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Cost function and positive mathematical programming

Bio-based and Applied Economics

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Title Cost function and positive mathematical programming
 
Creator Paris, Quirino; University of California, Davis
 
Subject positive mathematical programming; solution uniqueness; supply elasticities; calibrating model
C6
 
Description A line of research in Positive Mathematical Programming (PMP) has pursued the goal of estimating a cost function capable of reproducing the base-year results in a sample of farms. Originally, the PMP approach estimated a “myopic” cost function, that is, a cost relation depending only on the output levels observed during a production cycle. No input price entered this type of cost function. In this paper we define and estimate a proper cost function that calibrates the economic results of a sample of farms. In the process, we demonstrate the existence of a unique solution of the PMP problem when observed output quantities and limiting input prices are taken as calibrating benchmarks. Furthermore, the paper shows how to obtain endogenous output supply elasticities that calibrate with available exogenous information in the form of previously estimated elasticities for an entire region or sector. This framework is applied to a sample of Italian farms that admit no production for some of the crop activities. This PMP model can be used to explore farmers’ response to various policy decisions involving output prices, environmental constraints, limiting input supply, and other government interventions.
 
Publisher Bio-based and Applied Economics
Bio-based and Applied Economics
 
Contributor
 
Date 2017-07-18
 
Type info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion

 
Format application/pdf
 
Identifier http://www.fupress.net/index.php/bae/article/view/18140
http://www.fupress.net/index.php/bae/article/download/18140/19302
10.13128/BAE-18140
 
Source Bio-based and Applied Economics; Vol 6, No 1 (2017); 19-35
Bio-based and Applied Economics; Vol 6, No 1 (2017); 19-35
2280-6172
2280-6180
 
Language eng
 
Relation 10.13128/BAE-18140
 
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