Dynamic programming in economics:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boston
Kluwer Acad. Publ.
2003
|
| Series: | Dynamic modeling and econometrics in economics and finance
5 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references and index. - |
| Physical Description: | VIII, 201 S. |
| ISBN: | 1402074093 |
Staff View
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| 490 | 1 | |a Dynamic modeling and econometrics in economics and finance |v 5 | |
| 500 | |a Includes bibliographical references and index. - | ||
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Wirtschaftsentwicklung | |
| 650 | 4 | |a Economic development -- Mathematical models | |
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Record in the Search Index
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| adam_text |
Titel: Dynamic programming in economics
Autor: Le Van, Cuong
Jahr: 2003
Table of Contents
Preface.
1. Some Growth Models . 3
1.1 A General Growth Model. 4
1.2 The Harrod Model. 6
1.3 The Domar Model. 7
1.4 The Solow-Swan Model. 8
1.5 The Prankel Model. 10
1.6 Some Conclusions. 11
2. The Ramsey Model. 13
2.1 The Model. 13
2.1.1 The Assumptions. 15
2.1.2 Feasible Paths. 16
2.2 Existence of Optimal Paths . 16
2.3 Properties of the Optimal Paths . 19
2.4 Value Function - Bellman Equation - Optimal Policy 21
2.4.1 Some Properties of the Value Function. 22
2.4.2 Bellman Equation. 25
2.4.3 Optimal Policy. 29
2.4.4 Dynamic Properties of the Optimal Path. 31
2.4.5 Mangasarian Lemma. 32
2.4.6 On the Continuity of the Value Function and
of the Optimal Policy with respect to the Dis-
count Factor and the initial Capital Stock. 34
3. An Aggregated Optimal Growth Model with a Convex-
Concave Production Function . 37
3.1 The Model. 38
3.1.1 The Assumptions. 39
3.1.2 Feasible Paths. 39
3.2 Existence of Optimal Paths . 40
3.3 Properties of the Optimal Paths. 40
3.4 Value Function - Bellman Equation - Optimal Policy 41
3.4.1 Some Properties of the Value Function. 41
3.4.2 Bellman Equation. 42
3.4.3 Optimal Correspondence. 43
3.4.4 On the Differentiability of the Value Function . 45
3.4.5 Dynamic Properties of the Optimal Paths. 49
3.5 On the Mangasarian Lemma . 60
4. Multisector Optimal Growth Models With Bounded
From Below Returns . 63
4.1 The General Case. 66
4.1.1 Existence of an optimal solution. 67
4.1.2 Value Function and Optimal Correspondence . 69
4.1.3 Properties of Optimal Paths. 77
4.1.4 On the Continuity of the Value Function and
of the Optimal Correspondence with respect to
OMo). 78
4.2 The Case with Concave Return Function and Convex
Technology. 80
4.2.1 The One Dimension Case. 84
4.3 Examples. 86
4.3.1 Example 1 (The Ramsey Model). 86
4.3.2 Example 2. 87
4.3.3 Example 3: A Consumption-Savings Problem . 89
4.3.4 Example 4: A Two-Sector Model. 92
4.3.5 Example 5: A Human Capital Model. 94
4.3.6 Example 5: Learning by Doing Model. 96
5. Optimal Growth Models With Unbounded From
Below Returns. 101
5.1 The Model. 102
5.2 Existence of Optimal Solutions . 103
5.3 Value Function. 105
5.4 Optimal Policy - Properties of Optimal Paths. 113
5.5 Examples.115
5.5.1 Example 1.115
5.5.2 Example 2: The AK model.118
6. Optimal Growth and Competitive Equilibrium. 121
6.1 The Model.121
7. Optimal Growth Models Without Discounting . 131
7.1 The Model. 132
7.2 Good programmes. 132
7.3 Optimal Programmes. 137
7.4 Value Function - Bellman Equation. 141
8. Turnpike in Optimal Growth Models with Convex
Technology.149
8.1 The Visit Lemmas.150
8.2 The Neighborhood Turnpike.155
8.3 Turnpike Theorems .159
8.4 Remarks.162
9. Cycles and Chaos in Optimal Growth Models.165
9.1 Two-Sector Models.165
9.1.1 The model.165
9.1.2 Examples.167
9.1.3 Optimal interior stationary state.168
9.1.4 Difficulties .170
9.1.5 Existence of periodic orbits.171
9.2 Optimal chaos.173
9.2.1 Two definitions of complicated dynamics.173
9.2.2 "Rationalizability" of a map .175
9.3 Appendix.177
A. Appendix . 181
A.l Metric Spaces and Normed Spaces . 181
A.l.l Distances and Metric Spaces . 181
A.1.2 Topology on Metric Spaces. 182
A.l.3 Compact Spaces, Compact Sets. 185
A.1.4 Normed Spaces. 185
A.l.5 Product Topology.186
A.2 Concave Functions.187
A.2.1 Subdifferentiability, Differentiability of Concave
Functions.188
A.3 Negative Matrix.189
A.4 The Implicit Functions Theorem.190
A.5 Correspondences, The Maximum Theorem .190
A.5.1 Examples.191
Bibliography.193
Index.199 |
| any_adam_object | 1 |
| author | Cuong Le Van 1946- Dana, Rose-Anne |
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| dewey-search | 338.9/001/51 21 338.9/001/51 |
| dewey-sort | 3338.9 11 251 221 |
| dewey-tens | 330 - Economics |
| discipline | Wirtschaftswissenschaften |
| format | Book |
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| id | DE-604.BV019306244 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-20T06:40:28Z |
| institution | BVB |
| isbn | 1402074093 |
| language | English |
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| physical | VIII, 201 S. |
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| publisher | Kluwer Acad. Publ. |
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| series | Dynamic modeling and econometrics in economics and finance |
| series2 | Dynamic modeling and econometrics in economics and finance |
| spelling | Cuong Le Van 1946- Verfasser (DE-588)122637410 aut Dynamic programming in economics by Cuong Le Van ; Rose-Anne Dana Boston Kluwer Acad. Publ. 2003 VIII, 201 S. txt rdacontent n rdamedia nc rdacarrier Dynamic modeling and econometrics in economics and finance 5 Includes bibliographical references and index. - Mathematisches Modell Wirtschaftsentwicklung Economic development -- Mathematical models Macroeconomics -- Mathematical models Wachstumsmodell (DE-588)4127141-5 gnd rswk-swf Dynamische Optimierung (DE-588)4125677-3 gnd rswk-swf Optimaler Wachstumspfad (DE-588)4212286-7 gnd rswk-swf Dynamische Optimierung (DE-588)4125677-3 s Optimaler Wachstumspfad (DE-588)4212286-7 s Wachstumsmodell (DE-588)4127141-5 s DE-604 Dana, Rose-Anne Verfasser aut Dynamic modeling and econometrics in economics and finance 5 (DE-604)BV012605915 5 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012774255&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Cuong Le Van 1946- Dana, Rose-Anne Dynamic programming in economics Dynamic modeling and econometrics in economics and finance Mathematisches Modell Wirtschaftsentwicklung Economic development -- Mathematical models Macroeconomics -- Mathematical models Wachstumsmodell (DE-588)4127141-5 gnd Dynamische Optimierung (DE-588)4125677-3 gnd Optimaler Wachstumspfad (DE-588)4212286-7 gnd |
| subject_GND | (DE-588)4127141-5 (DE-588)4125677-3 (DE-588)4212286-7 |
| title | Dynamic programming in economics |
| title_auth | Dynamic programming in economics |
| title_exact_search | Dynamic programming in economics |
| title_full | Dynamic programming in economics by Cuong Le Van ; Rose-Anne Dana |
| title_fullStr | Dynamic programming in economics by Cuong Le Van ; Rose-Anne Dana |
| title_full_unstemmed | Dynamic programming in economics by Cuong Le Van ; Rose-Anne Dana |
| title_short | Dynamic programming in economics |
| title_sort | dynamic programming in economics |
| topic | Mathematisches Modell Wirtschaftsentwicklung Economic development -- Mathematical models Macroeconomics -- Mathematical models Wachstumsmodell (DE-588)4127141-5 gnd Dynamische Optimierung (DE-588)4125677-3 gnd Optimaler Wachstumspfad (DE-588)4212286-7 gnd |
| topic_facet | Mathematisches Modell Wirtschaftsentwicklung Economic development -- Mathematical models Macroeconomics -- Mathematical models Wachstumsmodell Dynamische Optimierung Optimaler Wachstumspfad |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012774255&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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