Dynamic general equilibrium modeling: computational methods and applications
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Heidelberg
Springer
2009
|
| Ausgabe: | 2. ed., corr. 2. print. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 667 - 685 |
| Beschreibung: | XXXI, 704 S. graph. Darst. |
| ISBN: | 9783642031489 |
Internformat
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| 100 | 1 | |a Heer, Burkhard |d 1967- |e Verfasser |0 (DE-588)114005265 |4 aut | |
| 245 | 1 | 0 | |a Dynamic general equilibrium modeling |b computational methods and applications |c Burkhard Heer ; Alfred Maußner |
| 246 | 1 | 3 | |a Dynamic general equilibrium modelling |
| 250 | |a 2. ed., corr. 2. print. | ||
| 264 | 1 | |a Berlin ; Heidelberg |b Springer |c 2009 | |
| 300 | |a XXXI, 704 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Literaturverz. S. 667 - 685 | ||
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| 650 | 0 | 7 | |a Allgemeines Gleichgewichtsmodell |0 (DE-588)4210294-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Konjunkturtheorie |0 (DE-588)4125557-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Wachstumstheorie |0 (DE-588)4128160-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Dynamische Makroökonomie |0 (DE-588)4200428-7 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Dynamische Makroökonomie |0 (DE-588)4200428-7 |D s |
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| 700 | 1 | |a Maußner, Alfred |e Verfasser |0 (DE-588)121234274 |4 aut | |
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Datensatz im Suchindex
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| adam_text | IMAGE 1
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
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/995947627
DIGITALISIERT DURCH
IMAGE 2
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
IMAGE 3
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 T AND IP
252
5.2.2 ITERATIVE COMPUTATION OF THE FIXED P O I N T . . .. 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
IMAGE 4
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 29-I
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
IMAGE 5
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 OF 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 KRUSELL AND SMITH IN OVERLAPPING GENERATIONS
MODELS 533
APPENDIX 549
A.5 PARAMETERS OF THE AR(1)-PROCESS WITH ANNUAL PERIODS 549
PROBLEMS 551
IMAGE 6
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
11.1.1 LINEAR INDEPENDENCE 558
11.1.5 MATRICES 558
11.1.6 LINEAR AND QUADRATIC FORMS 563
11.1.7 EIGENVALUES AND EIGENVECTORS 561
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
IMAGE 7
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 687
SUBJECT INDEX 693
|
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| dewey-ones | 339 - Macroeconomics and related topics |
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| discipline | Wirtschaftswissenschaften |
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| id | DE-604.BV026733598 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T23:18:01Z |
| institution | BVB |
| isbn | 9783642031489 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-022273213 |
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| physical | XXXI, 704 S. graph. Darst. |
| publishDate | 2009 |
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| publishDateSort | 2009 |
| publisher | Springer |
| record_format | marc |
| spelling | Heer, Burkhard 1967- Verfasser (DE-588)114005265 aut Dynamic general equilibrium modeling computational methods and applications Burkhard Heer ; Alfred Maußner Dynamic general equilibrium modelling 2. ed., corr. 2. print. Berlin ; Heidelberg Springer 2009 XXXI, 704 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. 667 - 685 Stochastische dynamische Optimierung (DE-588)4183372-7 gnd rswk-swf Verteilungstheorie (DE-588)4133628-8 gnd rswk-swf Allgemeines Gleichgewichtsmodell (DE-588)4210294-7 gnd rswk-swf Konjunkturtheorie (DE-588)4125557-4 gnd rswk-swf Wachstumstheorie (DE-588)4128160-3 gnd rswk-swf Dynamische Makroökonomie (DE-588)4200428-7 gnd rswk-swf Dynamische Makroökonomie (DE-588)4200428-7 s Allgemeines Gleichgewichtsmodell (DE-588)4210294-7 s DE-188 Konjunkturtheorie (DE-588)4125557-4 s Wachstumstheorie (DE-588)4128160-3 s Verteilungstheorie (DE-588)4133628-8 s Stochastische dynamische Optimierung (DE-588)4183372-7 s Maußner, Alfred Verfasser (DE-588)121234274 aut DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=022273213&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Heer, Burkhard 1967- Maußner, Alfred Dynamic general equilibrium modeling computational methods and applications Stochastische dynamische Optimierung (DE-588)4183372-7 gnd Verteilungstheorie (DE-588)4133628-8 gnd Allgemeines Gleichgewichtsmodell (DE-588)4210294-7 gnd Konjunkturtheorie (DE-588)4125557-4 gnd Wachstumstheorie (DE-588)4128160-3 gnd Dynamische Makroökonomie (DE-588)4200428-7 gnd |
| subject_GND | (DE-588)4183372-7 (DE-588)4133628-8 (DE-588)4210294-7 (DE-588)4125557-4 (DE-588)4128160-3 (DE-588)4200428-7 |
| title | Dynamic general equilibrium modeling computational methods and applications |
| title_alt | Dynamic general equilibrium modelling |
| 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 | Stochastische dynamische Optimierung (DE-588)4183372-7 gnd Verteilungstheorie (DE-588)4133628-8 gnd Allgemeines Gleichgewichtsmodell (DE-588)4210294-7 gnd Konjunkturtheorie (DE-588)4125557-4 gnd Wachstumstheorie (DE-588)4128160-3 gnd Dynamische Makroökonomie (DE-588)4200428-7 gnd |
| topic_facet | Stochastische dynamische Optimierung Verteilungstheorie Allgemeines Gleichgewichtsmodell Konjunkturtheorie Wachstumstheorie Dynamische Makroökonomie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=022273213&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT heerburkhard dynamicgeneralequilibriummodelingcomputationalmethodsandapplications AT maußneralfred dynamicgeneralequilibriummodelingcomputationalmethodsandapplications AT heerburkhard dynamicgeneralequilibriummodelling AT maußneralfred dynamicgeneralequilibriummodelling |