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Positive Mathematical Programming: a Comparison of Different Specification Rules
2008In this paper, the prescriptive capacity of different types of positive mathematical programming models applied to the Alentejo agricultural sector is analysed. Model results are compared for 2000 and 2004 agricultural price and subsidies scenarios, regarding optimal combination of activities.
Fragoso, Rui Manuel de Sousa +2 more
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Calibration of Agricultural Risk Programming Models Using Positive Mathematical Programming
2018Beginning in the 1960s, agricultural economists used mathematical programming methods to examine producers responses to policy changes. Today, positive mathematical programming (PMP) employs observed average costs and crop allocations to calibrate a nonlinear cost function, thereby modifying a linear objective function to a nonlinear one to replicate ...
Liu, S. +5 more
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Journal of Optimization Theory and Applications, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nguyen Huy Chieu, Gue Myung Lee
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nguyen Huy Chieu, Gue Myung Lee
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Incorporating Risk in a Positive Mathematical Programming Framework: a New Methodological Approach
2014In this paper we develop a new methodological proposal to incorporate risk into a farm level Positive Mathematical Programming (PMP) model. Our model presents some innovations with respect to the previous literature and estimates simultaneously the resource shadow prices, the farm non-linear cost function and a farm-specific coefficient of absolute ...
Arata, Linda +3 more
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Mathematical programming for positive solutions of ill-conditioned inverse problems
2007The study of Fredholm equations of the first kind, which are ill-posed inverse problems, is an area of physics and mathematics that is currently flourishing, with applications in many areas of interest. Problems of this type are characterised by a forward relation that includes some loss of information.
B McNally, ER Pike
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Incorporating risk in a positive mathematical programming framework: a dual approach
2016In this study we develop a new methodological proposal to incorporate risk into a farm-level positive mathematical programming (PMP) model. We estimate simulta-neously the farm nonlinear cost function and a farmer-specific coefficient of absolute risk aversion as well as the resource shadow prices. The model is applied to a sample of representative arable
Arata, Linda +7 more
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Using the Positive Mathematical Programming Method to Calibrate Linear Programming Models
2005In agricultural economics, several calibration and aggregation approaches have evolved in mathematical programming models. This article combines in a linear programming model features of the Positive Mathematical Programming method with an aggregation approach that is constrained to the production possibility set spanned by a convex combination of ...
Schmid, E., Sinabell, F.
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Models Based on Positive Mathematical Programming: State of the Art and Further Extensions
2005Mathematical programming models have received renewed interest in the area of agricultural and agri-environmental policy analysis. Their ability to explicitly represent physical constraints makes them specifically suited for connecting economic and bio-physical aspects of agricultural systems. Furthermore, they allow for a direct representation of many
Heckelei, Thomas +3 more
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