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A Generalized Utility Model with Binding Non-Negativity Constraints: Demand for Beer

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  • Xiaonan Liu
  • Jeffrey T. LaFrance
  • Hayley H. Chouinard
  • Thomas L. Marsh

Abstract

We propose a Generalized Quadratic Utility (GQU) model for an incomplete demand system with binding non-negativity constraints which is flexible in income and price effects. The model accounts for zero consumption using choke prices identified by Kuhn-Tucker conditions. The GQU demand system can overcome the analytical and computational difficulties of the Kuhn-Tucker approach. Applying a homothetic AIDS specification, we estimate the demand for ale and lager beers and find that household income, age, presence of child, and prices play significant roles in beer consumption. The own-price elasticities are greater than unity. The cross-price elasticities suggest substitutes between ales and lagers.

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Paper provided by Job Market Papers in its series 2013 Papers with number pli830.

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Date of creation: 02 Dec 2013
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Handle: RePEc:jmp:jm2013:pli830

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  1. J. Scott Shonkwiler & Steven T. Yen, 1999. "Two-Step Estimation of a Censored System of Equations," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 81(4), pages 972-982.
  2. Lee, Lung-Fei & Pitt, Mark M., 1987. "Microeconometric models of rationing, imperfect markets, and non-negativity constraints," Journal of Econometrics, Elsevier, vol. 36(1-2), pages 89-110.
  3. Heckman, James, 2013. "Sample selection bias as a specification error," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 31(3), pages 129-137.
  4. Jeremy W. Bray & Brett R. Loomis & Mark Engelen, 2009. "You save money when you buy in bulk: does volume-based pricing cause people to buy more beer?," Health Economics, John Wiley & Sons, Ltd., vol. 18(5), pages 607-618.
  5. Cragg, John G, 1971. "Some Statistical Models for Limited Dependent Variables with Application to the Demand for Durable Goods," Econometrica, Econometric Society, vol. 39(5), pages 829-44, September.
  6. Hausman, Jerry A, 1981. "Exact Consumer's Surplus and Deadweight Loss," American Economic Review, American Economic Association, vol. 71(4), pages 662-76, September.
  7. LaFrance, Jeffrey T., 1985. "Linear demand functions in theory and practice," Journal of Economic Theory, Elsevier, vol. 37(1), pages 147-166, October.
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