[Turkmath] MSGSU Seminer: Aysegul Yildiz Ulus/ Deterministic Model of Optimal Growth as an Optimization Problem/ 18.12.2014 16:00

[Emrah Çakçak]

Değerli liste üyeleri,

MSGSÜ matematik bölümü genel seminerinde bu hafta konuşmacımız,Ayşegül
Yıldız Ulus. Konuşmanın detayları aşağıda.

İyi çalışmalar,

Emrah Çakçak

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Konuşmacı: Ayşegül Yıldız Ulus (Galatasaray Üniversitesi)

Başlık: Deterministic Model of Optimal Growth  as an Optimization Problem

Özet: Discrete time optimal growth model is one of the important models of
the theory of economics. This simple and elegant model is described by the
presence of a social planner who maximizes the infinite sum of discounted
utilities of consumption subject to a convex one sector production set. One
useful approach to solve this problem is dynamic programming which is in
fact the study of a dynamic optimization problem through the analysis of
value functional equations.  In finite horizon, these types of problems can
be solved by means of Lagrange multipliers method. In infinite horizon
optimal growth models, these multipliers will typically belong to an
infinite dimensional decision space. Therefore, the questions whether the
Lagrange multipliers exist and whether they can be represented by a
summable sequence arise. These problems have been overcome by extending the
Lagrangean to infinite dimensional spaces and sufficient conditions for
Lagrangean to be represented by a summable sequence of multipliers are then
provided.  In this talk, I will present the problem in general form and
give the extension of the Kuhn-Tucker theorem where the multipliers are
represented in (l∞)', the dual space of l∞, and then give sufficient
conditions for having an l^1 representation of the multipliers.

Zaman: 18.12.2014 16:00

Yer: MSGSÜ, Bomonti Kampüsü (Harita <http://math.msgsu.edu.tr/iletisim.html>),
Matematik Bölümü Seminer Odası.
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