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Price Endogenous Mathematical Programming Models and Trade Analysis

  • Thomas H. Spreen (a1)


Takayama and Judge introduced the price endogenous mathematical programming model as an alternative to the traditional econometric approach to sector-level policy analysis. McCarl and Spreen provided a review of price endogenous mathematical programming models. In that paper, they showed how price endogeneity can be introduced into a standard firm-level linear programming model. The introduction of price endogeneity allows expansion of the firm-level specification to a market-level analysis. At the time of publication of McCarl and Spreen, however, the application of price endogenous mathematical programming models was limited by the availability of software packages that could directly solve such models. The typical application used linear supply and/or demand relationships, which resulted in a quadratic programming (QP) specification. The advent of MINOS in the 1980s and then its incorporation into GAMS has lifted the computation constraint. In the present day, numerous price endogenous models have been developed. I can lay claim to six such models.



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Busby, J.C., and Spreen, T.H.. “The Impact on the U.S. Grapefruit Industry on Banning the Pesticide Sodium Ortho-phenylphenate.Journal of Food Distribution Research 26,2(1995):3946.
Deepak, M.S., Spreen, T.H., and VanSickle, J.J.. “An Analysis of the Impact of a Ban of Methyl Bromide on the U.S. Winter Fresh Vegetable Market.Journal of Agricultural and Applied Economics 28,2(1996):433–43.
Florida Agricultural Statistics Service (FASS). Commercial Citrus Inventory. Orlando, FL. Various issues.
McCarl, B.A., and Spreen, T.H.. “Price Endogenous Mathematical Programming as a Tool for Sector Analysis.” American Journal of Agricultural Economics 62(1980):87102.
Pana-Cryan, R.A Model of the World Market for Fresh and Processed Grapefruit.” Unpublished M.S. thesis, Food and Resource Economics Department, University of Florida, Gainesville, FL, 1991.
Spreen, T.H.Projections of World Production and Consumption of Citrus to 2010.” Proceedings of the International Citrus Symposium 2001 (organized by the Ministry of Agriculture, People's Republic of China, and the Food and Agricultural Organization, United Nations, Beijing, China), 2001, pp. 152–64.
Spreen, T.H., Paggi, M., Flambert, A., and Fernandes, W. Jr. “An Analysis of the EU Banana Trade Regime.” Selected poster presented at the American Agricultural Economics Association meetings, Tampa, FL, August 2000. Electronic abstract at Internet site:
Spreen, T.H., Brewster, C., and Brown, M.G.. “The Free Trade Area of the Americas and the World Processed Orange Market.” Journal of Agricultural and Applied Economics 35(2003): 107–26.
Spreen, T.H., McCarl, B.A., and White, K.T.. “Modeling the Cattle Subsector: A Demonstration in Guyana.” Canadian Journal of Agricultural Economics 28(1980: 1732.
Takayama, T., and Judge, G.G.. Spatial and Temporal Price and Allocation Models. Amsterdam: North Holland, 1971.

Price Endogenous Mathematical Programming Models and Trade Analysis

  • Thomas H. Spreen (a1)


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