Optimal Processes in a Parametric Optimal Economic Growth Model

被引：4
|
作者：
Vu Thi Huong [1 ]
Yao, Jen-Chih [2 ]
Nguyen Dong Yen [1 ]
机构：
[1] Vietnam Acad Sci & Technol, Inst Math, 18 Hoang Quoc Viet, Hanoi 10307, Vietnam
[2] China Med Univ, Ctr Gen Educ, Taichung 40402, Taiwan
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 2020年 / 24卷 / 05期
关键词：
optimal economic growth model; finite horizon optimal control problem; state constraint; optimal process; maximum principle; STATE CONSTRAINED PROBLEMS; MAXIMUM PRINCIPLE;
D O I：
10.11650/tjm/200203
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A parametric finite horizon optimal economic growth problem is solved by using the maximum principle for optimal control problems with state constraints in the book by R. Vinter [Optimal Control, Birkhauser, Boston, 2000; Theorem 9.3.1]. From the obtained results it follows that if the total factor productivity is relatively small, then the expansion of the production facility does not lead to a higher total consumption satisfaction of the society.
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页码：1283 / 1306
页数：24
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