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DUALITY THEOREM FOR CONVEX HOMOGENEOUS PROGRAMMING*

 

作者: Paul Moescke,  

 

期刊: Metroeconomica  (WILEY Available online 1964)
卷期: Volume 16, issue 1  

页码: 32-40

 

ISSN:0026-1386

 

年代: 1964

 

DOI:10.1111/j.1467-999X.1964.tb00315.x

 

出版商: Blackwell Publishing Ltd

 

数据来源: WILEY

 

摘要:

Summary:It is well‐known that the general nonlinear program does not allow the formulation of a dual extremand that solely contains the dual variables. It is shown that a primal program that is homogeneous (of any degree) in both extremand and side conditions has, like a linear program, alineardual extrcmand that contains only the dual variables. The economic import of this result, namely the ecpialization of primal optimand and factor rewards, is pointed out for both allocation under constant returns and allocation under risk. We illustrate the duality theorem with a small‐scale program for cashcrop farming under r

 

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