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Primal/Dual Positive Math Programming: Illustrated Through an Evaluation of the Impacts of Market Resistance to Genetically Modified Grains

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  • Paul V. Preckel
  • David Harrington
  • Robert Dubman

Abstract

The goal of Howitt's positive mathematical programming procedure is to calibrate a mathematical programming model so that it will reproduce a set of base data for the primal variables. This article develops an analogous procedure allowing one to specify the levels of both primal and dual variables. This article also sheds light on a potential ambiguity of Howitt's procedure (with attendant policy evaluation impacts). The procedure is illustrated through application to an equilibrium displacement model focused on evaluating the consequences of the reluctance of U.S. trading partners to accept genetically modified crop products for U.S. production patterns and net farm income. Copyright 2002, Oxford University Press.

Suggested Citation

  • Paul V. Preckel & David Harrington & Robert Dubman, 2002. "Primal/Dual Positive Math Programming: Illustrated Through an Evaluation of the Impacts of Market Resistance to Genetically Modified Grains," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 84(3), pages 679-690.
  • Handle: RePEc:oup:ajagec:v:84:y:2002:i:3:p:679-690
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    File URL: http://hdl.handle.net/10.1111/1467-8276.00327
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    Citations

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    Cited by:

    1. C M Yates, 2007. "A positive approach to estimating the weights for quadratic multiple objective programming," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(10), pages 1332-1340, October.
    2. Harrington, David H. & Jefferson-Moore, Kenrett Y., 2006. "The Distribution of Rents in Supply Chain Industries: The Case of High Oil Corn," 2006 Annual Meeting, August 12-18, 2006, Queensland, Australia 25579, International Association of Agricultural Economists.
    3. Blanco Fonseca, Maria & Iglesias Martinez, Eva, 2005. "Modelling New EU Agricultural Policies: Global Guidelines, Local Strategies," 89th Seminar, February 2-5, 2005, Parma, Italy 232644, European Association of Agricultural Economists.
    4. Capitanio, Fabian, 2008. "Risk Management Through Insurance And Environmental Externalities From Agricultural Input Use: An Italian Case Study," 109th Seminar, November 20-21, 2008, Viterbo, Italy 44834, European Association of Agricultural Economists.
    5. Brady, Mark, 2003. "The relative cost-efficiency of arable nitrogen management in Sweden," Ecological Economics, Elsevier, vol. 47(1), pages 53-70, November.
    6. Harrington, David H. & Dubman, Robert, 2008. "Equilibrium Displacement Mathematical Programming Models: Methodology and Model of the U.S. Agricultural Sector," Technical Bulletins 184313, United States Department of Agriculture, Economic Research Service.
    7. Gunter, Allison & Goemans, Chris & Pritchett, James G. & Thilmany, Dawn D., 2012. "Linking an Equilibrium Displacement Mathematical Programming Model and an Input-Output Model to Estimate the Impacts of Drought: An Application to Southeast Colorado," 2012 Annual Meeting, August 12-14, 2012, Seattle, Washington 124930, Agricultural and Applied Economics Association.
    8. Musshoff, Oliver & Hirschauer, Norbert, 2007. "What benefits are to be derived from improved farm program planning approaches? - The role of time series models and stochastic optimization," Agricultural Systems, Elsevier, vol. 95(1-3), pages 11-27, December.
    9. Holderieath, Jason, 2016. "Valuing the Absence of Feral Swine for US Corn, Soybean, Wheat, Rice, and Peanut Producers and Consumers. A Partial Equilibrium Approach," 2016 Annual Meeting, July 31-August 2, Boston, Massachusetts 235867, Agricultural and Applied Economics Association.
    10. Lana Awada & Peter W. B. Phillips, 2021. "The distribution of returns from land efficiency improvement in multistage production systems," Canadian Journal of Agricultural Economics/Revue canadienne d'agroeconomie, Canadian Agricultural Economics Society/Societe canadienne d'agroeconomie, vol. 69(1), pages 73-92, March.
    11. Yagi, Hironori, 2008. "An Empirical Application of the Linear Programming Model for Agricultural Land Use Planning through the Valuation of Negative Externalities Caused by Abandoning Farmland in Marginal Areas," Japanese Journal of Agricultural Economics (formerly Japanese Journal of Rural Economics), Agricultural Economics Society of Japan (AESJ), vol. 10, pages 1-11.
    12. Johansson, Robert & Peters, Mark & House, Robert, 2007. "Regional Environment and Agriculture Programming Model," Technical Bulletins 184314, United States Department of Agriculture, Economic Research Service.
    13. Gohar, Abdelaziz A. & Cashman, Adrian, 2016. "A methodology to assess the impact of climate variability and change on water resources, food security and economic welfare," Agricultural Systems, Elsevier, vol. 147(C), pages 51-64.

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