Economic dynamics: theory and computation
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge, Mass. [u.a.]
MIT Press
2009
|
| Schriftenreihe: | Computational economics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVII, 373 S. graph. Darst. |
| ISBN: | 9780262012775 |
Internformat
MARC
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| 245 | 1 | 0 | |a Economic dynamics |b theory and computation |c John Stachurski |
| 264 | 1 | |a Cambridge, Mass. [u.a.] |b MIT Press |c 2009 | |
| 300 | |a XVII, 373 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Computational economics | |
| 650 | 0 | |a Statics and dynamics (Social sciences) / Mathematical models | |
| 650 | 0 | |a Economics / Mathematical models | |
| 650 | 7 | |a Dynamische modellen |2 gtt | |
| 650 | 7 | |a Economische verandering |2 gtt | |
| 650 | 7 | |a Economía - Modelos matemáticos |2 lemb | |
| 650 | 7 | |a Equilibrio social - Modelos matemáticos |2 lemb | |
| 650 | 7 | |a Wiskundige modellen |2 gtt | |
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Wirtschaft | |
| 650 | 4 | |a Economics |x Mathematical models | |
| 650 | 4 | |a Statics and dynamics (Social sciences) |x Mathematical models | |
| 650 | 0 | 7 | |a Dynamische Makroökonomie |0 (DE-588)4200428-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Stochastisches System |0 (DE-588)4057635-8 |2 gnd |9 rswk-swf |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-017129566 | ||
Datensatz im Suchindex
| _version_ | 1804138635038031872 |
|---|---|
| adam_text | Contents
Preface
xiii
Common Symbols
xvii
1
Introduction
1
1 Introduction to Dynamics
9
2
Introduction to Programming
2.1
Basic Techniques
2.1.1
Algorithms
ц
2.1.2
Coding: First Steps
14
2.1.3
Modules and Scripts
19
2.1.4
Flow Control
21
2.2
Program Design
25
2.2.1
User-Defined Functions
25
2.2.2
More Data Types
27
2.2.3
Object-Oriented Programming
29
2.3
Commentary
33
3
Analysis in Metric Space
35
3.1
A First Look at Metric Space
35
3.1.1
Distances and Norms
36
3.1.2
Sequences
38
3.1.3
Open Sets, Closed Sets
41
3.2
Further Properties
44
3.2.1
Completeness
44
3.2.2
Compactness
46
Contents
3.2.3
Optimization, Equivalence
48
3.2.4
Fixed Points
51
3.3
Commentary
54
Introduction to Dynamics
55
4.1
Deterministic Dynamical Systems
55
4.1.1
The Basic Model
55
4.1.2
Global Stability
59
4.1.3
Chaotic Dynamic Systems
62
4.1.4
Equivalent Dynamics and Linearization
66
4.2
Finite State Markov Chains
68
4.2.1
Definition
68
4.2.2
Marginal Distributions
72
4.2.3
Other Identities
76
4.2.4
Constructing Joint Distributions
80
4.3
Stability of Finite State MCs
83
4.3.1
Stationary Distributions
83
4.3.2
The Dobrushin Coefficient
88
4.3.3
Stability
90
4.3.4
The Law of Large Numbers
93
4.4
Commentary
96
Further Topics for Finite MCs
99
5.1
Optimization
99
5.1.1
Outline of the Problem
99
5.1.2
Value Iteration
102
5.1.3
Policy Iteration
105
5.2
MCs and SRSs
107
5.2.1
From MCs to SRSs
107
5.2.2
Application: Equilibrium Selection
110
5.2.3
The Coupling Method
112
5.3
Commentary
116
Infinite State Space
117
6.1
First Steps
117
6.1.1
Basic Models and Simulation
117
6.1.2
Distribution Dynamics
122
6.1.3
Density Dynamics
125
6.1.4
Stationary Densities: First Pass
129
6.2
Optimal Growth, Infinite State
133
Contents
6.2.1
Optimization
133
6.2.2
Fitted Value Iteration
135
6.2.3
Policy Iteration
142
6.3
Stochastic Speculative Price
145
6.3.1
The Model
145
6.3.2
Numerical Solution
150
6.3.3
Equilibria and Optima
154
6.4
Commentary
156
II Advanced Techniques
157
7
Integration
159
7.1
Measure Theory
159
7.1.1
Lebesgue Measure
159
7.1.2
Measurable Spaces
163
7.1.3
General Measures and Probabilities
166
7.1.4
Existence of Measures
168
7.2
Definition of the Integral
171
7.2.1
Integrating Simple Functions
171
7.2.2
Measurable Functions
173
7.2.3
Integrating Measurable Functions
177
7.3
Properties of the Integral
178
7.3.1
Basic Properties
179
7.3.2
Finishing Touches
180
7.3.3
The Space Li
183
7.4
Commentary
186
8
Density Markov Chains
187
8.1
Outline
187
8.1.1
Stochastic Density Kernels
187
8.1.2
Connection with SRSs
189
8.1.3
The Markov Operator
195
8.2
Stability
197
8.2.1
The Big Picture
197
8.2.2
Dobrashin Revisited
201
8.2.3
Drift Conditions
204
8.2.4
Applications
207
8.3
Commentary
210
Contents
9
Measure-Theoretic Probability
211
9.1
Random Variables
211
9.1.1
Basic Definitions
211
9.1.2
Independence
215
9.1.3
Back to Densities
216
9.2
General State Markov Chains
218
9.2.1
Stochastic Kernels
218
9.2.2
The Fundamental Recursion, Again
223
9.2.3
Expectations
225
9.3
Commentary
227
10
Stochastic Dynamic Programming
229
10.1
Theory
229
10.1.1
Statement of the Problem
229
10.1.2
Optimality
231
10.1.3
Proofs
235
10.2
Numerical Methods
238
10.2.1
Value Iteration
238
10.2.2
Policy Iteration
241
10.2.3
Fitted Value Iteration
244
10.3
Commentary
246
11
Stochastic Dynamics
247
11.1
Notions of Convergence
247
11.1.1
Convergence of Sample Paths
247
11.1.2
Strong Convergence of Measures
252
11.1.3
Weak Convergence of Measures
254
11.2
Stability: Analytical Methods
257
11.2.1
Stationary Distributions
257
11.2.2
Testing for Existence
260
11.2.3
The Dobrushin Coefficient, Measure Case
263
11.2.4
Application: Credit-Constrained Growth
266
11.3
Stability: Probabilistic Methods
271
11.3.1
Coupling with Regeneration
272
11.3.2
Coupling and the Dobrushin Coefficient
276
11.3.3
Stability via
Monotonicity
279
11.3.4
More on
Monotonicity
283
11.3.5
Further Stability Theory
288
11.4
Commentary
293
Contents
12
More Stochastic Dynamic Programming
295
12.1
Monotonicity
and Concavity
295
12.1.1
Monotonicity
295
12.1.2
Concavity and Differentiability
299
12.1.3
Optimal Growth Dynamics
302
12.2
Unbounded Rewards
306
12.2.1
Weighted Supremum Norms
306
12.2.2
Results and Applications
308
12.2.3
Proofs
311
12.3
Commentary
312
III Appendixes
315
317
317
317
320
324
327
327
331
334
339
339
342
344
345
347
349
350
357
367
A Real
1
Analysis
A.I
The Nuts and Bolts
A.
1.1
Sets and Logic
A.
1.2
Functions
A.1.3 Basic Probability
A.2
The Real Numbers
A.2.1 Real Sequences
A.2.2 Max,
Min,
Sup, and
Inf
A.2.3 Functions of a Real Variable
В
Chapter Appendixes
B.I
Appendix to Chapter
3
B.2
Appendix to Chapter
4
B.3
Appendix to Chapter
6
B.4
Appendix to Chapter
8
B.5
Appendix to Chapter
10
B.6
Appendix to Chapter
11
B.7
Appendix to Chapter
12
Bibliography
Index
|
| any_adam_object | 1 |
| author | Stachurski, John 1969- |
| author_GND | (DE-588)171888014 |
| author_facet | Stachurski, John 1969- |
| author_role | aut |
| author_sort | Stachurski, John 1969- |
| author_variant | j s js |
| building | Verbundindex |
| bvnumber | BV035325050 |
| callnumber-first | H - Social Science |
| callnumber-label | HB145 |
| callnumber-raw | HB145 |
| callnumber-search | HB145 |
| callnumber-sort | HB 3145 |
| callnumber-subject | HB - Economic Theory and Demography |
| classification_rvk | QC 340 |
| ctrlnum | (OCoLC)244177236 (DE-599)GBV574753184 |
| dewey-full | 330.1/519 |
| dewey-hundreds | 300 - Social sciences |
| dewey-ones | 330 - Economics |
| dewey-raw | 330.1/519 |
| dewey-search | 330.1/519 |
| dewey-sort | 3330.1 3519 |
| dewey-tens | 330 - Economics |
| discipline | Wirtschaftswissenschaften |
| format | Book |
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| id | DE-604.BV035325050 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:31:19Z |
| institution | BVB |
| isbn | 9780262012775 |
| language | English |
| lccn | 2008035973 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017129566 |
| oclc_num | 244177236 |
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| owner | DE-945 DE-20 DE-384 DE-M382 DE-355 DE-BY-UBR DE-11 DE-188 DE-473 DE-BY-UBG DE-703 DE-N2 |
| owner_facet | DE-945 DE-20 DE-384 DE-M382 DE-355 DE-BY-UBR DE-11 DE-188 DE-473 DE-BY-UBG DE-703 DE-N2 |
| physical | XVII, 373 S. graph. Darst. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | MIT Press |
| record_format | marc |
| series2 | Computational economics |
| spelling | Stachurski, John 1969- Verfasser (DE-588)171888014 aut Economic dynamics theory and computation John Stachurski Cambridge, Mass. [u.a.] MIT Press 2009 XVII, 373 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Computational economics Statics and dynamics (Social sciences) / Mathematical models Economics / Mathematical models Dynamische modellen gtt Economische verandering gtt Economía - Modelos matemáticos lemb Equilibrio social - Modelos matemáticos lemb Wiskundige modellen gtt Mathematisches Modell Wirtschaft Economics Mathematical models Statics and dynamics (Social sciences) Mathematical models Dynamische Makroökonomie (DE-588)4200428-7 gnd rswk-swf Stochastisches System (DE-588)4057635-8 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Wirtschaftsentwicklung (DE-588)4066438-7 gnd rswk-swf Wirtschaftsentwicklung (DE-588)4066438-7 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Dynamische Makroökonomie (DE-588)4200428-7 s Stochastisches System (DE-588)4057635-8 s DE-188 Erscheint auch als Online-Ausgabe (DE-604)BV044967913 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017129566&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Stachurski, John 1969- Economic dynamics theory and computation Statics and dynamics (Social sciences) / Mathematical models Economics / Mathematical models Dynamische modellen gtt Economische verandering gtt Economía - Modelos matemáticos lemb Equilibrio social - Modelos matemáticos lemb Wiskundige modellen gtt Mathematisches Modell Wirtschaft Economics Mathematical models Statics and dynamics (Social sciences) Mathematical models Dynamische Makroökonomie (DE-588)4200428-7 gnd Stochastisches System (DE-588)4057635-8 gnd Mathematisches Modell (DE-588)4114528-8 gnd Wirtschaftsentwicklung (DE-588)4066438-7 gnd |
| subject_GND | (DE-588)4200428-7 (DE-588)4057635-8 (DE-588)4114528-8 (DE-588)4066438-7 |
| title | Economic dynamics theory and computation |
| title_auth | Economic dynamics theory and computation |
| title_exact_search | Economic dynamics theory and computation |
| title_full | Economic dynamics theory and computation John Stachurski |
| title_fullStr | Economic dynamics theory and computation John Stachurski |
| title_full_unstemmed | Economic dynamics theory and computation John Stachurski |
| title_short | Economic dynamics |
| title_sort | economic dynamics theory and computation |
| title_sub | theory and computation |
| topic | Statics and dynamics (Social sciences) / Mathematical models Economics / Mathematical models Dynamische modellen gtt Economische verandering gtt Economía - Modelos matemáticos lemb Equilibrio social - Modelos matemáticos lemb Wiskundige modellen gtt Mathematisches Modell Wirtschaft Economics Mathematical models Statics and dynamics (Social sciences) Mathematical models Dynamische Makroökonomie (DE-588)4200428-7 gnd Stochastisches System (DE-588)4057635-8 gnd Mathematisches Modell (DE-588)4114528-8 gnd Wirtschaftsentwicklung (DE-588)4066438-7 gnd |
| topic_facet | Statics and dynamics (Social sciences) / Mathematical models Economics / Mathematical models Dynamische modellen Economische verandering Economía - Modelos matemáticos Equilibrio social - Modelos matemáticos Wiskundige modellen Mathematisches Modell Wirtschaft Economics Mathematical models Statics and dynamics (Social sciences) Mathematical models Dynamische Makroökonomie Stochastisches System Wirtschaftsentwicklung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017129566&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT stachurskijohn economicdynamicstheoryandcomputation |