate | 2014 |
| publishDateSearch | 2014 |
| publishDateSort | 2014 |
| publisher | MIT Press |
| record_format | marc |
| spelling | Miao, Jianjun 1969- Verfasser (DE-588)133541398 aut Economic dynamics in discrete time Jianjun Miao Cambridge, Mass. [u.a.] MIT Press 2014 XXI, 710 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index Diskrete Optimierung (DE-588)4150179-2 gnd rswk-swf Dynamisches Modell (DE-588)4150932-8 gnd rswk-swf Dynamisches Modell (DE-588)4150932-8 s Diskrete Optimierung (DE-588)4150179-2 s DE-604 Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027577497&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Miao, Jianjun 1969- Economic dynamics in discrete time Diskrete Optimierung (DE-588)4150179-2 gnd Dynamisches Modell (DE-588)4150932-8 gnd |
| subject_GND | (DE-588)4150179-2 (DE-588)4150932-8 |
| title | Economic dynamics in discrete time |
| title_auth | Economic dynamics in discrete time |
| title_exact_search | Economic dynamics in discrete time |
| title_full | Economic dynamics in discrete time Jianjun Miao |
| title_fullStr | Economic dynamics in discrete time Jianjun Miao |
| title_full_unstemmed | Economic dynamics in discrete time Jianjun Miao |
| title_short | Economic dynamics in discrete time |
| title_sort | economic dynamics in discrete time |
| topic | Diskrete Optimierung (DE-588)4150179-2 gnd Dynamisches Modell (DE-588)4150932-8 gnd |
| topic_facet | Diskrete Optimierung Dynamisches Modell |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027577497&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT miaojianjun economicdynamicsindiscretetime |