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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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