Mathematical methods and models in economic dynamics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Amsterdam u.a.
North-Holland Publ. Co. u.a.
1972
|
| Edition: | 2. print. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 511 S. graph. Darst. |
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| 245 | 1 | 0 | |a Mathematical methods and models in economic dynamics |c Giancarlo Gandolfo |
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Record in the Search Index
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| adam_text | Titel: Mathematical methods and models in economic dynamics
Autor: Gandolfo, Giancarlo
Jahr: 1972
s CONTENTS
/
j Preface
¦ Introduction
Part I Difference equations (linear and with cnnstant coefficients)
-. Chapter 1 General principles
^ Chapter 2 First-order equations
* Chapter 3 Some economic applications of first-order equations
« § 1 The cobweb theorcm
. §2 The dynamics of multiplicrs
- §3 A tbrmalization of Ilarrod s model
- §4 A simple dynamic model of incomc Inflation
^ Chapter 4 Second-order equations
Chapter 5 Sonic economic applications of second-order equations
v §1 Samueison s multiplier-accelerator model
§2 Hicks trade cycle model
§3 Metzlcr s inventory cycle model
§4 Expectations and cobweb theorcm (Goodwin)
,y §5 Monetary factors and multiplier-accelerator intcraction (Smyth)
. Chapter 6 Higher-order equations 104
Chapter 7 Sonic economic applications of higher-order equations 111
§ 1 Distributed lags and multiplier-accelerator interaction (Micks) 111
§2 Uxpcctations and inventory cyeles (Metzicr) 1 15
v Chapter S Simultaneous Systems 121
Chapter 9 Sonic economic applications of simultaneous Systems 13S
§ 1 Multiplier et fcets in an open economy 14C
§2 Capital stock adjustment and exirapolative expectations 14:
§3 Smithies model 151
viii Contents
Part II Differential equations (linear and with constant coefficients)
u Chapter 1 General principles 163
j Chapter 2 First-order equations 167
Chapter 3 Some economic applications of first-order equations 175
* § 1 Stability of supply and demand equilibrium 175
1 §2 A re-formulation of the cobweb theorem 183
* §3Domar smodel 187
§4 The neoclassical aggregate growth model (Solow) 191
§5 Money and growth in the neoclassical aggregate model (Stein) 200
v Chapter 4 Second-order equations 210
Chapter 5 Some economic applications of second-order equations 219
§ 1 Phillips stabilization model for a closed economy 219
§ 2 A model of foreign exchange speculation under floating exchange
rates 227
v Chapter 6 Higher-order equations 236
Chapter 7 Some economic applications of higher-order equations 244
§ 1 Phillips integral stabilization policy 245
§2 Expectations and inventory adjustment 249
f Chapter 8 Simultaneous Systems 254
Chapter 9 Some economic applications of simultaneous Systems 273
V §1 Stability ofWalrasian general equilibrium of exchange 274
§2 Leontief s dynamic model 286
§3 The stability of a barter international equilibrium (Marshall-Kemp) 301
§4 A digression on arrow diagrams 310
V §5 Flexible exchange rates and the level of national income (Laursen
and Metzler) 312
§6 Füll employment and balance of payments equilibrium under
fixed exchange rates: the assignment problem 322
§7 A two-sector growth model (Shinkai) 331
Appendixes
Appendix I Comparative statics and the correspondence principle 341
m § 1 Introduction 341
v §2 The method of comparative statics 342
§3 Comparative statics and maximizing behaviour: an example from
traditional demand theory 347
Contents ix
§4 Comparative statics and the dynamic stability of equilibrium:
the corrcspondence principle 350
§5 lixtrema and dynamic stability: an application to the theorv of
the firm 354
§6 Elements of comparative dynamics 359
§ 7 Some economic applications of the corrcspondence principle 360
V 7.1 The completc Keyncsian model 360
V 7.2 The foreign trade multiplicr under llexible exchange raics 364
Appendix II The stability of equilibrium and Liapunov s
second method 368
§ 1 The coneept of stability 368
§2 Liapunov s second method : general concepts 369
§3 The fundamental theorems 371
§4 Some economic applications 375
4.1 Global stability of Walrasian general equilibrium (Arrow et al.) 375
4.2 Rulesof thumb in busincss management (Baumol and Quandt) 384
Appendix III Other lopies in differential and difference equations 387
§ 1 Introduction 387
§2 lixact equations of the tust order and of the l irst degree 388
§3 Linear equations of the first order with variable coefficients 391
§4 The Bernoulli equation 394
§5 lilements of the qualitative theory of non-lincar differential
equations 395
5.1 Single equations 395
5.2 Systems of two simultaneous equations 400
5.3 The Loika-Volterra equations 409
ij6 lilements of the qualitative theorv ot non-lincar difference
equations 416
§7 Some economic applications 421
7.1 The neoclassical aggregate growth model again (Solow) 421
7.2 limbodied technica! progressand vintage modeis (So)ow-
Bergstrom) 425
7.3 A c clical model by Goodwin 432
7.4 Goodwin s growth cycle 436
7.5 l/awa s two-sector model of economic growth 442
7.6 A multi-sector extension ot the neoclassical growth model
and the Hahn problem ( Burmeister et al.) 456
Appendix IV Linear mixed differcnrial-dilfercnce equations 467
§ I General concepts 467
x Contents
§2 The method of Solution and the stability conditions 469
§3 Some economic applications 475
3.1 Kalecki s( 1935) model 476
3.2 A formalization of the classical price-specie-flow mechanism
of balance of payments adjustment 483
Bibliography 489
Author index 499
Subject index 503
|
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| author | Gandolfo, Giancarlo |
| author_GND | (DE-588)170260941 |
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| author_role | aut |
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| author_variant | g g gg |
| building | Verbundindex |
| bvnumber | BV004138914 |
| classification_rvk | QH 150 |
| ctrlnum | (OCoLC)440936284 (DE-599)BVBBV004138914 |
| discipline | Wirtschaftswissenschaften |
| edition | 2. print. |
| format | Book |
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| spelling | Gandolfo, Giancarlo Verfasser (DE-588)170260941 aut Mathematical methods and models in economic dynamics Giancarlo Gandolfo 2. print. Amsterdam u.a. North-Holland Publ. Co. u.a. 1972 X, 511 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Dynamisches Modell (DE-588)4150932-8 gnd rswk-swf Ökonometrie (DE-588)4132280-0 gnd rswk-swf Modell (DE-588)4039798-1 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Wirtschaftsmathematik (DE-588)4066472-7 gnd rswk-swf Wirtschaftsmathematik (DE-588)4066472-7 s Modell (DE-588)4039798-1 s DE-604 Mathematisches Modell (DE-588)4114528-8 s 1\p DE-604 Dynamisches Modell (DE-588)4150932-8 s 2\p DE-604 Ökonometrie (DE-588)4132280-0 s 3\p DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002582328&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 Mathematical methods and models in economic dynamics Dynamisches Modell (DE-588)4150932-8 gnd Ökonometrie (DE-588)4132280-0 gnd Modell (DE-588)4039798-1 gnd Mathematisches Modell (DE-588)4114528-8 gnd Wirtschaftsmathematik (DE-588)4066472-7 gnd |
| subject_GND | (DE-588)4150932-8 (DE-588)4132280-0 (DE-588)4039798-1 (DE-588)4114528-8 (DE-588)4066472-7 |
| title | Mathematical methods and models in economic dynamics |
| title_auth | Mathematical methods and models in economic dynamics |
| title_exact_search | Mathematical methods and models in economic dynamics |
| title_full | Mathematical methods and models in economic dynamics Giancarlo Gandolfo |
| title_fullStr | Mathematical methods and models in economic dynamics Giancarlo Gandolfo |
| title_full_unstemmed | Mathematical methods and models in economic dynamics Giancarlo Gandolfo |
| title_short | Mathematical methods and models in economic dynamics |
| title_sort | mathematical methods and models in economic dynamics |
| topic | Dynamisches Modell (DE-588)4150932-8 gnd Ökonometrie (DE-588)4132280-0 gnd Modell (DE-588)4039798-1 gnd Mathematisches Modell (DE-588)4114528-8 gnd Wirtschaftsmathematik (DE-588)4066472-7 gnd |
| topic_facet | Dynamisches Modell Ökonometrie Modell Mathematisches Modell Wirtschaftsmathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002582328&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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