Optimization of non-linear dynamic consumption model with n consumer classes
作者:
MASATOSHI SAKAWA,
RYONOSUKE NARUTAKI,
KAZUYA SAWADA,
期刊:
International Journal of Systems Science
(Taylor Available online 1977)
卷期:
Volume 8,
issue 1
页码: 17-24
ISSN:0020-7721
年代: 1977
DOI:10.1080/00207727708942019
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
This paper deals with optimization of non-linear dynamic consumption model withnconsumer classes which was introduced by Kulikowski. In the model the utility function of each consumer classes is assumed to be approximated by the generalized Cobb-Douglas function and the problem of multicriteria optimization is formulated. Introducing an objective function which is expressed as a function ofnutility function, we first optimize the model with respect to another criterion which is a linear combination ofnutility functionals, The solution of the linear combination problem is obtained as a function of the weighting factors in the linear combination functional. A search procedure is then used to determine the optimum values of these weighting factors for the specified objective function.
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