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Effective global regularity and empirical modelling of direct, inverse, and mixed demand systems


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


This paper utilizes the notion of `effective global regularity' and the intuition stemming from Cooper and McLaren (1996)'s General Exponential Form to develop a family of `composite' (product and ratio) direct, inverse and mixed demand systems. Apart from having larger regularity regions, the resulting specifications are also of potentially arbitrary rank, which can better approximate non-linear Engel curves. We also make extensive use of duality theory and a numerical inversion estimation method to rectify the endogeneity problem encountered in the estimation of the mixed demand systems. We illustrate the techniques by estimating different types of demand systems for Japanese quarterly meat and fish consumption.

Suggested Citation

  • Keith R. McLaren & K.K. Gary Wong, 2009. "Effective global regularity and empirical modelling of direct, inverse, and mixed demand systems," Canadian Journal of Economics, Canadian Economics Association, vol. 42(2), pages 749-770, May.
  • Handle: RePEc:cje:issued:v:42:y:2009:i:2:p:749-770

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    References listed on IDEAS

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    Cited by:

    1. Jesse Tack & Rulon Pope & Jeffrey LaFrance & Timothy Graciano & Scott Colby, 2012. "Intertemporal Risk Management in Agriculture," Monash Economics Working Papers 16-12, Monash University, Department of Economics.
    2. H. Youn Kim & Keith R. McLaren & K.K. Gary Wong, 2014. "Consumer Demand, Consumption, and Asset Pricing: An Integrated Analysis," Monash Econometrics and Business Statistics Working Papers 4/14, Monash University, Department of Econometrics and Business Statistics.
    3. Keith R. McLaren & Ou Yang, 2016. "A class of demand systems satisfying global regularity and having complete rank flexibility," Empirical Economics, Springer, vol. 51(1), pages 315-337, August.
    4. LaFrance, Jeffrey T., 2008. "The structure of US food demand," Journal of Econometrics, Elsevier, vol. 147(2), pages 336-349, December.
    5. Jeffrey LaFrance & Rulon Pope & Jesse Tack, 2011. "Risk Response in Agriculture," NBER Chapters,in: The Intended and Unintended Effects of U.S. Agricultural and Biotechnology Policies, pages 143-186 National Bureau of Economic Research, Inc.
    6. Jeffrey LaFrance & Rulon Pope, 2008. "The Generalized Quadratic Expenditure System," Working Papers 2008-27, School of Economic Sciences, Washington State University.
    7. H. Kim & Keith McLaren & K. Wong, 2013. "Empirical demand systems incorporating intertemporal consumption dynamics," Empirical Economics, Springer, vol. 45(1), pages 349-370, August.
    8. Eldon V. Ball & Ricardo Cavazos & Jeffrey T. LaFrance & Rulon Pope & Jesse Tack, 2010. "Aggregation and Arbitrage in Joint Production," Monash Economics Working Papers archive-22, Monash University, Department of Economics.

    More about this item

    JEL classification:

    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis


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