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Cost Functions and Duality for Stochastic Technologies


  • Robert G. Chambers
  • John Quiggin


Cost functions dual to stochastic production technologies are derived and their properties are discussed. These cost functions are shown to be consistent with expected-utility maximization without placing serious structural restrictions on the underlying technology. Copyright 1998, Oxford University Press.

Suggested Citation

  • Robert G. Chambers & John Quiggin, 1998. "Cost Functions and Duality for Stochastic Technologies," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 80(2), pages 288-295.
  • Handle: RePEc:oup:ajagec:v:80:y:1998:i:2:p:288-295

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    References listed on IDEAS

    1. Machina, Mark J, 1982. ""Expected Utility" Analysis without the Independence Axiom," Econometrica, Econometric Society, vol. 50(2), pages 277-323, March.
    2. Chambers,Robert G., 1988. "Applied Production Analysis," Cambridge Books, Cambridge University Press, number 9780521314275, March.
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    Cited by:

    1. Chambers, Robert G. & Quiggin, John, 1999. "Production Insurance and Input Use: An Analytical Framework," Working Papers 197859, University of Maryland, Department of Agricultural and Resource Economics.
    2. Moschini, GianCarlo, 2001. "Production risk and the estimation of ex-ante cost functions," Journal of Econometrics, Elsevier, vol. 100(2), pages 357-380, February.
    3. Hurley, Terrance M., 2016. "Slutsky, Let Me Introduce You to Arrow-Pratt: Competitive Price Effects with Uncertain Production," Staff Papers 250204, University of Minnesota, Department of Applied Economics.
    4. Moschini, GianCarlo, 1999. "Production Risk and the Estimation of Ex-ante Cost Functions," ISU General Staff Papers 199903010800001316, Iowa State University, Department of Economics.
    5. Chambers, Robert G. & Quiggin, John, 2009. "Separability of stochastic production decisions from producer risk preferences in the presence of financial markets," Journal of Mathematical Economics, Elsevier, vol. 45(11), pages 730-737, December.
    6. Christopher O’Donnell & Robert Chambers & John Quiggin, 2010. "Efficiency analysis in the presence of uncertainty," Journal of Productivity Analysis, Springer, vol. 33(1), pages 1-17, February.
    7. Jesse B. Tack & Rulon D. Pope & Jeffrey T. LaFrance & Ricardo H. Cavazos, 2015. "Modelling an aggregate agricultural panel with application to US farm input demands," European Review of Agricultural Economics, Foundation for the European Review of Agricultural Economics, vol. 42(3), pages 371-396.
    8. Cherchye, L. & Post, G.T., 2001. "Methodological Advances in Dea," ERIM Report Series Research in Management ERS-2001-53-F&A, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    9. John Quiggin & Robert G. Chambers, 2006. "The state-contingent approach to production under uncertainty ," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 50(2), pages 153-169, June.
    10. Robert G. Chambers & John Quiggin, 2005. "Cost Minimization and Asset Pricing," Risk & Uncertainty Working Papers WP3R05, Risk and Sustainable Management Group, University of Queensland.
    11. Just, Richard E., 2003. "Risk research in agricultural economics: opportunities and challenges for the next twenty-five years," Agricultural Systems, Elsevier, vol. 75(2-3), pages 123-159.
    12. Serra, Teresa & Oude Lansink, Alfons, 2014. "Measuring the impacts of production risk on technical efficiency: A state-contingent conditional order-m approach," European Journal of Operational Research, Elsevier, vol. 239(1), pages 237-242.
    13. Stefanos Nastis & Thomas Crocker, 2007. "A note on parental and child risk valuation," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 38(1), pages 119-134, September.
    14. Just, Richard E., 2000. "Some Guiding Principles for Empirical Production Research in Agriculture," Agricultural and Resource Economics Review, Cambridge University Press, vol. 29(02), pages 138-158, October.
    15. Yin, Pengzhen & Sun, Jiasen & Chu, Junfei & Liang, Liang, 2016. "Evaluating the environmental efficiency of a two-stage system with undesired outputs by a DEA approach: An interest preference perspectiveAuthor-Name: Wu, Jie," European Journal of Operational Research, Elsevier, vol. 254(3), pages 1047-1062.
    16. Jaenicke, Edward C. & Larson, James A., 2001. "Production Risk Revisited In A Stochastic Frontier Framework: Evaluating Noise And Inefficiency In Cover Crop Systems," 2001 Annual meeting, August 5-8, Chicago, IL 20477, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    17. Serra, Teresa & Chambers, Robert G. & Oude Lansink, Alfons, 2014. "Measuring technical and environmental efficiency in a state-contingent technology," European Journal of Operational Research, Elsevier, vol. 236(2), pages 706-717.
    18. Quiggin, John & Chambers, Robert G., 2005. "The state-contingent approach to production and uncertainty," Risk and Sustainable Management Group Working Papers 151168, University of Queensland, School of Economics.
    19. John Quiggin & Robert G. Chambers, 2004. "Drought policy: a graphical analysis," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 48(2), pages 225-251, June.
    20. Xavier Vollenweider, 2014. "A simple framework for the estimation of climate exposure," GRI Working Papers 158, Grantham Research Institute on Climate Change and the Environment.
    21. Shankar, Sriram, 2012. "Production economics in the presence of risk," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 56(4), December.
    22. Robert Chambers & Teresa Serra & Spiro Stefanou, 2015. "Using ex ante output elicitation to model state-contingent technologies," Journal of Productivity Analysis, Springer, vol. 43(1), pages 75-83, February.
    23. Yang, Sansi & Shumway, C. Richard, 2015. "Asset Fixity under State-Contingent Production Uncertainty," 2015 AAEA & WAEA Joint Annual Meeting, July 26-28, San Francisco, California 205256, Agricultural and Applied Economics Association;Western Agricultural Economics Association.
    24. Lusk, Jayson L. & Featherstone, Allen M. & Marsh, Thomas L. & Abdulkadri, Abdullahi O., 2002. "Empirical properties of duality theory," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 46(1), March.

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