On a nonstationary discrete time infinite horizon growth model with uncertainty
Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 1, pp. 193-202
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In this paper we examine a nonstationary discrete time, infinite horizon growth model with uncertainty. Under very general hypotheses on the data of the model, we establish the existence of an optimal program and we show that the values of the finite horizon problems tend to that of the infinite horizon as the end of the planning period approaches infinity. Finally we derive a transversality condition for optimality which does not involve dual variables (prices).
Classification :
49J10, 49K10, 90A16, 90A20, 91B62
Keywords: growth model; discrete time; infinite horizon; finite horizon; uncertainty; utility function; technology multifunction; optimal program; transversality condition
Keywords: growth model; discrete time; infinite horizon; finite horizon; uncertainty; utility function; technology multifunction; optimal program; transversality condition
@article{CMUC_1997__38_1_a18,
author = {Papageorgiou, Nikolaos S. and Papalini, Francesca and Vercillo, Susanna},
title = {On a nonstationary discrete time infinite horizon growth model with uncertainty},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {193--202},
publisher = {mathdoc},
volume = {38},
number = {1},
year = {1997},
mrnumber = {1455484},
zbl = {0887.90035},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1997__38_1_a18/}
}
TY - JOUR AU - Papageorgiou, Nikolaos S. AU - Papalini, Francesca AU - Vercillo, Susanna TI - On a nonstationary discrete time infinite horizon growth model with uncertainty JO - Commentationes Mathematicae Universitatis Carolinae PY - 1997 SP - 193 EP - 202 VL - 38 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMUC_1997__38_1_a18/ LA - en ID - CMUC_1997__38_1_a18 ER -
%0 Journal Article %A Papageorgiou, Nikolaos S. %A Papalini, Francesca %A Vercillo, Susanna %T On a nonstationary discrete time infinite horizon growth model with uncertainty %J Commentationes Mathematicae Universitatis Carolinae %D 1997 %P 193-202 %V 38 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/CMUC_1997__38_1_a18/ %G en %F CMUC_1997__38_1_a18
Papageorgiou, Nikolaos S.; Papalini, Francesca; Vercillo, Susanna. On a nonstationary discrete time infinite horizon growth model with uncertainty. Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 1, pp. 193-202. http://geodesic.mathdoc.fr/item/CMUC_1997__38_1_a18/