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Models Based on Positive Mathematical Programming: State of the Art and Further Extensions

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  • Heckelei, Thomas
  • Britz, Wolfgang

Abstract

Mathematical 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 current agricultural policy measures related to production activity levels. The introduction of Positive Mathematical Programming (PMP) addressed problems with plausibility of simulated behaviour and lack of empirical validation of these models. This paper reviews the development of PMP in its various forms and takes a look at approaches beyond PMP contributing to the quest for empirically specified programming models.

Suggested Citation

  • Heckelei, Thomas & Britz, Wolfgang, 2005. "Models Based on Positive Mathematical Programming: State of the Art and Further Extensions," 89th Seminar, February 2-5, 2005, Parma, Italy 234607, European Association of Agricultural Economists.
  • Handle: RePEc:ags:eaae89:234607
    DOI: 10.22004/ag.econ.234607
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    References listed on IDEAS

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    1. Thomas Heckelei & Hendrik Wolff, 2003. "Estimation of constrained optimisation models for agricultural supply analysis based on generalised maximum entropy," European Review of Agricultural Economics, Oxford University Press and the European Agricultural and Applied Economics Publications Foundation, vol. 30(1), pages 27-50, March.
    2. Heckelei, Thomas & Britz, Wolfgang, 2000. "Positive Mathematical Programming with Multiple Data Points: A Cross-Sectional Estimation Procedure," Cahiers d'Economie et de Sociologie Rurales (CESR), Institut National de la Recherche Agronomique (INRA), vol. 57.
    3. Wolfgang Britz & Thomas Heckelei & Hendrik Wolff, 2003. "Symmetric Positive Equilibrium Problem: A Framework for Rationalizing Economic Behavior with Limited Information: Comment," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 85(4), pages 1078-1081.
    4. Horner, G.L. & Corman, J. & Howitt, R.E. & Carter, C.A. & MacGregor, R.J., 1992. "The Canadian Regional Agriculture Model Structure, Operation and Development," Papers 1-92, Gouvernement du Canada - Agriculture Canada.
    5. Ottmar Röhm & Stephan Dabbert, 2003. "Integrating Agri-Environmental Programs into Regional Production Models: An Extension of Positive Mathematical Programming," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 85(1), pages 254-265.
    6. Richard E. Howitt, 1995. "Positive Mathematical Programming," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 77(2), pages 329-342.
    7. Howitt, Richard E. & Mean, Phillippe, 1983. "A Positive Approach to Microeconomic Programming Models," Working Papers 225710, University of California, Davis, Department of Agricultural and Resource Economics.
    8. Jansson, Torbjorn, 2005. "Two ways of estimating a transport model," 2005 Annual meeting, July 24-27, Providence, RI 19473, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    9. Barkaoui, Ahmed & Butault, Jean-Pierre, 2000. "Cereals and Oilseeds Supply within the EU, under AGENDA 2000: A Positive Mathematical Programming Application," Agricultural Economics Review, Greek Association of Agricultural Economists, vol. 1(2), pages 1-12, August.
    10. Golan, Amos & Judge, George G. & Miller, Douglas, 1996. "Maximum Entropy Econometrics," Staff General Research Papers Archive 1488, Iowa State University, Department of Economics.
    11. Quirino Paris, 2001. "Symmetric Positive Equilibrium Problem: A Framework for Rationalizing Economic Behavior with Limited Information," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 83(4), pages 1049-1061.
    12. Alexandre Gohin & Frédéric Chantreuil, 1999. "La programmation mathématique positive dans les modèles d'exploitation agricole : Principes et importance du calibrage," Cahiers d'Economie et Sociologie Rurales, INRA Department of Economics, vol. 52, pages 59-78.
    13. Polome, Philippe & Fernagut, Bruno & Harmignie, Olivier & Frahan, Bruno Henry de, 2005. "Multi-input Multi-output Farm-level Cost Function: A Comparison of Least Squares and Entropy Estimators," 2005 International Congress, August 23-27, 2005, Copenhagen, Denmark 24727, European Association of Agricultural Economists.
    14. Jansson, Torbjorn, 2005. "Two Ways of Estimating a Transport Model," Discussion Papers 18787, University of Bonn, Institute for Food and Resource Economics.
    15. Quirino Paris & Richard E. Howitt, 1998. "An Analysis of Ill-Posed Production Problems Using Maximum Entropy," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 80(1), pages 124-138.
    16. Michael D. Rosen & Richard J. Sexton, 1993. "Irrigation Districts and Water Markets: An Application of Cooperative Decision-Making Theory," Land Economics, University of Wisconsin Press, vol. 69(1), pages 39-53.
    17. Bruce A. McCarl, 1982. "Cropping Activities in Agricultural Sector Models: A Methodological Proposal," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 64(4), pages 768-772.
    18. Richard E. Howitt, 1995. "A Calibration Method For Agricultural Economic Production Models," Journal of Agricultural Economics, Wiley Blackwell, vol. 46(2), pages 147-159, May.
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