| Issue |
ESAIM: COCV
Volume 5, 2000
|
|
|---|---|---|
| Page(s) | 279 - 292 | |
| DOI | https://doi.org/10.1051/cocv:2000111 | |
| Published online | 15 August 2002 | |
Sufficient conditions for infinite-horizon calculus of variations problems
1
CERMSEM, M.S.E., Université de Paris 1
Panthéon-Sorbonne, 106-112 boulevard de l'Hôpital,
75647 Paris Cedex 13, France; blot@univ-paris1.fr.
2
L.I.B.R.E., Faculté de Droit et des
Sciences Économiques, Université de Franche-Comté, avenue de
l'Observatoire, 25030 Besançon Cedex, France, and CERMSEM, M.S.E.,
Université de Paris 1 Panthéon - Sorbonne, 106-112 boulevard de
l'Hôpital, 75647 Paris Cedex 13, France; hayek@univ-paris1.fr.
Received:
29
October
1998
Revised:
9
December
1999
Revised:
17
April
2000
After a brief survey of the literature about sufficient conditions, we give different sufficient conditions of optimality for infinite-horizon calculus of variations problems in the general (non concave) case. Some sufficient conditions are obtained by extending to the infinite-horizon setting the techniques of extremal fields. Others are obtained in a special qcase of reduction to finite horizon. The last result uses auxiliary functions. We treat five notions of optimality. Our problems are essentially motivated by macroeconomic optimal growth models.
Mathematics Subject Classification: 90A16 / 49K99
Key words: Calculus of variations / infinite-horizon problems / optimal growth theory.
© EDP Sciences, SMAI, 2000
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.