Economic growth: theory and numerical solution methods
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer Berlin
2010
|
| Edition: | 1. softcover print. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XX, 528 S. 19 schw.-w. Ill. |
| ISBN: | 9783540686651 9783642111327 |
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| 245 | 1 | 0 | |a Economic growth |b theory and numerical solution methods |c Alfonso Novales ; Esther Fernández ; Jesús Ruíz |
| 250 | |a 1. softcover print. | ||
| 264 | 1 | |a Berlin [u.a.] |b Springer Berlin |c 2010 | |
| 300 | |a XX, 528 S. |b 19 schw.-w. Ill. | ||
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Record in the Search Index
| _version_ | 1804145723176910848 |
|---|---|
| adam_text | IMAGE 1
CONTENTS
INTRODUCTION 1
1.1 A FEW TIME SERIES CONCEPTS 2
1.1.1 SOME SIMPLE STOCHASTIC PROCESSES 3
1.1.2 STATIONARITY, MEAN REVERSION, IMPULSE RESPONSES 6 1.1.3 NUMERICAL
EXERCISE: SIMULATING SIMPLE STOCHASTIC PROCESSES 9
1.2 STRUCTURAL MACROECONOMIC MODELS 12
1.2.1 STATIC STRUCTURAL MODELS 12
1.2.2 DYNAMIC STRUCTURAL MODELS 16
1.2.3 STOCHASTIC, DYNAMIC STRUCTURAL MODELS 21
1.2.4 STOCHASTIC SIMULATION 23
1.2.5 NUMERICAL EXERCISE - SIMULATING DYNAMIC, STRUCTURAL MACROECONOMIC
MODELS 24
1.3 WHY ARE ECONOMIC GROWTH MODELS INTERESTING? 27
1.3.1 MICROECONOMIC FOUNDATIONS OF MACROECONOMICS 27 1.3.2 LUCAS
CRITIQUE ON ECONOMIC POLICY EVALUATION 33 1.3.3 A BRIEF OVERVIEW OF
DEVELOPMENTS ON GROWTH THEORY 35 1.3.4 THE USE OF GROWTH MODELS FOR
ACTUAL POLICY MAKING 39 1.4 NUMERICAL SOLUTION METHODS 40
1.4.1 WHY DO WE NEED TO COMPUTE NUMERICAL SOLUTIONS TO GROWTH MODELS? 40
1.4.2 STABILITY 42
1.4.3 INDETERMINACY 43
1.4.4 THE TYPE OF QUESTIONS WE ASK AND THE CONCLUSIONS WE REACH 44
1.5 SYNOPSIS OF THE BOOK 48
THE NEOCLASSICAL GROWTH MODEL UNDER A CONSTANT SAVINGS RATE 53 2.1
INTRODUCTION 53
2.2 RETURNS TO SCALE AND SUSTAINED GROWTH 54
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1000500357
DIGITALISIERT DURCH
IMAGE 2
CONTENTS
2.3 THE NEOCLASSICAL GROWTH MODEL OF SOLOW AND SWAN 59
2.3.1 DESCRIPTION OF THE MODEL 60
2.3.2 THE DYNAMICS OF THE ECONOMY 61
2.3.3 STEADY-STATE 64
2.3.4 THE TRANSITION TOWARDS STEADY-STATE 68
2.3.5 THE DURATION OF THE TRANSITION TO STEADY-STATE 69
2.3.6 THE GROWTH RATE OF OUTPUT AND CONSUMPTION 69
2.3.7 CONVERGENCE IN THE NEOCLASSICAL MODEL 71
2.3.8 A SPECIAL STEADY-STATE: THE GOLDEN RULE OF CAPITAL ACCUMULATION 73
2.4 SOLVING THE CONTINUOUS-TIME SOLOW-SWAN MODEL 76
2.4.1 SOLUTION TO THE EXACT MODEL 76
2.4.2 THE LINEAR APPROXIMATION TO THE SOLOW-SWAN MODEL 77 2.4.3 CHANGES
IN STRUCTURAL PARAMETERS 79
2.4.4 DYNAMIC INEFFICIENCY 82
2.5 THE DETERMINISTIC, DISCRETE-TIME SOLOW SWAN MODEL 85 2.5.1 THE EXACT
SOLUTION 85
2.5.2 APPROXIMATE SOLUTIONS TO THE DISCRETE-TIME MODEL 87 2.5.3
NUMERICAL EXERCISE - SOLVING THE DETERMINISTIC SOLOW-SWAN MODEL 89
2.5.4 NUMERICAL EXERCISE - A PERMANENT CHANGE IN THE SAVINGS RATE 91
2.5.5 NUMERICAL EXERCISE - DYNAMIC INEFFICIENCY 93
2.6 THE STOCHASTIC, DISCRETE TIME VERSION OF THE SOLOW-SWAN MODEL.. 95
2.6.1 NUMERICAL EXERCISE - SOLVING THE STOCHASTIC SOLOW-SWAN MODEL 96
2.7 EXERCISES 98
OPTIMAL GROWTH. CONTINUOUS TIME ANALYSIS 101
3.1 THE CONTINUOUS-TIME VERSION OF THE CASS-KOOPMANS MODEL 101 3.1.1
OPTIMALITY CONDITIONS FOR THE CASS-KOOPMANS MODEL 103 3.1.2 THE
INSTANTANEOUS ELASTICITY OF SUBSTITUTION OF CONSUMPTION (IES) 104
3.1.3 RISK AVERSION AND THE INTERTEMPORAL SUBSTITUTION OF CONSUMPTION
106
3.1.4 KEYNES-RAMSEY CONDITION 107
3.1.5 THE OPTIMAL STEADY-STATE 108
3.1.6 NUMERICAL EXERCISE: THE SENSITIVITY OF STEADY-STATE LEVELS TO
CHANGES IN STRUCTURAL PARAMETERS 110
3.1.7 EXISTENCE, UNIQUENESS AND STABILITY OF LONG-RUN EQUILIBRIUM - A
GRAPHICAL DISCUSSION 112
3.1.8 SUBOPTIMALITY OF THE GOLDEN RULE 114
3.2 STABILITY AND CONVERGENCE 115
3.2.1 THE TRAJECTORY FOR INCOME 119
IMAGE 3
CONTENTS
3.2.2 NUMERICAL EXERCISE - CHARACTERIZING THE TRANSITION AFTER A CHANGE
IN A STRUCTURAL PARAMETER 120
3.3 INTERPRETING THE CENTRAL PLANNERS S MODEL AS A COMPETITIVE
EQUILIBRIUM ECONOMY 126
3.3.1 THE EFFICIENCY OF COMPETITIVE EQUILIBRIUM 129
3.4 A COMPETITIVE EQUILIBRIUM WITH GOVERNMENT 131
3.4.1 THE STRUCTURE OF THE ECONOMY 131
3.4.2 FEASIBLE STATIONARY PUBLIC EXPENDITURE AND FINANCING POLICIES 135
3.4.3 COMPETITIVE EQUILIBRIUM 135
3.4.4 GLOBAL CONSTRAINT OF RESOURCES 136
3.4.5 THE REPRESENTATIVE AGENT PROBLEM 136
3.5 ON THE EFFICIENCY OF EQUILIBRIUM WITH GOVERNMENT 138 3.5.1 ON THE
EFFICIENCY OF EQUILIBRIUM UNDER LUMP-SUM TAXES AND DEBT 138
3.5.2 THE INEFFICIENCY OF THE COMPETITIVE EQUILIBRIUM ALLOCATION UNDER
DISTORTIONARY TAXES 140
3.6 THE RICARDIAN DOCTRINE 146
3.6.1 THE RICARDIAN DOCTRINE UNDER NON-DISTORTING TAXES 146 3.6.2
FAILURE OF THE RICARDIAN DOCTRINE UNDER DISTORTING TAXES... 147 3.7
APPENDIX 149
3.7.1 APPENDIX 1 - LOG-LINEAR APPROXIMATION TO THE CONTINUOUS TIME
VERSION OF CASS-KOOPMANS MODEL 149
3.7.2 APPENDIX 2 - AN ALTERNATIVE PRESENTATION OF THE EQUIVALENCE
BETWEEN THE PLANNER S AND THE COMPETITIVE EQUILIBRIUM MECHANISMS IN AN
ECONOMY WITHOUT GOVERNMENT 150
3.8 EXERCISES 153
OPTIMAL GROWTH. DISCRETE TIME ANALYSIS 155
4.1 DISCRETE-TIME, DETERMINISTIC CASS-KOOPMANS MODEL 155 4.1.1 THE
GLOBAL CONSTRAINT OF RESOURCES 155
4.1.2 DISCRETE-TIME FORMULATION OF THE PLANNER S PROBLEM 157 4.1.3 THE
OPTIMAL STEADY-STATE 158
4.1.4 THE DYNAMICS OF THE MODEL: THE PHASE DIAGRAM 159 4.1.5
TRANSVERSALITY CONDITION IN DISCRETE TIME 161
4.1.6 COMPETITIVE EQUILIBRIUM WITH GOVERNMENT 162
4.2 FISCAL POLICY IN THE CASS-KOOPMANS MODEL 167
4.2.1 THE DETERMINISTIC CASE 167
4.2.2 NUMERICAL EXERCISE - SOLVING THE DETERMINISTIC COMPETITIVE
EQUILIBRIUM WITH TAXES 176
4.2.3 NUMERICAL EXERCISE - FISCAL POLICY EVALUATION 179 4.3 APPENDICES
185
4.3.1 A REFORMULATION OF THE STABILITY CONDITION FOR THE DETERMINISTIC
VERSION OF THE MODEL 185
IMAGE 4
XVI CONTENTS
4.3.2 THE INTERTEMPORAL GOVERNMENT BUDGET CONSTRAINT 187 4.4 APPENDIX 2:
THE RICARDIAN PROPOSITION UNDER NON-DISTORTIONARY TAXES IN DISCRETE TIME
190
4.5 EXERCISES 191
5 NUMERICAL SOLUTION METHODS 195
5.1 NUMERICAL SOLUTIONS AND SIMULATION ANALYSIS 195
5.2 ANALYTICAL SOLUTIONS TO SIMPLE GROWTH MODELS 197
5.2.1 A MODEL WITH FULL DEPRECIATION 197
5.2.2 A MODEL WITH LEISURE IN THE UTILITY FUNCTION 200
5.2.3 NUMERICAL SOLUTIONS OF THE GROWTH MODEL UNDER FULL DEPRECIATION
202
5.3 SOLVING A SIMPLE, STOCHASTIC VERSION OF THE PLANNER S PROBLEM 203
5.3.1 SOLVING THE LINEAR-QUADRATIC APPROXIMATION TO THE PLANNER S
PROBLEM 204
5.3.2 THE LOG-LINEAR APPROXIMATION TO THE MODEL 210
5.3.3 THE BLANCHARD-KAHN SOLUTION METHOD FOR THE STOCHASTIC PLANNER S
PROBLEM. LOG-LINEAR APPROXIMATION 212 5.3.4 UHLIG S UNDETERMINED
COEFFICIENTS APPROACH. LOG-LINEAR APPROXIMATION 215
5.3.5 SIMS EIGENVALUE-EIGENVECTOR DECOMPOSITION METHOD USING A LINEAR
APPROXIMATION TO THE MODEL 217
5.4 SOLVING THE STOCHASTIC REPRESENTATIVE AGENT S PROBLEM WITH TAXES 225
5.4.1 THE LOG-LINEAR APPROXIMATION 227
5.4.2 NUMERICAL EXERCISE: SOLVING THE STOCHASTIC REPRESENTATIVE AGENT S
MODEL WITH TAXES THROUGH BLANCHARD AND KAHN S APPROACH. LOG-LINEAR
APPROXIMATION 228
5.4.3 NUMERICAL EXERCISE: COMPUTING IMPULSE RESPONSES TO A TECHNOLOGY
SHOCK. LOG-LINEAR APPROXIMATION 232 5.4.4 NUMERICAL EXERCISE: SOLVING
THE STOCHASTIC REPRESENTATIVE AGENT S MODEL WITH TAXES THROUGH THE
EIGENVECTOR
AND EIGENVALUE DECOMPOSITION APPROACH. LINEAR APPROXIMATION 234
5.5 NONLINEAR NUMERICAL SOLUTION METHODS 238
5.5.1 PARAMETERIZED EXPECTATIONS 238
5.5.2 PROJECTION METHODS 241
5.6 APPENDIX - SOLVING THE PLANNER S MODEL UNDER FULL DEPRECIATION.. 251
5.7 EXERCISES 253
6 ENDOGENOUS GROWTH MODELS 257
6.1 THE AK MODEL 257
6.1.1 BALANCED GROWTH PATH 259
6.1.2 TRANSITIONAL DYNAMICS 259
6.1.3 BOUNDEDNESS OF TIME-AGGREGATE UTILITY 261
IMAGE 5
CONTENTS
6.2 THE DISCRETE TIME VERSION OF THE MODEL 262
6.2.1 THE TRANSVERSALITY CONDITION AND BOUNDED UTILITY 265 6.2.2 ABSENCE
OF TRANSITIONAL DYNAMICS: RELATIONSHIP BETWEEN THE STOCK OF PHYSICAL
CAPITAL AND CONSUMPTION . .. 266 6.3 STABILITY IN THE AK MODEL 267
6.4 EFFECTS FROM TRANSITORY CHANGES IN POLICY PARAMETERS 271 6.4.1 A
POLICY INTERVENTION 272
6.4.2 A COMPARISON WITH THE CASS-KOOPMANS ECONOMY 273 6.5 DYNAMIC LAFFER
CURVES 275
6.5.1 NUMERICAL EXERCISE ON DYNAMIC LAFFER CURVES 278 6.6 SOLVING THE
STOCHASTIC, DISCRETE TIME VERSION OF THE AK MODEL 280 6.6.1 A LINEAR
APPROXIMATION TO THE STOCHASTIC AK MODEL 282 6.6.2 NUMERICAL EXERCISE:
SOLVING THE STOCHASTIC AK MODEL 285
6.7 AN ENDOGENOUS GROWTH MODEL WITH PRODUCTIVE PUBLIC EXPENDITURES:
BARRO S MODEL 286
6.8 TRANSITIONAL DYNAMICS IN ENDOGENOUS GROWTH: THE JONES AND MANUELLI
MODEL 288
6.8.1 STEADY-STATE 290
6.8.2 SOLVING THE DETERMINISTIC VERSION OF JONES AND MANUELLI S MODEL
THROUGH A LINEAR APPROXIMATION 291
6.9 THE STOCHASTIC VERSION OF JONES AND MANUELLI MODEL 294 6.9.1
DETERMINISTIC BALANCED GROWTH PATH 295
6.9.2 TRANSFORMING THE MODEL IN STATIONARY RATIOS 295 6.9.3 THE PHASE
DIAGRAM OF THE DETERMINISTIC VERSION OF THE JONES-MANUELLI MODEL:
TRANSITIONAL DYNAMICS 296 6.9.4 COMPUTING THE DYNAMICS: LOG-LINEAR
APPROXIMATION 298 6.9.5 NUMERICAL EXERCISE: SOLVING THE JONES
AND MANUELLI MODEL 301
6.9.6 THE STOCHASTIC AK MODEL AS A SPECIAL CASE 301
6.10 EXERCISES 302
ADDITIONAL ENDOGENOUS GROWTH MODELS 305
7.1 INTRODUCTION 305
7.2 A VARIETY OF PRODUCER PRODUCTS 306
7.2.1 THE ECONOMY 306
7.2.2 THE INEFFICIENCY OF THE EQUILIBRIUM ALLOCATION 314 7.2.3 A
STOCHASTIC VERSION OF THE ECONOMY WITH A VARIETY OF INTERMEDIATE GOODS
316
7.3 TECHNOLOGICAL DIFFUSION AND GROWTH 323
7.3.1 THE PROBLEM OF THE FOLLOWER COUNTRY 324
7.3.2 DETERMINISTIC STEADY-STATE 326
7.3.3 COMPUTING THE NUMERICAL SOLUTION BY LOG-LINEAR APPROXIMATIONS AND
NUMERICAL DERIVATIVES 328
IMAGE 6
I CONTENTS
7.3.4 NUMERICAL EXERCISE: SOLVING THE MODEL WITH VARIETIES OF
INTERMEDIATE GOODS, AND THE DIFFUSION GROWTH MODEL . .. 332 7.4
SCHUMPETERIAN GROWTH 333
7.4.1 THE ECONOMY 334
7.4.2 COMPUTING EQUILIBRIUM TRAJECTORIES 338
7.4.3 DETERMINISTIC STEADY-STATE 341
7.5 ENDOGENOUS GROWTH WITH ACCUMULATION OF HUMAN CAPITAL 342 7.5.1 THE
ECONOMY 343
7.5.2 THE COMPETITIVE EQUILIBRIUM 347
7.5.3 ANALYZING THE DETERMINISTIC STEADY-STATE 349
7.5.4 NUMERICAL EXERCISE: STEADY-STATE EFFECTS OF FISCAL POLICY .. 352
7.5.5 COMPUTING EQUILIBRIUM TRAJECTORIES IN A STOCHASTIC SETUP UNDER THE
ASSUMPTION OF RATIONAL EXPECTATIONS 353 7.5.6 INDETERMINACY OF
EQUILIBRIA 363
7.5.7 NUMERICAL EXERCISE: THE CORRELATION BETWEEN PRODUCTIVITY AND HOURS
WORKED IN THE HUMAN CAPITAL ACCUMULATION MODEL 374
7.6 EXERCISES 376
GROWTH IN MONETARY ECONOMIES: STEADY-STATE ANALYSIS OF MONETARY POLICY
377
8.1 INTRODUCTION 377
8.2 OPTIMAL GROWTH IN A MONETARY ECONOMY: THE SIDRAUSKI MODEL 378 8.2.1
THE REPRESENTATIVE AGENT S PROBLEM 380
8.2.2 STEADY-STATE IN THE MONETARY GROWTH ECONOMY 384 8.2.3 GOLDEN RULE
387
8.3 STEADY-STATE POLICY ANALYSIS 388
8.3.1 OPTIMAL STEADY-STATE RATE OF INFLATION 389
8.3.2 THE WELFARE COST OF INFLATION 392
8.4 TWO MODELLING ISSUES: NOMINAL BONDS AND THE TIMING OF REAL BALANCES
394
8.4.1 NOMINAL BONDS: THE RELATIONSHIP BETWEEN REAL AND NOMINAL INTEREST
RATES 395
8.4.2 REAL BALANCES IN THE UTILITY FUNCTION: AT THE BEGINNING OR AT THE
END OF THE PERIOD? 397
8.4.3 NUMERICAL EXERCISE: OPTIMAL RATE OF INFLATION UNDER ALTERNATIVE
ASSUMPTIONS ON PREFERENCES 400 8.5 MONETARY POLICY ANALYSIS UNDER
CONSUMPTION AND INCOME TAXES .. 401 8.5.1 STEADY-STATE 403
8.5.2 NUMERICAL EXERCISE: COMPUTATION OF STEADY-STATE LEVELS UNDER
ALTERNATIVE POLICY CHOICES 405
8.6 MONETARY POLICY UNDER ENDOGENOUS LABOR SUPPLY 406
8.6.1 THE NEUTRALITY OF MONETARY POLICY UNDER ENDOGENOUS LABOR SUPPLY
406
8.6.2 NUMERICAL EXERCISE: EVALUATION OF STEADY-STATE POLICIES WITH AN
ENDOGENOUS LABOUR SUPPLY 411
IMAGE 7
CONTENTS XIX
8.7 OPTIMAL MONETARY POLICY UNDER DISTORTIONARY TAXATION AND ENDOGENOUS
LABOR 413
8.7.1 THE MODEL 414
8.7.2 IMPLEMENTABILITY CONDITION 417
8.7.3 THE RAMSEY PROBLEM 418
8.8 EXERCISES 419
9 TRANSITIONAL DYNAMICS IN MONETARY ECONOMIES: NUMERICAL SOLUTIONS 423
9.1 INTRODUCTION 423
9.2 STABILITY OF PUBLIC DEBT 424
9.3 ALTERNATIVE STRATEGIES FOR MONETARY POLICY: CONTROL OF NOMINAL RATES
VS. MONEY GROWTH CONTROL 426
9.4 DETERMINISTIC MONETARY MODEL WITH THE MONETARY AUTHORITY CHOOSING
MONEY GROWTH 427
9.4.1 STEADY-STATE 429
9.4.2 SOLUTION THROUGH A LOG-LINEAR APPROXIMATION 430 9.4.3 COMPLEX
EIGENVALUES 433
9.5 DETERMINISTIC MONETARY MODEL WITH THE MONETARY AUTHORITY CHOOSING
NOMINAL INTEREST RATES 437
9.6 TRANSITIONAL EFFECTS OF POLICY INTERVENTIONS 441
9.6.1 SOLVING THE MODEL WITH NOMINAL INTEREST RATES AS CONTROL VARIABLE,
USING A LINEAR APPROXIMATION 442
9.6.2 NUMERICAL EXERCISE: CHANGES IN NOMINAL INTEREST RATES 444 9.6.3
SOLVING THE MODEL WITH MONEY GROWTH AS CONTROL VARIABLE, USING A LINEAR
APPROXIMATION 445
9.6.4 NUMERICAL EXERCISE: GRADUAL VS. DRASTIC CHANGES IN MONEY GROWTH
448
9.7 THE STOCHASTIC VERSION OF THE MONETARY MODEL 450
9.7.1 THE MONETARY AUTHORITY CHOOSES NOMINAL INTEREST RATES .. 452 9.7.2
THE MONETARY AUTHORITY CHOOSES MONEY SUPPLY GROWTH... 463 9.8 A NEW
KEYNESIAN MONETARY MODEL 469
9.8.1 A MODEL WITHOUT CAPITAL ACCUMULATION: IRELAND S (2004) .. 470
9.8.2 A NEW KEYNESIAN MONETARY MODEL WITH CAPITAL ACCUMULATION 477
9.9 APPENDIX: IN A LOG-LINEAR APPROXIMATION, E T FT T+ - I, - R, 491
9.10 EXERCISES 492
10 MATHEMATICAL APPENDIX 495
10.1 THE DETERMINISTIC CONTROL PROBLEM IN CONTINUOUS TIME 495 10.1.1
TRANSVERSALITY CONDITION 496
10.1.2 THE DISCOUNTED PROBLEM 496
10.1.3 CALCULUS OF VARIATIONS 498
10.2 THE DETERMINISTIC CONTROL PROBLEM IN DISCRETE TIME 499 10.3 FIRST
ORDER DIFFERENTIAL EQUATIONS 501
IMAGE 8
XX CONTENTS
10.3.1 1. FIRST ORDER DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS
501
10.3.2 2. FIRST ORDER DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS
504
10.4 MATRIX ALGEBRA 506
10.4.1 THE 2 X 2 CASE 508
10.4.2 SYSTEMS WITH A SADDLE PATH PROPERTY 510
10.4.3 IMPOSING STABILITY CONDITIONS OVERTIME 510
10.5 SOME NOTES ON COMPLEX NUMBERS 513
10.6 SOLVING A DYNAMIC TWO-EQUATION SYSTEM WITH COMPLEX ROOTS . . .. 514
REFERENCES 517
INDEX 521
|
| any_adam_object | 1 |
| author | Novales, Alfonso 1952- Fernández, Esther Ruíz, Jesús |
| author_GND | (DE-588)136495370 (DE-588)136495680 (DE-588)136415067 |
| author_facet | Novales, Alfonso 1952- Fernández, Esther Ruíz, Jesús |
| author_role | aut aut aut |
| author_sort | Novales, Alfonso 1952- |
| author_variant | a n an e f ef j r jr |
| building | Verbundindex |
| bvnumber | BV037421308 |
| classification_rvk | QC 340 |
| ctrlnum | (OCoLC)631692099 (DE-599)BVBBV037421308 |
| dewey-full | 338.9001 |
| dewey-hundreds | 300 - Social sciences |
| dewey-ones | 338 - Production |
| dewey-raw | 338.9001 |
| dewey-search | 338.9001 |
| dewey-sort | 3338.9001 |
| dewey-tens | 330 - Economics |
| discipline | Wirtschaftswissenschaften |
| edition | 1. softcover print. |
| format | Book |
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| id | DE-604.BV037421308 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T23:23:59Z |
| institution | BVB |
| isbn | 9783540686651 9783642111327 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-022573567 |
| oclc_num | 631692099 |
| open_access_boolean | |
| owner | DE-188 DE-20 DE-19 DE-BY-UBM DE-92 DE-29T DE-M382 |
| owner_facet | DE-188 DE-20 DE-19 DE-BY-UBM DE-92 DE-29T DE-M382 |
| physical | XX, 528 S. 19 schw.-w. Ill. |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Springer Berlin |
| record_format | marc |
| spelling | Novales, Alfonso 1952- Verfasser (DE-588)136495370 aut Economic growth theory and numerical solution methods Alfonso Novales ; Esther Fernández ; Jesús Ruíz 1. softcover print. Berlin [u.a.] Springer Berlin 2010 XX, 528 S. 19 schw.-w. Ill. txt rdacontent n rdamedia nc rdacarrier Numerisches Modell (DE-588)4338132-7 gnd rswk-swf Monetäre Wachstumstheorie (DE-588)4724050-7 gnd rswk-swf Allgemeines Gleichgewichtsmodell (DE-588)4210294-7 gnd rswk-swf Wachstumstheorie (DE-588)4128160-3 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Wachstumstheorie (DE-588)4128160-3 s Allgemeines Gleichgewichtsmodell (DE-588)4210294-7 s Numerisches Verfahren (DE-588)4128130-5 s DE-604 Monetäre Wachstumstheorie (DE-588)4724050-7 s Numerisches Modell (DE-588)4338132-7 s 1\p DE-604 2\p DE-604 Fernández, Esther Verfasser (DE-588)136495680 aut Ruíz, Jesús Verfasser (DE-588)136415067 aut Erscheint auch als Online-Ausgabe 978-3-540-68669-9 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=022573567&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 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Novales, Alfonso 1952- Fernández, Esther Ruíz, Jesús Economic growth theory and numerical solution methods Numerisches Modell (DE-588)4338132-7 gnd Monetäre Wachstumstheorie (DE-588)4724050-7 gnd Allgemeines Gleichgewichtsmodell (DE-588)4210294-7 gnd Wachstumstheorie (DE-588)4128160-3 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| subject_GND | (DE-588)4338132-7 (DE-588)4724050-7 (DE-588)4210294-7 (DE-588)4128160-3 (DE-588)4128130-5 |
| title | Economic growth theory and numerical solution methods |
| title_auth | Economic growth theory and numerical solution methods |
| title_exact_search | Economic growth theory and numerical solution methods |
| title_full | Economic growth theory and numerical solution methods Alfonso Novales ; Esther Fernández ; Jesús Ruíz |
| title_fullStr | Economic growth theory and numerical solution methods Alfonso Novales ; Esther Fernández ; Jesús Ruíz |
| title_full_unstemmed | Economic growth theory and numerical solution methods Alfonso Novales ; Esther Fernández ; Jesús Ruíz |
| title_short | Economic growth |
| title_sort | economic growth theory and numerical solution methods |
| title_sub | theory and numerical solution methods |
| topic | Numerisches Modell (DE-588)4338132-7 gnd Monetäre Wachstumstheorie (DE-588)4724050-7 gnd Allgemeines Gleichgewichtsmodell (DE-588)4210294-7 gnd Wachstumstheorie (DE-588)4128160-3 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| topic_facet | Numerisches Modell Monetäre Wachstumstheorie Allgemeines Gleichgewichtsmodell Wachstumstheorie Numerisches Verfahren |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=022573567&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT novalesalfonso economicgrowththeoryandnumericalsolutionmethods AT fernandezesther economicgrowththeoryandnumericalsolutionmethods AT ruizjesus economicgrowththeoryandnumericalsolutionmethods |