Dynamic general equilibrium modeling: computational methods and applications
Gespeichert in:
Beteiligte Personen: | , |
---|---|
Format: | Buch |
Sprache: | Englisch |
Veröffentlicht: |
Berlin [u.a.]
Springer
2009
|
Ausgabe: | 2. ed. |
Schlagwörter: | |
Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016722522&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
Umfang: | XXXI, 702 S. graph. Darst. |
ISBN: | 9783540856849 |
Internformat
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245 | 1 | 0 | |a Dynamic general equilibrium modeling |b computational methods and applications |c Burkhard Heer ; Alfred Maußner |
250 | |a 2. ed. | ||
264 | 1 | |a Berlin [u.a.] |b Springer |c 2009 | |
300 | |a XXXI, 702 S. |b graph. Darst. | ||
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Datensatz im Suchindex
DE-BY-TUM_call_number | 1302 WIR 050f 2010 A 9612(2) |
---|---|
DE-BY-TUM_katkey | 1747900 |
DE-BY-TUM_location | 13 |
DE-BY-TUM_media_number | 040007266784 |
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adam_text |
Table
of
Contents
Preface
.
VII
List of Figures
. XXIII
List of Symbols
.XXVII
List of Programs
. XXIX
Part I. Representative Agent Models
1
Basic Models
. 3
1.1
The Deterministic Finite-Horizon Ramsey Model
and Non-Linear Programming
. 4
1.1.1
The Ramsey Problem
. 4
1.1.2
The Kuhn-Tucker Theorem
. 6
1.2
The Deterministic Infinite-Horizon Ramsey Model
and Dynamic Programming
. 9
1.2.1
Recursive Utility
. 9
1.2.2
Euler
Equations
. 11
1.2.3
Dynamic Programming
. 13
1.2.4
The Saddle Path
. 16
1.2.5
Models with Analytic Solution
. 21
1.3
The Stochastic Ramsey Model
. 25
1.3.1
Stochastic Output
. 25
1.3.2
Stochastic
Euler
Equations
. 28
1.3.3
Stochastic Dynamic Programming
. 30
1.4
Labor Supply, Growth, and the Decentralized
Economy
. 33
1.4.1
Substitution of Leisure
. 33
1.4.2
Growth and Restrictions on Technology and
Preferences
. 34
XVI
1.4.3
The Decentralized Economy
. 40
1.5
Model Calibration and Evaluation
. 44
1.5.1
The Benchmark Model
. 44
1.5.2
Calibration
. 46
1.5.3
Model Evaluation
. 51
1.6
Numerical Solution Methods
. 59
1.6.1
Characterization
. 59
1.6.2
Accuracy of Solutions
. 61
Appendices
. 65
A.I Solution to Example
1.2.1. 65
A.
2
Restrictions on Technology and Preferences
. 67
Problems
. 72
2
Perturbation Methods
. 75
2.1
Linear Solutions for Deterministic Models
. 77
2.2
The Stochastic Linear Quadratic Model
. 84
2.3
LQ Approximation
. 89
2.3.1
A Warning
. 89
2.3.2
An Illustrative Example
. 91
2.3.3
The General Method
. 95
2.4
Linear Approximation
. 98
2.4.1
An Illustrative Example
. 99
2.4.2
The General Method
.106
2.5
Quadratic Approximation
.114
2.5.1
Introduction
.114
2.5.2
The Deterministic Growth Model
.116
2.5.3
The Stochastic Growth Model
.118
2.5.4
Generalization
.124
2.6
Applications
.131
2.6.1
The Benchmark Model
.131
2.6.2
Time to Build
.138
2.6.3
New Keynesian Phillips Curve
.143
Appendices
.158
A.3 Solution of the Stochastic LQ Problem
.158
A.4 Derivation of the Log-Linear Model of the New
Keynesian Phillips Curve
.160
Problems
.169
XVII
3
Deterministic Extended Path
.175
3.1
Solution of Deterministic Models
.176
3.1.1
Finite-Horizon Models
.176
3.1.2
Infinite-Horizon Models
.179
3.2
Solution of Stochastic Models
.181
3.2.1
An Illustrative Example
.182
3.2.2
The Algorithm in General
.184
3.3
Further Applications
.186
3.3.1
The Benchmark Model
.186
3.3.2
A Small Open Economy
.189
Problems
.200
4
Discrete State Space Methods
.207
4.1
Solution of Deterministic Models
.208
4.2
Solution of Stochastic Models
.221
4.3
Further Applications
.232
4.3.1
Non-Negative Investment
.232
4.3.2
The Benchmark Model
.235
Problems
.238
5
Parameterized Expectations
.243
5.1
Characterization of Approximate Solutions
.244
5.1.1
An Illustrative Example
.244
5.1.2
A General Framework
.247
5.1.3
Adaptive Learning
.249
5.2
Computation of the Approximate Solution
.252
5.2.1
Choice of
Τ
and
-φ
.252
5.2.2
Iterative Computation of the Fixed Point
. 254
5.2.3
Direct Computation of the Fixed Point
.255
5.2.4
Starting Points
.257
5.3
Applications
.259
5.3.1
Stochastic Growth with Non-Negative
Investment
.259
5.3.2
The Benchmark Model
.265
5.3.3
Limited Participation Model of Money
.268
Problems
.281
XVIII
6
Projection
Methods
.285
6.1
Characterization of Projection Methods
.286
6.1.1
An Example
.286
6.1.2
The General Framework
.289
6.1.3
Relation to Parameterized Expectations
.291
6.2
The Building Blocks of Projection Methods
.293
6.2.1
Approximating Function
.293
6.2.2
Residual Function
.294
6.2.3
Projection and Solution
.295
6.2.4
Accuracy of Solution
.297
6.3
Applications
.297
6.3.1
The Deterministic Growth Model
.298
6.3.2
The Stochastic Growth Model with
Non-Negative Investment
.302
6.3.3
The Benchmark Model
.309
6.3.4
The Equity Premium Puzzle
.311
Problems
.324
Part II. Heterogeneous Agent Models
7
Computation of Stationary Distributions
.329
7.1
A Simple Heterogeneous-Agent Model with
Aggregate Certainty
.331
7.2
The Stationary Equilibrium of a
Heterogeneous-Agent Economy
.338
7.3
Applications
.359
7.3.1
The Risk-Free Rate in Economies with
Heterogeneous Agents and Incomplete
Insurance
.359
7.3.2
Heterogeneous Productivity and Income
Distribution
.367
Problems
.384
8
Dynamics of the Distribution Function
.389
8.1
Introduction
.390
8.2
Transition Dynamics
.393
XIX
8.2.1
Partial
Information
.395
8.2.2
Guessing a Finite Time Path for the Factor
Prices
.406
8.3
Aggregate Uncertainty
.411
8.4
Applications
.421
8.4.1
Costs of Business Cycles with Liquidity
Constraints and Indivisibilities
.422
8.4.2
Business Cycle Dynamics
òf
the Income
Distribution
.431
8.5
Epilogue
.446
Problems
.449
9
Deterministic Overlapping Generations Models
. 451
9.1
The Steady State
.453
9.1.1
An Illustrative Example
.454
9.1.2
Computation of the Steady State
.458
9.2
The Transition Path
.469
9.2.1
A Stylized 6-Period Model
.471
9.2.2
Computation of the Transition Path
.473
9.3
Application: The Demographic Transition
.482
9.3.1
The Model
.483
9.3.2
Computation
.489
9.3.3
Results
.499
Problems
.502
10
Stochastic Overlapping Generations Models
.507
10.1
Individual Uncertainty
.507
10.2
Aggregate Uncertainty
.520
10.2.1
Log-Linearization
.522
10.2.2
The Algorithm of Kruseli and Smith in
Overlapping Generations Models
.533
Appendix
.549
A.5 Parameters of the AR{1)-Process with Annual
Periods
.549
Problems
.551
XX
Part III. Tools
11
Numerical Methods
.555
11.1
A Quick Refresher in Linear Algebra
.555
11.1.1
Complex Numbers
.555
11.1.2
Vectors
.557
11.1.3
Norms
.558
11.1.4
Linear Independence
.558
11.1.5
Matrices
.558
11.1.6
Linear and Quadratic Forms
.563
11.1.7
Eigenvalues and Eigenvectors
.564
11.1.8
Matrix Factorization
.565
11.1.9
Givens
Rotation
.570
11.2
Function Approximation
.570
11.2.1
Taylor's Theorem
.571
11.2.2
Implicit Function Theorem
.574
11.2.3
Linear Interpolation
.575
11.2.4
Cubic Splines
.577
11.2.5
Families of Polynomials
.578
11.2.6
Chebyshev Polynomials
.581
11.2.7
Multidimensional Approximation
.588
11.2.8
Neural Networks
.591
11.3
Numerical Differentiation and Integration
.593
11.3.1
Differentiation
.593
11.3.2
Numerical Integration
.598
11.4
Stopping Criteria for Iterative Algorithms
.603
11.5
Non-Linear Equations
.606
11.5.1
Single Equations
.607
11.5.2
Multiple Equations
.610
11.6
Numerical Optimization
.622
11.6.1
Golden Section Search
.623
11.6.2
Gauss-Newton Method
.626
11.6.3
Quasi-Newton
.630
11.6.4
Genetic Algorithms
.633
XXI
12
Various Other Tools
.645
12.1
Difference Equations
.645
12.1.1
Linear Difference Equations
.645
12.1.2
Non-Linear Difference Equations
.648
12.2
Markov Processes
.651
12.3
DM-Statistic
.658
12.4
The HP-Filter
.663
References
.667
Name Index
.685
Subject Index
.691 |
any_adam_object | 1 |
author | Heer, Burkhard 1967- Maußner, Alfred |
author_GND | (DE-588)114005265 (DE-588)121234274 |
author_facet | Heer, Burkhard 1967- Maußner, Alfred |
author_role | aut aut |
author_sort | Heer, Burkhard 1967- |
author_variant | b h bh a m am |
building | Verbundindex |
bvnumber | BV035053903 |
classification_rvk | QC 140 |
classification_tum | WIR 101f WIR 060f WIR 050f |
ctrlnum | (OCoLC)298551623 (DE-599)DNB990358461 |
dewey-full | 339.5015195 |
dewey-hundreds | 300 - Social sciences |
dewey-ones | 339 - Macroeconomics and related topics |
dewey-raw | 339.5015195 |
dewey-search | 339.5015195 |
dewey-sort | 3339.5015195 |
dewey-tens | 330 - Economics |
discipline | Wirtschaftswissenschaften |
edition | 2. ed. |
format | Book |
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id | DE-604.BV035053903 |
illustrated | Illustrated |
indexdate | 2025-01-11T14:45:46Z |
institution | BVB |
isbn | 9783540856849 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016722522 |
oclc_num | 298551623 |
open_access_boolean | |
owner | DE-355 DE-BY-UBR DE-384 DE-945 DE-12 DE-91S DE-BY-TUM DE-188 DE-83 |
owner_facet | DE-355 DE-BY-UBR DE-384 DE-945 DE-12 DE-91S DE-BY-TUM DE-188 DE-83 |
physical | XXXI, 702 S. graph. Darst. |
publishDate | 2009 |
publishDateSearch | 2009 |
publishDateSort | 2009 |
publisher | Springer |
record_format | marc |
spellingShingle | Heer, Burkhard 1967- Maußner, Alfred Dynamic general equilibrium modeling computational methods and applications Agent-based Model stw Allgemeines Gleichgewicht stw CGE-Modelling stw Dynamisches Gleichgewicht stw Theorie stw Wachstumstheorie (DE-588)4128160-3 gnd Konjunkturtheorie (DE-588)4125557-4 gnd Verteilungstheorie (DE-588)4133628-8 gnd Stochastische dynamische Optimierung (DE-588)4183372-7 gnd Dynamische Makroökonomie (DE-588)4200428-7 gnd Allgemeines Gleichgewichtsmodell (DE-588)4210294-7 gnd |
subject_GND | (DE-588)4128160-3 (DE-588)4125557-4 (DE-588)4133628-8 (DE-588)4183372-7 (DE-588)4200428-7 (DE-588)4210294-7 |
title | Dynamic general equilibrium modeling computational methods and applications |
title_auth | Dynamic general equilibrium modeling computational methods and applications |
title_exact_search | Dynamic general equilibrium modeling computational methods and applications |
title_full | Dynamic general equilibrium modeling computational methods and applications Burkhard Heer ; Alfred Maußner |
title_fullStr | Dynamic general equilibrium modeling computational methods and applications Burkhard Heer ; Alfred Maußner |
title_full_unstemmed | Dynamic general equilibrium modeling computational methods and applications Burkhard Heer ; Alfred Maußner |
title_short | Dynamic general equilibrium modeling |
title_sort | dynamic general equilibrium modeling computational methods and applications |
title_sub | computational methods and applications |
topic | Agent-based Model stw Allgemeines Gleichgewicht stw CGE-Modelling stw Dynamisches Gleichgewicht stw Theorie stw Wachstumstheorie (DE-588)4128160-3 gnd Konjunkturtheorie (DE-588)4125557-4 gnd Verteilungstheorie (DE-588)4133628-8 gnd Stochastische dynamische Optimierung (DE-588)4183372-7 gnd Dynamische Makroökonomie (DE-588)4200428-7 gnd Allgemeines Gleichgewichtsmodell (DE-588)4210294-7 gnd |
topic_facet | Agent-based Model Allgemeines Gleichgewicht CGE-Modelling Dynamisches Gleichgewicht Theorie Wachstumstheorie Konjunkturtheorie Verteilungstheorie Stochastische dynamische Optimierung Dynamische Makroökonomie Allgemeines Gleichgewichtsmodell |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016722522&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT heerburkhard dynamicgeneralequilibriummodelingcomputationalmethodsandapplications AT maußneralfred dynamicgeneralequilibriummodelingcomputationalmethodsandapplications |
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1302 WIR 050f 2010 A 9612(2) Lageplan |
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Exemplar 1 | Ausleihbar Am Standort |