國立虎尾科技大學 |

Optimal Control Problems Arising in Mathematical Economics

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Optimal Control Problems Arising in Mathematical Economics/ by Alexander J. Zaslavski.
作者:	Zaslavski, Alexander J.
面頁冊數:	XI, 378 p. 1 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Calculus of Variations and Optimization. -
電子資源:	https://doi.org/10.1007/978-981-16-9298-7
ISBN:	9789811692987

Optimal Control Problems Arising in Mathematical Economics
Zaslavski, Alexander J.

Optimal Control Problems Arising in Mathematical Economics[electronic resource] /by Alexander J. Zaslavski. - 1st ed. 2022. - XI, 378 p. 1 illus.online resource. - Monographs in Mathematical Economics,52364-8287 ;. - Monographs in Mathematical Economics,1.

Preface-1. Introduction -- 2. Turnpike Conditions for Optimal Control Systems -- 3. Nonautonomous Problems with Perturbed Objective Functions -- 4. Nonautonomous Problems with Discounting -- 5. Stability of the Turnpike Phenomenon for Nonautonomous Problems -- 6. Stability of the Turnpike for Nonautonomous Problems with Discounting -- 7. Turnpike Properties for Autonomous Problems -- 8. Autonomous Problems with Perturbed Objective Functions -- 9. Stability Results for Autonomous Problems -- 10. Models with Unbounded Endogenous Economic Growth-Reference -- Index.

This book is devoted to the study of two large classes of discrete-time optimal control problems arising in mathematical economics. Nonautonomous optimal control problems of the first class are determined by a sequence of objective functions and sequence of constraint maps. They correspond to a general model of economic growth. We are interested in turnpike properties of approximate solutions and in the stability of the turnpike phenomenon under small perturbations of objective functions and constraint maps. The second class of autonomous optimal control problems corresponds to another general class of models of economic dynamics which includes the Robinson–Solow–Srinivasan model as a particular case. In Chap. 1 we discuss turnpike properties for a large class of discrete-time optimal control problems studied in the literature and for the Robinson–Solow–Srinivasan model. In Chap. 2 we introduce the first class of optimal control problems and study its turnpike property. This class of problems is also discussed in Chaps. 3–6. In Chap. 3 we study the stability of the turnpike phenomenon under small perturbations of the objective functions. Analogous results for problems with discounting are considered in Chap. 4. In Chap. 5 we study the stability of the turnpike phenomenon under small perturbations of the objective functions and the constraint maps. Analogous results for problems with discounting are established in Chap. 6. The results of Chaps. 5 and 6 are new. The second class of problems is studied in Chaps. 7–9. In Chap. 7 we study the turnpike properties. The stability of the turnpike phenomenon under small perturbations of the objective functions is established in Chap. 8. In Chap. 9 we establish the stability of the turnpike phenomenon under small perturbations of the objective functions and the constraint maps. The results of Chaps. 8 and 9 are new. In Chap. 10 we study optimal control problems related to a model of knowledge-based endogenous economic growth and show the existence of trajectories of unbounded economic growth and provide estimates for the growth rate.

ISBN: 9789811692987

Standard No.: 10.1007/978-981-16-9298-7doiSubjects--Topical Terms:

1366302
Calculus of Variations and Optimization.

LC Class. No.: QA402.5-402.6

Dewey Class. No.: 519.6

Optimal Control Problems Arising in Mathematical Economics
LDR:04111nam a22004095i 4500 001 1087883
003 DE-He213
005 20220628153921.0
007 cr nn 008mamaa
008 221228s2022 si | s |||| 0|eng d
020 $a 9789811692987 $9 978-981-16-9298-7
024 7 $a 10.1007/978-981-16-9298-7 $2 doi
035 $a 978-981-16-9298-7
050 4 $a QA402.5-402.6
072 7 $a PBU $2 bicssc
072 7 $a MAT003000 $2 bisacsh
072 7 $a PBU $2 thema
082 0 4 $a 519.6 $2 23
100 1 $a Zaslavski, Alexander J. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1022503
245 1 0 $a Optimal Control Problems Arising in Mathematical Economics $h [electronic resource] / $c by Alexander J. Zaslavski.
250 $a 1st ed. 2022.
264 1 $a Singapore : $b Springer Nature Singapore : $b Imprint: Springer, $c 2022.
300 $a XI, 378 p. 1 illus. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Monographs in Mathematical Economics, $x 2364-8287 ; $v 5
505 0 $a Preface-1. Introduction -- 2. Turnpike Conditions for Optimal Control Systems -- 3. Nonautonomous Problems with Perturbed Objective Functions -- 4. Nonautonomous Problems with Discounting -- 5. Stability of the Turnpike Phenomenon for Nonautonomous Problems -- 6. Stability of the Turnpike for Nonautonomous Problems with Discounting -- 7. Turnpike Properties for Autonomous Problems -- 8. Autonomous Problems with Perturbed Objective Functions -- 9. Stability Results for Autonomous Problems -- 10. Models with Unbounded Endogenous Economic Growth-Reference -- Index.
520 $a This book is devoted to the study of two large classes of discrete-time optimal control problems arising in mathematical economics. Nonautonomous optimal control problems of the first class are determined by a sequence of objective functions and sequence of constraint maps. They correspond to a general model of economic growth. We are interested in turnpike properties of approximate solutions and in the stability of the turnpike phenomenon under small perturbations of objective functions and constraint maps. The second class of autonomous optimal control problems corresponds to another general class of models of economic dynamics which includes the Robinson–Solow–Srinivasan model as a particular case. In Chap. 1 we discuss turnpike properties for a large class of discrete-time optimal control problems studied in the literature and for the Robinson–Solow–Srinivasan model. In Chap. 2 we introduce the first class of optimal control problems and study its turnpike property. This class of problems is also discussed in Chaps. 3–6. In Chap. 3 we study the stability of the turnpike phenomenon under small perturbations of the objective functions. Analogous results for problems with discounting are considered in Chap. 4. In Chap. 5 we study the stability of the turnpike phenomenon under small perturbations of the objective functions and the constraint maps. Analogous results for problems with discounting are established in Chap. 6. The results of Chaps. 5 and 6 are new. The second class of problems is studied in Chaps. 7–9. In Chap. 7 we study the turnpike properties. The stability of the turnpike phenomenon under small perturbations of the objective functions is established in Chap. 8. In Chap. 9 we establish the stability of the turnpike phenomenon under small perturbations of the objective functions and the constraint maps. The results of Chaps. 8 and 9 are new. In Chap. 10 we study optimal control problems related to a model of knowledge-based endogenous economic growth and show the existence of trajectories of unbounded economic growth and provide estimates for the growth rate.
650 2 4 $a Calculus of Variations and Optimization. $3 1366302
650 1 4 $a Continuous Optimization. $3 888956
650 0 $a Calculus of variations. $3 527927
650 0 $a Mathematical optimization. $3 527675
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9789811692970
776 0 8 $i Printed edition: $z 9789811692994
776 0 8 $i Printed edition: $z 9789811693007
830 0 $a Monographs in Mathematical Economics, $x 2364-8279 ; $v 1 $3 1257903
856 4 0 $u https://doi.org/10.1007/978-981-16-9298-7
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)