Economic dynamics:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Buch |
| Sprache: | English |
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Heidelberg [u.a.]
Springer
2009
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| Ausgabe: | 4. ed. |
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| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | Literaturangaben |
| Beschreibung: | XXV, 749 S. graf. Darst. 24 cm |
| ISBN: | 9783642038624 |
Internformat
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Datensatz im Suchindex
| _version_ | 1805093256029011968 |
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CONTENTS PREFACE VII INTRODUCTION 1 1.1 DEFINITION 1 1.2 FUNCTIONAL
EQUATIONS 2 1.3 ECONOMIC DYNAMICS: PAST AND FUTURE 3 1.4 REFERENCES 5
LINEAR DIFFERENCE EQUATIONS 7 DIFFERENCE EQUATIONS: GENERAL PRINCIPLES 9
2.1 DEFINITIONS 9 2.2 LINEAR DIFFERENCE EQUATIONS WITH CONSTANT
COEFFICIENTS 11 2.2.1 THE HOMOGENEOUS EQUATION 12 2.2.2 THE
NON-HOMOGENEOUS EQUATION 14 2.3 DETERMINATION OF THE ARBITRARY CONSTANTS
15 2.4 REFERENCES 16 FIRST-ORDER DIFFERENCE EQUATIONS 19 3.1 SOLUTION OF
THE HOMOGENEOUS EQUATION 19 3.2 PARTICULAR SOLUTION OF THE
NON-HOMOGENEOUS EQUATION 23 3.2.1 G(T) IS A CONSTANT 23 3.2.2 G(T) IS AN
EXPONENTIAL FUNCTION 24 3.2.3 G(T) IS A POLYNOMIAL FUNCTION OF DEGREE M
25 3.2.4 G(T) IS A TRIGONOMETRIC FUNCTION OF THE SINE-COSINE TYPE . 25
3.2.5 G(T) IS A COMBINATION OF THE PREVIOUS FUNCTIONS 26 3.2.6 THE CASE
WHEN G(T ) IS A GENERIC FUNCTION OF TIME. BACK- WARD AND FORWARD
SOLUTIONS 26 3.3 GENERAL SOLUTION OF THE NON-HOMOGENEOUS EQUATION 29 3.4
A DIGRESSION ON DISTRIBUTED LAGS AND PARTIAL ADJUSTMENT EQUA- TION
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/995338779 DIGITALISIERT
DURCH XII CONTENTS 3.6 REFERENCES 35 4 FIRST-ORDER DIFFERENCE EQUATIONS
IN ECONOMIC MODELS 37 4.1 THE COBWEB THEOREM 37 4.1.1 THE COBWEB MODEL
AND EXPECTATIONS 40 4.1.1.1 THE NORMAL PRICE 41 4.1.1.2 ADAPTIVE
EXPECTATIONS 42 4.2 THE DYNAMICS OF MULTIPLIERS 45 4.2.1 THE BASIC CASE
45 4.2.2 OTHER MULTIPLIERS 47 4.2.2.1 A FOREIGN TRADE MULTIPLIER 48
4.2.2.2 TAXATION 49 4.3 EXERCISES 50 4.4 REFERENCES 53 5 SECOND-ORDER
DIFFERENCE EQUATIONS 55 5.1 SOLUTION OF THE HOMOGENEOUS EQUATION 55
5.1.1 POSITIVE DISCRIMINANT (A 0) 56 5.1.2 NULL DISCRIMINANT (A = 0)
57 5.1.3 NEGATIVE DISCRIMINANT (A 0) 58 5.1.4 STABILITY CONDITIONS 60
5.2 SOLUTION OF THE NON-HOMOGENEOUS EQUATION 62 5.2.1 THE OPERATIONAL
METHOD 63 5.3 DETERMINATION OF THE ARBITRARY CONSTANTS 65 5.4 EXERCISES
67 5.4.1 EXAMPLE 67 5.4.2 OTHER EXERCISES 70 5.5 REFERENCES 71 6
SECOND-ORDER DIFFERENCE EQUATIONS IN ECONOMIC MODELS 73 6.1
MULTIPLIER-ACCELERATOR INTERACTION: THE PROTOTYPE MODEL (HANSEN-
SAMUELSON) 73 6.1.1 GRAPHICAL LOCATION OF THE ROOTS 75 6.2 MARKET
ADJUSTMENTS AND RATIONAL EXPECTATIONS 77 6.3 HICKS' TRADE CYCLE MODEL 78
6.3.1 THE WORKINGS OF THE MODEL 83 6.4 EXERCISES 88 6.5 REFERENCES 90 7
HIGHER-ORDER DIFFERENCE EQUATIONS 93 7. CONTENTS XIII 7.4 STABILITY
CONDITIONS 97 7.4.1 NECESSARY AND SUFFICIENT STABILITY CONDITIONS
(SAMUELSON'S FORM) 98 7.4.2 NECESSARY AND SUFFICIENT STABILITY
CONDITIONS (SCHUR-COHN FORM) 99 7.5 EXERCISES 102 7.5.1 EXAMPLE 102
7.5.2 OTHER EXERCISES 103 7.6 REFERENCES 103 8 HIGHER-ORDER DIFFERENCE
EQUATIONS IN ECONOMIC MODELS 105 8.1 INVENTORY CYCLES (METZLER) 105 8.2
DISTRIBUTED LAGS AND INTERACTION BETWEEN THE MULTIPLIER AND THE
ACCELERATOR (HICKS) 108 8.3 EXERCISES 110 8.4 REFERENCES 112 9
SIMULTANEOUS SYSTEMS OF DIFFERENCE EQUATIONS 113 9.1 FIRST-ORDER 2X2
SYSTEMS IN NORMAL FORM 113 9.1.1 GENERAL SOLUTION OF THE HOMOGENEOUS
SYSTEM: FIRST METHOD 113 9.1.2 GENERAL SOLUTION OF THE HOMOGENEOUS
SYSTEM: SECOND (OR DIRECT) METHOD 116 9.1.2.1 UNEQUAL REAL ROOTS 116
9.1.2.2 EQUAL REAL ROOTS 118 9.1.2.3 COMPLEX ROOTS 119 9.1.3 PARTICULAR
SOLUTION. DETERMINATION OF THE ARBITRARY CONSTANTS 120 9.2 FIRST ORDER
NXN SYSTEMS IN NORMAL FORM 121 9.2.1 DIRECT MATRIX SOLUTION. THE JORDAN
CANONICAL FORM . . 124 9.2.2 STABILITY CONDITIONS 127 9.2.2.1 A
DIGRESSION ON NOT-WHOLLY-UNSTABLE SYSTEMS . 130 9.2.2.2 PROOF OF THE
STABILITY CONDITIONS 132 9.2.3 PARTICULAR SOLUTION 134 9.2.3.1 THE
OPERATIONAL METHOD 134 9.2.4 DETERMINATION OF THE ARBITRARY CONSTANTS
137 9.3 GENERAL SYSTEMS 138 9.3.1 FIRST-ORDER SYSTEMS NOT IN NORMAL FORM
138 9.3. XIV CONTENTS 9.4 EXERCISES 145 9.4.1 EXAMPLE 145 9.4.2 OTHER
EXERCISES 145 9.5 REFERENCES 146 10 SIMULTANEOUS DIFFERENCE SYSTEMS IN
ECONOMIC MODELS 149 10.1 COURNOT OLIGOPOLY 149 10.2 MULTIPLIER EFFECTS
IN AN OPEN ECONOMY 152 10.3 OLIGOPOLY AND INTERNATIONAL TRADE 155 10.3.1
THE EQUILIBRIUM SOLUTION 156 10.3.2 STABILITY 158 10.4 EXERCISES 159
10.5 REFERENCES 160 11 LINEAR DIFFERENTIAL EQUATIONS 161 11 DIFFERENTIAL
EQUATIONS: GENERAL PRINCIPLES 163 11.1 DEFINITIONS 163 11.2 LINEAR
DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS 164 11.2.1 THE
HOMOGENEOUS EQUATION 165 11.2.2 THE NON-HOMOGENEOUS EQUATION 166 11.3
DETERMINATION OF THE ARBITRARY CONSTANTS 168 11.4 REFERENCES 170 12
FIRST-ORDER DIFFERENTIAL EQUATIONS 171 12.1 SOLUTION OF THE HOMOGENEOUS
EQUATION 171 12.2 PARTICULAR SOLUTION OF THE NON-HOMEGENEOUS EQUATION
174 12.2.1 G(T) IS A CONSTANT 174 12.2.2 G(T) IS AN EXPONENTIAL FUNCTION
175 12.2.3 G{T) IS A POLYNOMIAL FUNCTION OF DEGREE M 175 12.2.4 G(T) IS
A TRIGONOMETRIC FUNCTION OF THE SINE-COSINE TYPE . 176 12.2. CONTENTS XV
13 FIRST-ORDER DIFFERENTIAL EQUATIONS IN ECONOMIC MODELS 185 13.1
STABILITY OF SUPPLY AND DEMAND EQUILIBRIUM 185 13.2 THE NEOCLASSICAL
GROWTH MODEL 191 13.2.1 EXISTENCE OF A GROWTH EQUILIBRIUM 192 13.2.2
STABILITY OF GROWTH EQUILIBRIUM 194 13.2.3 REFINEMENTS 197 13.2.3.1
DEPRECIATION AND TECHNICAL PROGRESS 197 13.2.3.2 GOLDEN RULE 199 13.2.4
FURTHER DEVELOPMENTS 200 13.2.4.1 ADJUSTMENT TIME OR, HOW LONG IS THE
LONG RUN? 200 13.2.4.2 /3-CONVERGENCE, CR-CONVERGENCE, AND ALL THAT . .
203 13.2.4.3 ENDOGENOUS GROWTH 205 13.3 EXERCISES 205 13.4 REFERENCES
208 14 SECOND-ORDER DIFFERENTIAL EQUATIONS 209 14.1 SOLUTION OF THE
HOMOGENEOUS EQUATION 209 14.1.1 POSITIVE DISCRIMINANT (A 0) 210 14.1.2
NULL DISCRIMINANT (A = 0) 211 14.1.3 NEGATIVE DISCRIMINANT (A 0) 212
14.1.4 STABILITY CONDITIONS 214 14.2 PARTICULAR SOLUTION OF THE
NON-HOMOGENEOUS EQUATION 215 14.2.1 VARIATION OF PARAMETERS 216 14.3
GENERAL SOLUTION OF THE NON-HOMOGENEOUS EQUATION 218 14.4 DETERMINATION
OF THE ARBITRARY CONSTANTS 219 14.5 EXERCISES 219 14.5.1 EXAMPLES 219
14.5.2 OTHER EXERCISES 221 14.6 REFERENCES 221 15 SECOND-ORDER
DIFFERENTIAL EQUATIONS IN ECONOMIC MODELS 223 15.1 THE SECOND-ORDER
ACCELERATOR 223 15.2 EXERCISES 226 15.3 REFERENCES 228 16 HIGHER-ORDER
DIFFERENTIAL EQUATIONS 229 16. XVI CONTENTS 16.4.2 NECESSARY AND
SUFFICIENT STABILITY CONDITIONS (LIENARD-CHIPART) 240 16.5 EXERCISES 241
16.5.1 EXAMPLE 241 16.5.2 OTHER EXERCISES 242 16.6 REFERENCES 242 17
HIGHER-ORDER DIFFERENTIAL EQUATIONS IN ECONOMIC MODELS 243 17.1 FEEDBACK
CONTROL AND STABILISATION POLICIES 243 17.1.1 INTRODUCTION 243 17.1.2
THREE TYPES OF STABILISATION POLICY 244 17.1.2.1 PROPORTIONAL
STABILISATION POLICY 247 17.1.2.2 MIXED PROPORTIONAL-DERIVATIVE
STABILISATION POL- ICY 248 17.1.2.3 INTEGRAL STABILISATION POLICY 249
17.2 EXERCISES 250 17.3 REFERENCES 251 18 SIMULTANEOUS SYSTEMS OF
DIFFERENTIAL EQUATIONS 253 18.1 FIRST-ORDER 2X2 SYSTEMS IN NORMAL FORM
253 18.1.1 GENERAL SOLUTION OF THE HOMOGENEOUS SYSTEM: FIRST METHOD 254
18.1.2 GENERAL SOLUTION OF THE HOMOGENEOUS SYSTEM: SECOND (OR DIRECT)
METHOD 256 18.1.2.1 UNEQUAL REAL ROOTS 257 18.1.2.2 EQUAL REAL ROOTS 259
18.1.2.3 COMPLEX ROOTS 260 18.1.3 PARTICULAR SOLUTION. DETERMINATION OF
THE ARBITRARY CONSTANTS 261 18.2 FIRST ORDER NXN SYSTEMS IN NORMAL FORM
261 18.2.1 SOLUTION OF THE HOMOGENEOUS SYSTEM 263 18.2.1.1 THE MATRIX
EXPONENTIAL AND THE JORDAN CANON- ICAL FORM 265 18.2.2 STABILITY
CONDITIONS 269 18.2.2.1 D-STABILITY, AND STABILISATION OF MATRICES . .
.272 18.2.2.2 SENSITIVITY ANALYSIS 274 18.2.2. CONTENTS XVII 18.3.2.1 AN
EXAMPLE 287 18.3.2.2 THE GENERAL CASE 288 18.3.2.3 TRANSFORMATION OF A
HIGHER-ORDER SYSTEM INTO A FIRST-ORDER SYSTEM IN NORMAL FORM 289
18.3.2.4 STABILITY CONDITIONS FOR HIGHER-ORDER SYSTEMS . 292 18.4
EXERCISES 292 18.4.1 EXAMPLE 292 18.4.2 OTHER EXERCISES 294 18.5
REFERENCES 295 19 DIFFERENTIAL EQUATION SYSTEMS IN ECONOMIC MODELS 297
19.1 STABILITY OF WALRASIAN GENERAL EQUILIBRIUM OF EXCHANGE 297 19.1.1
STATIC STABILITY 299 19.1.2 DYNAMIC STABILITY 301 19.2 HUMAN CAPITAL IN
A GROWTH MODEL 304 19.3 A DIGRESSION ON 'ARROW DIAGRAMS' 309 19.4
BALANCED GROWTH IN A MULTI-SECTOR ECONOMY 311 19.5 EXERCISES 316 19.6
REFERENCES 319 III ADVANCED TOPICS 323 20 COMPARATIVE STATICS AND THE
CORRESPONDENCE PRINCIPLE 325 20.1 INTRODUCTION 325 20.2 THE METHOD OF
COMPARATIVE STATICS 326 20.2.1 PURELY QUALITATIVELY COMPARATIVE STATICS
330 20.2.2 THE INVERSE COMPARATIVE STATICS PROBLEM 330 20.3 COMPARATIVE
STATICS AND OPTIMIZING BEHAVIOUR 331 20.4 COMPARATIVE STATICS AND THE
DYNAMIC STABILITY OF EQUILIBRIUM . 334 20.4.1 CRITICISM AND
QUALIFICATIONS 336 20.5 EXTREMA AND DYNAMIC STABILITY 338 20.5.1 AN
APPLICATION TO THE THEORY OF THE FIRM 343 20.6 ELEMENTS OF COMPARATIVE
DYNAMICS 344 20.7 AN ILLUSTRATIVE APPLICATION OF THE CORRESPONDENCE
PRINCIPLE: THE IS-LM MODEL 345 20. XVIII CONTENTS 21.2.3 STRUCTURAL
STABILITY 359 21.3 QUALITATIVE METHODS: PHASE DIAGRAMS 363 21.3.1 SINGLE
EQUATIONS 364 21.3.2 TWO-EQUATION SIMULTANEOUS SYSTEMS 368 21.3.2.1
INTRODUCTION: PHASE PLANE AND PHASE PATH . . 368 21.3.2.2 SINGULAR
POINTS 369 21.3.2.3 GRAPHICAL CONSTRUCTION OF THE TRAJECTORIES . .372
21.3.2.4 LINEAR SYSTEMS 378 21.4 QUANTITATIVE METHODS 382 21.4.1
LINEARISATION 382 21.5 ELEMENTS OF THE QUALITATIVE THEORY OF DIFFERENCE
EQUATIONS . . .387 21.5.1 SINGLE DIFFERENCE EQUATIONS 388 21.5.2 TWO
SIMULTANEOUS DIFFERENCE EQUATIONS 393 21.5.2.1 LINEAR SYSTEMS 394 21.6
ECONOMIC APPLICATIONS 396 21.7 EXERCISES 396 21.8 REFERENCES 398 22
LIAPUNOV'S SECOND METHOD 401 22.1 GENERAL CONCEPTS 401 22.2 THE
FUNDAMENTAL THEOREMS 402 22.3 SOME ECONOMIC APPLICATIONS 407 22.3.1
GLOBAL STABILITY OF WALRASIAN GENERAL EQUILIBRIUM . . . .407 22.3.2
RULES OF THUMB IN BUSINESS MANAGEMENT 414 22.3.3 PRICE ADJUSTMENT AND
OLIGOPOLY UNDER PRODUCT DIFFER- ENTIATION 415 22.4 EXERCISES 419 22.5
REFERENCES 420 23 INTRODUCTION TO NONLINEAR DYNAMICS 423 23.1
PRELIMINARY REMARKS 423 23.1.1 A DIGRESSION ON EXISTENCE AND UNIQUENESS
THEOREMS . . 425 23.2 SOME INTEGRABLE DIFFERENTIAL EQUATIONS 426 23.2.1
FIRST-ORDER AND FIRST-DEGREE EXACT EQUATIONS 426 23.2.2 LINEAR EQUATIONS
OF THE FIRST ORDER WITH VARIABLE COEFFI- CIENT CONTENTS XIX 23.3.3.3
KALDOR VIA POINCARE'S LIMIT CYCLE 446 23.4 THE LOTKA-VOLTERRA EQUATIONS
448 23.4.1 CONSTRUCTION OF THE INTEGRAL CURVES 453 23.4.2 CONSERVATIVE
AND DISSIPATIVE SYSTEMS, AND IRREVERSIBILITY 455 23.4.3 GOODWIN'S GROWTH
CYCLE 457 23.4.3.1 THE MODEL 457 23.4.3.2 THE PHASE DIAGRAM OF THE MODEL
460 23.4.4 PALOMBA'S MODEL 463 23.4.4.1 THE MODEL 463 23.4.4.2
CONCLUSION 466 23.5 EXERCISES 466 23.6 REFERENCES 469 24 BIFURCATION
THEORY 473 24.1 INTRODUCTION 473 24.2 BIFURCATIONS IN CONTINUOUS TIME
SYSTEMS 473 24.2.1 CODIMENSION-ONE BIFURCATIONS 475 24.2.2 THE HOPF
BIFURCATION 479 24.2.3 SENSITIVITY ANALYSIS AND BIFURCATIONS: A REMINDER
. . . . 484 24.2.4 KALDOR'S NON-LINEAR CYCLICAL MODEL AGAIN 485 24.2.5
OSCILLATIONS IN OPTIMAL GROWTH MODELS 486 24.2.5.1 THE MODEL 486
24.2.5.2 THE OPTIMALITY CONDITIONS 488 24.2.5.3 EMERGENCE OF A HOPF
BIFURCATION 489 24.2.6 CYCLES IN AN IS-LM MODEL WITH PURE MONEY
FINANCING . 491 24.3 BIFURCATIONS IN DISCRETE TIME SYSTEMS 493 24.3.1
CODIMENSION-ONE BIFURCATIONS 494 24.3.2 THE HOPF (OR NEIMARK-SACKER)
BIFURCATION IN DISCRETE TIME 496 24.3.3 KALDOR'S CYCLICAL MODEL IN
DISCRETE TIME 498 24.3.4 LIQUIDITY COSTS IN THE FIRM 499 24.3.4.1 THE
MODEL 499 24.3.4.2 THE DYNAMICS 502 24.3. XX CONTENTS 25 COMPLEX
DYNAMICS 519 25.1 INTRODUCTION 519 25.2 DISCRETE TIME SYSTEMS AND CHAOS
522 25.2.1 THE LOGISTIC MAP 522 25.2.2 INTERMITTENCY 528 25.2.3 THE
BASIC THEOREMS 529 25.2.4 DISCRETE TIME CHAOS IN ECONOMICS 531 25.2.4.1
CHAOS IN GROWTH THEORY 531 25.2.4.2 EXCHANGE RATE DYNAMICS AND CHAOS 533
25.3 CONTINUOUS TIME SYSTEMS AND CHAOS 535 25.3.1 THE LORENZ EQUATIONS,
STRANGE ATTRACTORS, AND CHAOS . . 535 25.3.2 OTHER ROUTES TO CONTINUOUS
TIME CHAOS 537 25.3.2.1 THE ROESSLER ATTRACTOR 537 25.3.2.2 THE
SHIL'NIKOV SCENARIO 538 25.3.2.3 THE FORCED OSCILLATOR 538 25.3.2.4 THE
COUPLED OSCILLATOR 539 25.3.3 INTERNATIONAL TRADE AS THE SOURCE OF CHAOS
542 25.3.4 A CHAOTIC GROWTH CYCLE 544 25.4 SIGNIFICANCE AND DETECTION OF
CHAOS: STOCHASTIC DYNAMICS OR CHAOS? 545 25.5 CONTROL OF CHAOS 549 25.6
OTHER APPROACHES 552 25.6.1 INTRODUCTION 552 25.6.2 FAST AND SLOW, AND
SYNERGETICS 552 25.6.3 CATASTROPHE THEORY 556 25.7 EXERCISES 558 25.8
REFERENCES 560 26 MIXED DIFFERENTIAL-DIFFERENCE EQUATIONS 567 26.1
GENERAL CONCEPTS 567 26.2 CONTINUOUS VS DISCRETE TIME IN ECONOMIC MODELS
568 26.3 LINEAR MIXED EQUATIONS 573 26.4 THE METHOD OF SOLUTION 574 26.5
STABILITY CONDITIONS 579 26.6 APPROXIMATE METHODS 580 26.7 DELAY
DIFFERENTIAL EQUATIONS AND CHAOS 581 26. CONTENTS XXI 26.9 EXERCISES 593
26.10REFERENCES 594 27 DYNAMIC OPTIMIZATION 597 27.1 INTRODUCTION 597
27.2 CALCULUS OF VARIATIONS 599 27.2.1 PARTICULAR CASES 601 27.2.2
GENERALIZATIONS 603 27.3 THE MAXIMUM PRINCIPLE 604 27.3.1 STATEMENT 604
27.3.2 PROOF 606 27.3.3 TRANSVERSALITY CONDITIONS 610 27.3.3.1 THE CASE
WITH INFINITE TERMINAL TIME 611 27.3.4 . EFFECTS OF PARAMETER CHANGES ON
THE OPTIMAL SOLUTION: THE COSTATE VARIABLES 612 27.3.5 DISCOUNTING 614
27.3.6 PARTICULAR CASES 615 27.3.6.1 THE BANG-BANG CONTROL CASE 615
27.3.6.2 LINEAR-QUADRATIC PROBLEMS 616 27.3.7 THE MAXIMUM PRINCIPLE IN
DISCRETE TIME 618 27.4 DYNAMIC PROGRAMMING 619 27A.I DYNAMIC PROGRAMMING
IN DISCRETE TIME: MULTI-STAGE OPTIMIZATION PROBLEMS 622 27.4.2 DYNAMIC
PROGRAMMING AND NONLINEAR PROGRAMMING . . 626 27.4.3 INFINITE TERMINAL
TIME 627 27.4.3.1 SOLUTION BY CONJECTURE 628 27.4.3.2 SOLUTION BY
ITERATION 632 27.4.3.3 SOLUTION BY THE ENVELOPE THEOREM 633 27.5 MAXIMUM
PRINCIPLE VS. DYNAMIC PROGRAMMING 637 27.6 EXERCISES 639 27.7 REFERENCES
641 28 SADDLE POINTS AND ECONOMIC DYNAMICS 643 28.1 SADDLE POINTS IN
OPTIMAL CONTROL PROBLEMS 644 28.2 OPTIMAL ECONOMIC GROWTH 644 28.2.1
OPTIMAL GROWTH: TRADITIONAL 644 28.2.1.1 THE SETTING OF THE PROBLEM 644
28.2.1. INDEX 731 XXII CONTENTS 28.2.2 OPTIMAL GROWTH: ENDOGENOUS
28.2.2.1 A MODEL OF OPTIMAL ENDOGENOUS GROWTH . . . .050 28.2.2.2 THE
CONDITIONS FOR OPTIMAL ENDOGENOUS GROWTH 058 28.2.2.3 OPTIMAL ENDOGENOUS
GROWTH: SIULDLE-JRJMT TRAN- SITIONAL DYNAMICS GGO 28.3 OPTIMAL
ENDOGENOUS GROWTH IN AN OJKMI CMNUNIY . . . . . . . . 66-1 28.3.1 THE
NET BORROWER NATION 669 28.3.1.1 STEADY-STATE STABILITY AND COMPARATIVI
DY- NAMICS 071 28.4 RATIONAL EXPECTATIONS AND SADDLE POINT 07 I 28.4.1
INTRODUCTION 67-1 28.4.2 RATIONAL EXPECTATIONS, .SADDLE POINTS, AND
OVERSHOOTING 077 28.4.2.1 A DISCRETE-TIME EQUIVALENT 6S2 28.4.3 RATIONAL
EXPECTATIONS AND SADDLE POINTS: THE GENERAL CAST? OSI 28.5 INDETERMINACY
AND SUNSPOTS NSQ 28.5.1 INDETERMINACY AND FISCAL POLICY OSS 28.5.1.1
FINNS OSS 28.5.1.2 HOUSEHOLDS 089 28.5.1.3 GOVERNMENT OS'J 28.5.1.4 THE
OPTIMALITY CONDITIONS 090 28.5.1.5 THE SINGULAR POINT AND ITS NATURE 093
28.6 EXERCISES 097 28.7 REFERENCES 699 BIBLIOGRAPHY 701 |
| any_adam_object | 1 |
| author | Gandolfo, Giancarlo |
| author_GND | (DE-588)170260941 |
| author_facet | Gandolfo, Giancarlo |
| author_role | aut |
| author_sort | Gandolfo, Giancarlo |
| author_variant | g g gg |
| building | Verbundindex |
| bvnumber | BV035852714 |
| callnumber-first | H - Social Science |
| callnumber-label | HB135 |
| callnumber-raw | HB135 |
| callnumber-search | HB135 |
| callnumber-sort | HB 3135 |
| callnumber-subject | HB - Economic Theory and Demography |
| classification_rvk | QC 040 QC 340 QH 300 QH 310 |
| ctrlnum | (OCoLC)436030865 (DE-599)DNB995338779 |
| dewey-full | 339 330.15 |
| dewey-hundreds | 300 - Social sciences |
| dewey-ones | 339 - Macroeconomics and related topics 330 - Economics |
| dewey-raw | 339 330.15 |
| dewey-search | 339 330.15 |
| dewey-sort | 3339 |
| dewey-tens | 330 - Economics |
| discipline | Wirtschaftswissenschaften |
| edition | 4. ed. |
| format | Book |
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| genre_facet | Lehrbuch |
| id | DE-604.BV035852714 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-20T10:24:36Z |
| institution | BVB |
| isbn | 9783642038624 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018710726 |
| oclc_num | 436030865 |
| open_access_boolean | |
| owner | DE-473 DE-BY-UBG DE-N2 DE-188 |
| owner_facet | DE-473 DE-BY-UBG DE-N2 DE-188 |
| physical | XXV, 749 S. graf. Darst. 24 cm |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Springer |
| record_format | marc |
| spelling | Gandolfo, Giancarlo Verfasser (DE-588)170260941 aut Economic dynamics Giancarlo Gandolfo 4. ed. Heidelberg [u.a.] Springer 2009 XXV, 749 S. graf. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Literaturangaben Mathematisches Modell Wirtschaft Economics Mathematical models Economics, Mathematical Statics and dynamics (Social sciences) Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Dynamische Makroökonomie (DE-588)4200428-7 gnd rswk-swf Dynamik (DE-588)4013384-9 gnd rswk-swf Wirtschaftsmathematik (DE-588)4066472-7 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Wirtschaftstheorie (DE-588)4079351-5 gnd rswk-swf Ökonometrie (DE-588)4132280-0 gnd rswk-swf Dynamisches Modell (DE-588)4150932-8 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Dynamische Makroökonomie (DE-588)4200428-7 s DE-604 Differentialgleichung (DE-588)4012249-9 s Ökonometrie (DE-588)4132280-0 s Mathematisches Modell (DE-588)4114528-8 s 1\p DE-604 Dynamik (DE-588)4013384-9 s Wirtschaftstheorie (DE-588)4079351-5 s 2\p DE-604 Wirtschaftsmathematik (DE-588)4066472-7 s Dynamisches Modell (DE-588)4150932-8 s 3\p DE-604 text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3333209&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018710726&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 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Gandolfo, Giancarlo Economic dynamics Mathematisches Modell Wirtschaft Economics Mathematical models Economics, Mathematical Statics and dynamics (Social sciences) Mathematisches Modell (DE-588)4114528-8 gnd Dynamische Makroökonomie (DE-588)4200428-7 gnd Dynamik (DE-588)4013384-9 gnd Wirtschaftsmathematik (DE-588)4066472-7 gnd Differentialgleichung (DE-588)4012249-9 gnd Wirtschaftstheorie (DE-588)4079351-5 gnd Ökonometrie (DE-588)4132280-0 gnd Dynamisches Modell (DE-588)4150932-8 gnd |
| subject_GND | (DE-588)4114528-8 (DE-588)4200428-7 (DE-588)4013384-9 (DE-588)4066472-7 (DE-588)4012249-9 (DE-588)4079351-5 (DE-588)4132280-0 (DE-588)4150932-8 (DE-588)4123623-3 |
| title | Economic dynamics |
| title_auth | Economic dynamics |
| title_exact_search | Economic dynamics |
| title_full | Economic dynamics Giancarlo Gandolfo |
| title_fullStr | Economic dynamics Giancarlo Gandolfo |
| title_full_unstemmed | Economic dynamics Giancarlo Gandolfo |
| title_short | Economic dynamics |
| title_sort | economic dynamics |
| topic | Mathematisches Modell Wirtschaft Economics Mathematical models Economics, Mathematical Statics and dynamics (Social sciences) Mathematisches Modell (DE-588)4114528-8 gnd Dynamische Makroökonomie (DE-588)4200428-7 gnd Dynamik (DE-588)4013384-9 gnd Wirtschaftsmathematik (DE-588)4066472-7 gnd Differentialgleichung (DE-588)4012249-9 gnd Wirtschaftstheorie (DE-588)4079351-5 gnd Ökonometrie (DE-588)4132280-0 gnd Dynamisches Modell (DE-588)4150932-8 gnd |
| topic_facet | Mathematisches Modell Wirtschaft Economics Mathematical models Economics, Mathematical Statics and dynamics (Social sciences) Dynamische Makroökonomie Dynamik Wirtschaftsmathematik Differentialgleichung Wirtschaftstheorie Ökonometrie Dynamisches Modell Lehrbuch |
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