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Stochastic Dynamic Duality: Theory and Empirical Applicability

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  • C. Robert Taylor

Abstract

This paper explores duality relationships for a broad class of stochastic dynamic production problems. Assuming that the decision maker maximizes the expected present value of profit, it is shown that product supply, negative factor demand, and negative quasifixed factor acquisition equations cannot be directly obtained by partial differentiation of the indirect profit function if price expectations have a Markovian structure. Consequently, empirical application of duality to many stochastic dynamic problems is quite complex and may be more difficult than a primal approach to the problem.

Suggested Citation

  • C. Robert Taylor, 1984. "Stochastic Dynamic Duality: Theory and Empirical Applicability," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 66(3), pages 351-357.
    • Handle: RePEc:oup:ajagec:v:66:y:1984:i:3:p:351-357.
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    File URL: http://hdl.handle.net/10.2307/1240802
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    Cited by:

    1. Burt, Oscar R., 1989. "Irreversible Supply Functions: Concepts And Estimation," Working Papers 225827, University of California, Davis, Department of Agricultural and Resource Economics.
    2. Weersink, Alfons & Howard, Wayne H., 1990. "Regional Adjustment Response In The U.S. Dairy Sector To Changes In Milk Support Price," Western Journal of Agricultural Economics, Western Agricultural Economics Association, vol. 15(1), pages 1-9, July.
    3. Paris, Quirino & Caputo, Michael R., 1995. "The Rhetoric Of Duality," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 20(1), pages 1-20, July.
    4. Wall, Charles A. & Fisher, Brian S., 1988. "Supply Response and the Theory of Production and Profit Functions," Review of Marketing and Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 56(03), pages 1-22, December.
    5. Eswaramoorthy, K., 1991. "U.S. livestock production and factor demand: a multiproduct dynamic dual approach," ISU General Staff Papers 1991010108000010523, Iowa State University, Department of Economics.
    6. D. V. Gordon, 1990. "Negative Supply Response And The Role Of Price Expectations In A Two‐Period Model Of Cattle Production," Journal of Agricultural Economics, Wiley Blackwell, vol. 41(2), pages 184-195, May.
    7. Buongiorno, Joseph & Zhou, Mo, 2011. "Further generalization of Faustmann's formula for stochastic interest rates," Journal of Forest Economics, Elsevier, vol. 17(3), pages 248-257, August.
    8. Lusk, Jayson L. & Featherstone, Allen M. & Marsh, Thomas L. & Abdulkadri, Abdullahi O., 1997. "Empirical properties of duality theory," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 46(1), pages 1-24.
    9. Aradhyula, Satheesh Venkata, 1989. "Policy structure, output supply and input demand for US crops," ISU General Staff Papers 198901010800009909, Iowa State University, Department of Economics.

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