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Symmetric Positive Equilibrium Problem: A Framework for Rationalizing Economic Behavior with Limited Information

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  • Quirino Paris

Abstract

The PMP methodology is extended to deal with many economic units, self-selection arising from heterogeneous economic behavior, and multiple limiting inputs. The novel structure for the analysis of this type of problems acquires the name “symmetric positive equilibrium problem.” This methodology is articulated in three phases that parallel those one of positive mathematical programming. The recovery of a cost function that calibrates the base-year decisions of each economic unit is realized within a maximum entropy framework. The methodology is illustrated by the analysis of a sample of Italian farms that operate under the complex policy mandates of the European Union. Copyright 2001, Oxford University Press.

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  • 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.
    • Handle: RePEc:oup:ajagec:v:83:y:2001:i:4:p:1049-1061
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    Cited by:

    1. Paris, Quirino, 2001. "Dynamic Positive Equilibrium Problem," Working Papers 11956, University of California, Davis, Department of Agricultural and Resource Economics.
    2. Arfini, Filippo & Donati, Michele & Paris, Quirino, 2008. "Innovation in Estimation of Revenue and Cost Functions in PMP Using FADN Information at Regional Level," 2008 International Congress, August 26-29, 2008, Ghent, Belgium 44008, European Association of Agricultural Economists.
    3. Arfini, Filippo & Donati, Michele & Zuppiroli, Marco & Paris, Quirino, 2005. "Positive Mathematical Programming Approach for Ex-post Evaluation of Set Aside in Italy," 89th Seminar, February 2-5, 2005, Parma, Italy 231828, European Association of Agricultural Economists.
    4. Gocht, Alexander, 2005. "Assessment of Simulation Behavior of Different Mathematical Programming Approaches," 89th Seminar, February 2-5, 2005, Parma, Italy 232598, European Association of Agricultural Economists.
    5. Heckelei, Thomas & Mittelhammer, Ronald C. & Jansson, Torbjorn, 2008. "A Bayesian Alternative To Generalized Cross Entropy Solutions For Underdetermined Econometric Models," Discussion Papers 56973, University of Bonn, Institute for Food and Resource Economics.
    6. 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.
    7. Affuso, Ermanno & Hite, Diane, 2013. "A model for sustainable land use in biofuel production: An application to the state of Alabama," Energy Economics, Elsevier, vol. 37(C), pages 29-39.
    8. Carpentier, Alain & Letort, Elodie, 2010. "Simple econometric models for short term production choices in cropping systems," Working Papers 210387, Institut National de la recherche Agronomique (INRA), Departement Sciences Sociales, Agriculture et Alimentation, Espace et Environnement (SAE2).
    9. Arata, Linda & Donati, Michele & Sckokai, Paolo & Arfini, Filippo, 2014. "Incorporating risk in a positive mathematical programming framework: a new methodological approach," 2014 International Congress, August 26-29, 2014, Ljubljana, Slovenia 182659, European Association of Agricultural Economists.
    10. Mohammad Ali Asaadi & Seyed Abolghasem Mortazavi & Omid Zamani & Gholam Hassan Najafi & Talal Yusaf & Seyed Salar Hoseini, 2019. "The Impacts of Water Pricing and Non-Pricing Policies on Sustainable Water Resources Management: A Case of Ghorveh Plain at Kurdistan Province, Iran," Energies, MDPI, vol. 12(14), pages 1-16, July.
    11. Frahan, Bruno Henry de, 2005. "PMP, Extensions and Alternative Methods: Introductory Review of the State of the Art," 2005 International Congress, August 23-27, 2005, Copenhagen, Denmark 24537, European Association of Agricultural Economists.
    12. 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.
    13. Fragoso, R. & Marques, C. & Lucas, M.R. & Martins, M.B. & Jorge, R., 2011. "The economic effects of common agricultural policy on Mediterranean montado/dehesa ecosystem," Journal of Policy Modeling, Elsevier, vol. 33(2), pages 311-327, March.
    14. Arfini, Filippo & Donati, Michele & Grossi, L. & Paris, Quirino, 2008. "Revenue and Cost Functions in PMP: a Methodological Integration for a Territorial Analysis of CAP," 107th Seminar, January 30-February 1, 2008, Sevilla, Spain 6636, European Association of Agricultural Economists.

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