Dynamic general equilibrium modeling: computational methods and applications
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Heidelberg
Springer
2009
|
| Ausgabe: | 2. ed. |
| Schlagworte: | |
| Online-Zugang: | BTU01 FAN01 FHA01 FHM01 FHN01 FHR01 FKE01 FNU01 HWR01 UBA01 UBG01 UBR01 UBT01 UBY01 UPA01 Volltext Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 667 - 685 |
| Beschreibung: | 1 Online-Ressource (XXXI, 704 S.) graph. Darst. |
| ISBN: | 9783540856856 9783642031489 |
| DOI: | 10.1007/978-3-540-85685-6 |
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Datensatz im Suchindex
| _version_ | 1804140671701876736 |
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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 BIBLIOGRAFISCHE
INFORMATIONEN HTTP://D-NB.INFO/995947627 DIGITALISIERT DURCH 169 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 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 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 28
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 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 11.6.4 GENETIC
ALGORITHMS 633 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 630 693 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
|
| any_adam_object | 1 |
| author | Heer, Burkhard 1967- Maußner, Alfred |
| author_GND | (DE-588)114005265 (DE-588)121234274 |
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| author_role | aut aut |
| author_sort | Heer, Burkhard 1967- |
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| 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 |
| doi_str_mv | 10.1007/978-3-540-85685-6 |
| edition | 2. ed. |
| format | Electronic eBook |
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| id | DE-604.BV035752444 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T22:03:41Z |
| institution | BVB |
| isbn | 9783540856856 9783642031489 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018612466 |
| oclc_num | 850941467 |
| open_access_boolean | |
| owner | DE-473 DE-BY-UBG DE-739 DE-1102 DE-898 DE-BY-UBR DE-355 DE-BY-UBR DE-M347 DE-703 DE-1049 DE-634 DE-Aug4 DE-2070s DE-859 DE-706 DE-92 DE-384 |
| owner_facet | DE-473 DE-BY-UBG DE-739 DE-1102 DE-898 DE-BY-UBR DE-355 DE-BY-UBR DE-M347 DE-703 DE-1049 DE-634 DE-Aug4 DE-2070s DE-859 DE-706 DE-92 DE-384 |
| physical | 1 Online-Ressource (XXXI, 704 S.) graph. Darst. |
| psigel | ZDB-2-SBE |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| 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 2. ed. Berlin ; Heidelberg Springer 2009 1 Online-Ressource (XXXI, 704 S.) graph. Darst. txt rdacontent c rdamedia cr rdacarrier Literaturverz. S. 667 - 685 Agent-based Model stw Allgemeines Gleichgewicht stw CGE-Modelling stw Dynamisches Gleichgewicht stw Theorie stw Dynamische Makroökonomie (DE-588)4200428-7 gnd rswk-swf Konjunkturtheorie (DE-588)4125557-4 gnd rswk-swf Verteilungstheorie (DE-588)4133628-8 gnd rswk-swf Wachstumstheorie (DE-588)4128160-3 gnd rswk-swf Stochastische dynamische Optimierung (DE-588)4183372-7 gnd rswk-swf Allgemeines Gleichgewichtsmodell (DE-588)4210294-7 gnd rswk-swf Dynamische Makroökonomie (DE-588)4200428-7 s Allgemeines Gleichgewichtsmodell (DE-588)4210294-7 s DE-604 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 1\p DE-604 Maußner, Alfred Verfasser (DE-588)121234274 aut https://doi.org/10.1007/978-3-540-85685-6 Verlag Volltext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018612466&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| 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 Dynamische Makroökonomie (DE-588)4200428-7 gnd Konjunkturtheorie (DE-588)4125557-4 gnd Verteilungstheorie (DE-588)4133628-8 gnd Wachstumstheorie (DE-588)4128160-3 gnd Stochastische dynamische Optimierung (DE-588)4183372-7 gnd Allgemeines Gleichgewichtsmodell (DE-588)4210294-7 gnd |
| subject_GND | (DE-588)4200428-7 (DE-588)4125557-4 (DE-588)4133628-8 (DE-588)4128160-3 (DE-588)4183372-7 (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 Dynamische Makroökonomie (DE-588)4200428-7 gnd Konjunkturtheorie (DE-588)4125557-4 gnd Verteilungstheorie (DE-588)4133628-8 gnd Wachstumstheorie (DE-588)4128160-3 gnd Stochastische dynamische Optimierung (DE-588)4183372-7 gnd Allgemeines Gleichgewichtsmodell (DE-588)4210294-7 gnd |
| topic_facet | Agent-based Model Allgemeines Gleichgewicht CGE-Modelling Dynamisches Gleichgewicht Theorie Dynamische Makroökonomie Konjunkturtheorie Verteilungstheorie Wachstumstheorie Stochastische dynamische Optimierung Allgemeines Gleichgewichtsmodell |
| url | https://doi.org/10.1007/978-3-540-85685-6 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018612466&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT heerburkhard dynamicgeneralequilibriummodelingcomputationalmethodsandapplications AT maußneralfred dynamicgeneralequilibriummodelingcomputationalmethodsandapplications |