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Sufficient Conditions for Aggregation of Linear Programming Models

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  • Quirino Paris
  • Gordon C. Rausser

Abstract

Three sets of sufficient conditions for exact aggregation of linear programming models are discussed. They provide a relaxation of the proportionality and dimensionality conditions among elements of the micro problems required by R. H. Day's specification. For correct aggregation it is not necessary to classify firms according to "homogeneity" criteria.

Suggested Citation

  • Quirino Paris & Gordon C. Rausser, 1973. "Sufficient Conditions for Aggregation of Linear Programming Models," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 55(4_Part_1), pages 659-666.
    • Handle: RePEc:oup:ajagec:v:55:y:1973:i:4_part_1:p:659-666.
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    File URL: http://hdl.handle.net/10.2307/1238355
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    Citations

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    Cited by:

    1. Kennedy, John O.S., 1975. "Using Regression Analysis To Reduce Aggregation Bias In Linear Programming Supply Models," Australian Journal of Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 19(1), pages 1-11, April.
    2. Shumway, C. Richard & Talpaz, Hovav, 1977. "Verification Of Linear Programming Solutions, With Emphasis On Supply Implications," Southern Journal of Agricultural Economics, Southern Agricultural Economics Association, vol. 9(2), pages 1-8, December.
    3. Fox, Virginia A., 1976. "Economic Research Of Interest To Agriculture, 1973-1975," Economic Research of Interest to Agriculture 7277, University of California, Berkeley, Department of Agricultural and Resource Economics.
    4. Jansen, Hans G. P. & Stoorvogel, Jetse J., 1998. "Quantification of aggregation bias in regional agricultural land use models: application to Guacimo county, Costa Rica," Agricultural Systems, Elsevier, vol. 58(3), pages 417-439, November.
    5. Oyarzabal-Tamargo, Francisco & Young, Robert A., 1977. "The Colorado River Salinity Problem: Direct Economic Damages In Mexico," Western Journal of Agricultural Economics, Western Agricultural Economics Association, vol. 1(1), pages 1-9, June.
    6. McCarl, Bruce A., 1987. "Aggregation Of Heterogeneous Firms," 1987 Annual Meeting, August 2-5, East Lansing, Michigan 269919, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    7. Onal, Hayri & McCarl, Bruce A., 1991. "Aggregation In Mathematical Programming Sector Models And Model Stability," 1991 Annual Meeting, August 4-7, Manhattan, Kansas 271241, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    8. P. C. Abbott & W. E. Tyner & M. J. Roth & G. T. Rafsnider, 1991. "The Economics Of ‐ Wheat Production In Morocco," Journal of Agricultural Economics, Wiley Blackwell, vol. 42(1), pages 23-32, January.

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