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The Benefit Function Approach to Modeling Price-Dependent Demand Systems: An Application of Duality Theory

  • Keith R. McLaren
  • K. K. Gary Wong

In this article, we advocate more extensive use of the benefit function in specifying price-dependent or inverse demand models. We demonstrate how duality theory may be used to establish the interrelationships between the Marshallian (or Hicksian) inverse demands and Luenberger’s adjusted price functions, allowing estimable inverse demands to be derived directly from a benefit function. We estimate two systems of inverse demands for Japanese quarterly fish consumption. Results indicate that the procedures and methods employed here appear promising, and may prove beneficial for quantity and welfare analysis when modeling systems of inverse demand functions. Copyright 2009, Oxford University Press.

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File URL: http://hdl.handle.net/10.1111/j.1467-8276.2009.01318.x
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Article provided by Agricultural and Applied Economics Association in its journal American Journal of Agricultural Economics.

Volume (Year): 91 (2009)
Issue (Month): 4 ()
Pages: 1110-1123

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Handle: RePEc:oup:ajagec:v:91:y:2009:i:4:p:1110-1123
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  1. Moschini, GianCarlo & Moro, D., 1994. "Autocorrelation Specification in Singular Equation Systems," Staff General Research Papers 11134, Iowa State University, Department of Economics.
  2. Hoanjae Park & Walter N. Thurman, 1999. "On Interpreting Inverse Demand Systems: A Primal Comparison of Scale Flexibilities and Income Elasticities," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 81(4), pages 950-958.
  3. Pollak, R.A. & Wales, T.J., 1990. "The Likelihood Dominance Criterion: A New Approach To Model Selection," Working Papers 90-10, University of Washington, Department of Economics.
  4. Hanoch, Giora, 1975. "Production and Demand Models with Direct or Indirect Implicit Additivity," Econometrica, Econometric Society, vol. 43(3), pages 395-419, May.
  5. Eales, James S. & Unnevehr, Laurian J., 1994. "The inverse almost ideal demand system," European Economic Review, Elsevier, vol. 38(1), pages 101-115, January.
  6. Chambers, Robert G. & Chung, Yangho & Fare, Rolf, 1996. "Benefit and Distance Functions," Journal of Economic Theory, Elsevier, vol. 70(2), pages 407-419, August.
  7. Lewbel, Arthur, 1991. "The Rank of Demand Systems: Theory and Nonparametric Estimation," Econometrica, Econometric Society, vol. 59(3), pages 711-30, May.
  8. James Eales & Catherine Durham & Cathy R. Wessells, 1997. "Generalized Models of Japanese Demand for Fish," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 79(4), pages 1153-1163.
  9. Deaton, Angus, 1979. "The Distance Function in Consumer Behaviour with Applications to Index Numbers and Optimal Taxation," Review of Economic Studies, Wiley Blackwell, vol. 46(3), pages 391-405, July.
  10. Robert H. Beach & Matthew T. Holt, 2001. "Incorporating Quadratic Scale Curves in Inverse Demand Systems," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 83(1), pages 230-245.
  11. Holt, Matthew T., 2002. "Inverse demand systems and choice of functional form," European Economic Review, Elsevier, vol. 46(1), pages 117-142, January.
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