On discrete time infinite horizon optimal growth problem

Authors

DOI:

https://doi.org/10.11121/ijocta.01.2018.00464

Keywords:

optimal growth, infinite horizon optimal control, dynamic programming, Lagrange multiplier

Abstract

Optimal growth problem is an important optimization problem in the theory of economic dynamics. This paper provides an overview of the main approaches used in the existing literature in solving infinite horizon discrete time optimal growth problem and includes very recent developments.

Downloads

Download data is not yet available.

Author Biography

Ayşegül Yıldız Ulus, Department of Mathematics at Galatasaray University

Ayşegül Yıldız Ulus has been an Assistant Professor in the Department of Mathematics at Galatasaray University. She has a BA in Mathematics (Middle East Technical University-Turkey), M.Sc. and PhD degree in Applied Mathematics (University of Paris I-Pantheon Sorbonne-France). Her research interest includes optimization, functional anlaysis, fixed point theory and mathematical economics. 

References

Bellman R. , Dynamic Programming , Princeton N.J: Princeton University Press (1957).

Bewley, T.F., Existence of equilibria in economies with finitely many commodities. Journal of EconomicTheory 4, sayfa: 514540 (1972).

Blot. J., Hayek N., Pekergin F. and Pekergin N. Pontryagin principles for bounded discrete-time processes, Optimization, 64:3, 505-520 (2015).

Blot, Joel, and Thoi-Nhan Ngo. ”Pontryagin principles in infinite horizon in the presence of asymptotical constraints.” Vietnam Journal of Mathematics: 1-19 (2015).

Dechert, W.D., Lagrange multipliers in infinite horizon discrete time optimal control models. Journal of Mathematical Economics 9, page: 285-302 (1982)

Dutta J. and Tammer C., Lagrangian conditions for vector optimization in Banach spaces, Math. Meth. Oper. Res., page: 521-540 (2006)

Le Van, C. and Morhaim L., ”Optimal growth models with bounded or unbounded returns: a unifying approach.” Journal of Economic Theory 105.1 : 158-187 (2002).

Le Van C. and Saglam C., Optimal growth models and the Lagrange multiplier, Journal of Mathematical Economics, 2004, sayfa: 393-410 (2004).

Majumdar, M., Some general theorems on eciency prices with an infinite dimen- sional commodity space.Journal of Economic Theory 5 : 113 (1972).

McKenzie, L.W., Optimal economic growth, turnpike theorems and comparative dynamics. In: Arrow, K.J.,Intriligator, M.D. (Eds.), Handbook of Mathematical Economics, vol. III. North Holland, Amsterdam, (1986).

Rudin, W., Functional Analysis, McGraw-Hill, New York (1973).

Rustichini A., Lagrange multipliers in incentive-constrained problems, Journal of Mathematical Economics, sayfa: 365-380 (1998).

Stokey, N., Lucas Jr., R.E. and Prescott, E.C., Recursive Methods in Economic

Dynamics. Harvard University Press (1989).

Downloads

Published

2017-12-28
CITATION
DOI: 10.11121/ijocta.01.2018.00464
Published: 2017-12-28

How to Cite

Ulus, A. Y. (2017). On discrete time infinite horizon optimal growth problem. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), 8(1), 102–116. https://doi.org/10.11121/ijocta.01.2018.00464

Issue

Section

Research Articles