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Duality Theory for Variable Costs in Joint Production

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Author Info
Jeffrey LaFrance
Rulon Pope () (School of Economic Sciences, Washington State University)

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Abstract

Duality methods for incomplete systems of consumer demand equations are adapted to the dual structure of variable cost functions in joint production. This allows the identification of necessary and sufficient restrictions on technology and cost so that the conditional factor demands can be written as functions of input prices, fixed inputs, and cost. These are observable when the variable inputs are chosen and committed to production, hence the identified restrictions allow ex ante conditional demands to be studied using observable data. This class of production technologies is consistent with all von Neumann-Morgenstern utility functions when ex post production is uncertain.

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File URL: http://www.ses.wsu.edu/PDFFiles/WorkingPapers/LaFrance/WP2009-02-LP_DTiJP.pdf
File Format: application/pdf
File Function: First version, 2008
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Publisher Info
Paper provided by School of Economic Sciences, Washington State University in its series Working Papers with number 2009-02.

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Length: 14 pages
Date of creation: Dec 2008
Date of revision:
Handle: RePEc:wsu:wpaper:lafrance-4

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Related research
Keywords: Joint production; variable cost; duality theory;

Find related papers by JEL classification:
C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables
D2 - Microeconomics - - Production and Organizations
D8 - Microeconomics - - Information, Knowledge, and Uncertainty

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. LaFrance, Jeffrey T., 2004. "Integrability of the linear approximate almost ideal demand system," Economics Letters, Elsevier, vol. 84(3), pages 297-303, September. [Downloadable!] (restricted)
    Other versions:
  2. Lafrance, Jeffrey T., 1990. "Incomplete Demand Systems And Semilogarithmic Demand Models," Australian Journal of Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 34(02), August. [Downloadable!]
  3. Hall, Robert E, 1973. "The Specification of Technology with Several Kinds of Output," Journal of Political Economy, University of Chicago Press, vol. 81(4), pages 878-92, July-Aug.. [Downloadable!] (restricted)
  4. Lau, Lawrence J, 1972. "Profit Functions of Technologies with Multiple Inputs and Outputs," The Review of Economics and Statistics, MIT Press, vol. 54(3), pages 281-89, August. [Downloadable!] (restricted)
  5. Lopez, Ramon E, 1985. "Structural Implications of a Class of Flexible Functional Forms for Profit Functions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(3), pages 593-601, October. [Downloadable!] (restricted)
  6. Epstein, Larry G, 1982. "Integrability of Incomplete Systems of Demand Functions," Review of Economic Studies, Blackwell Publishing, vol. 49(3), pages 411-25, July. [Downloadable!] (restricted)
  7. repec:cup:cbooks:9780521622448 is not listed on IDEAS
  8. Blackorby, Charles & Primont, Daniel & Robert Russell, R., 1977. "Dual price and quantity aggregation," Journal of Economic Theory, Elsevier, vol. 14(1), pages 130-148, February. [Downloadable!] (restricted)
  9. LaFrance, Jeffrey T., 1985. "Linear demand functions in theory and practice," Journal of Economic Theory, Elsevier, vol. 37(1), pages 147-166, October. [Downloadable!] (restricted)
  10. Hausman, Jerry A, 1981. "Exact Consumer's Surplus and Deadweight Loss," American Economic Review, American Economic Association, vol. 71(4), pages 662-76, September. [Downloadable!] (restricted)
  11. Pope, Rulon D. & Just, Richard E., 1996. "Empirical implementation of ex ante cost functions," Journal of Econometrics, Elsevier, vol. 72(1-2), pages 231-249. [Downloadable!] (restricted)
  12. Jean-Paul Chavas, 2008. "A Cost Approach to Economic Analysis Under State-Contingent Production Uncertainty," American Journal of Agricultural Economics, American Agricultural Economics Association, vol. 90(2), pages 435-446, 05. [Downloadable!] (restricted)
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This page was last updated on 2009-11-23.


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