On Necessary Transversality Condition for Infinite Horizon Optimal Control Problems

被引：0

作者：

Prazak, Pavel ^{[1
]}

机构：

[1] Univ Hradec Kralove, Fac Informat & Management, Hradec Kralove, Czech Republic

来源：

PROCEEDINGS OF THE 29TH INTERNATIONAL CONFERENCE ON MATHEMATICAL METHODS IN ECONOMICS 2011, PTS I AND II | 2011年

关键词：

optimal control; dynamic economic models; ordinary differential equation; Pontryagin maximum principle; discounted autonomous infinite horizon problems; transversality condition;

D O I：

暂无

中图分类号：

F [经济];

学科分类号：

02 ;

摘要：

The present paper is intended as a brief overview that involves infinite horizon optimal control problems in continuous time. Such problems can be frequently found in economic dynamics models and especially in the literature dealing with the economic growth. First, the analogy of necessary conditions as in Pontryagin maximum principle will be presented. Then some remarks on transversality conditions follow. The paper contains a few solved and illustrative problems as well with the purpose to better understand the abstract concepts.

引用

页码：575 / 580

页数：6

共 13 条

[1] Acemoglu D., 2009, Introduction to Modern Economic Growth
[2] [Anonymous], MATH METHODS EC 2009
[3] Aseev S. M., 2004, SIAM Journal on Control and Optimization, V43, P1094, DOI DOI 10.1137/S0363012903427518
[4] Barro R. J., 2004, Economic growth
[5] Caputo M. R., 2005, FDN DYNAMIC EC ANAL
[6] Carlson D., 1987, INFINITE HORIZON OPT
[7] Chiang A. C., 1992, Elements of Dynamic Optimization
[8] NECESSARY CONDITIONS FOR OPTIMAL CONTROL PROBLEMS WITH INFINITE HORIZONS
HALKIN, H
[J]. ECONOMETRICA, 1974, 42 (02) : 267 - 272
[9] Kamien M.I., 2012, Dynamic Optimization
[10] ON THE TRANSVERSALITY CONDITION IN INFINITE HORIZON OPTIMAL PROBLEMS
MICHEL, P
[J]. ECONOMETRICA, 1982, 50 (04) : 975 - 985

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