PMP and Uniqueness of Calibrating Solution: A Revision

University of California, Davis Department of Agricultural and Resource Economics Working Paper No. 15-001

23 Pages Posted: 4 Apr 2015

See all articles by Quirino Paris

Quirino Paris

University of California, Davis - Department of Agricultural and Resource Economics

Date Written: April 2, 2015

Abstract

This paper demonstrates the existence of a unique solution of the PMP problem when both observed output quantities and limiting input prices are taken as calibrating benchmarks. This version of PMP avoids the use of a user-determined small positive number ε originally introduced for guaranteeing that the dual (shadow) price of binding input constraints be positive. Furthermore, the paper shows how to obtain endogenous output supply and input demand elasticities that match available information about them in the form of previously estimated parameters for an entire region or sector. The framework is applied to a sample of farms also for the case that admits no production for some of the crop activities. The calibrating solution is very close to the observed values of output quantities and input prices. The calibrating model does not use the matrix of fixed technical coefficient and reproduces identical calibrating solutions.

Keywords: positive mathematical programming, solution uniqueness, supply elasticities, calibrating model

JEL Classification: C6

Suggested Citation

Paris, Quirino, PMP and Uniqueness of Calibrating Solution: A Revision (April 2, 2015). University of California, Davis Department of Agricultural and Resource Economics Working Paper No. 15-001, Available at SSRN: https://ssrn.com/abstract=2589323 or http://dx.doi.org/10.2139/ssrn.2589323

Quirino Paris (Contact Author)

University of California, Davis - Department of Agricultural and Resource Economics ( email )

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