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Approximating Closed Form Solutions to a Class of Feedback Policies

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Author Info
Sandal, Leif K. () (Dept. of Finance and Management Science, Norwegian School of Economics and Business Administration)
Abstract

Dynamic optimization problems cover a large class of problems in theoretical and applied economics. A simple iterative algorithm with fast convergence is proposed. It is demonstrated that the algorithm in a few steps produce excellent analytic (closed form) approximations including error bounds to a class of nonlinear problems. The algorithmic scheme is also well suited to produce numerical solutions. The notions of dynamic and potential rents are operationalized. The algorithm is utilizing a relation balancing these concepts. The result is particularly strong in the case of zero discounting where the exact CU-optimal policy is determined in a single step. Applying a particular seed in the general convergent scheme reproduces in a simple way results (formulas) published in the last decade in bioeconomics.

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Publisher Info
Paper provided by Department of Finance and Management Science, Norwegian School of Economics and Business Administration in its series Discussion Papers with number 2009/8.

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Length: 27 pages
Date of creation: 15 Sep 2009
Date of revision:
Handle: RePEc:hhs:nhhfms:2009_008

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Postal: NHH, Department of Finance and Management Science, Helleveien 30, N-5045 Bergen, Norway
Phone: +47 55 95 92 93
Fax: +47 55 95 96 50
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Web page: http://www.nhh.no/for/
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Related research
Keywords: Closed form approximations; Contraction algorithm; Renewable resource economics; Capital dynamic modeling; Zero discounting and optimality;

Find related papers by JEL classification:
A12 - General Economics and Teaching - - General Economics - - - Relation of Economics to Other Disciplines
C61 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Optimization Techniques; Programming Models; Dynamic Analysis
C63 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Computational Techniques
E10 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - General
Q00 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - General - - - General

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This page was last updated on 2009-11-26.


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