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Incomplete Demand Systems, Corner Solutions, and Welfare Measurement

Published online by Cambridge University Press:  15 September 2016

Roger H. von Haefen*
Affiliation:
Department of Agricultural and Resource Economics at North Carolina State University in Raleigh, North Carolina
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Abstract

This paper demonstrates how corner solutions raise difficulties for the specification, estimation, and use of incomplete demand systems for welfare measurement with disaggregate consumption data, as is common in the outdoor recreation literature. A simple analytical model of consumer behavior is used to elucidate the potential biases for welfare measurement arising from modeling the demand for M goods as a function of M + N prices (N > 1) and income when individuals do not consume all goods in strictly positive quantities. Results from a Monte Carlo experiment suggest that these biases can be substantial for large-scale policy shocks when prices are highly correlated.

Type
Contributed Papers
Copyright
Copyright © 2010 Northeastern Agricultural and Resource Economics Association 

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References

Boardman, A., Greenberg, D., Vining, A., and Weimer, D. 2006. Cost Benefit Analysis: Concepts and Practice (3rd edition). Upper Saddle River, NJ: Prentice Hall.Google Scholar
Bockstael, N.E., Hanemann, W.M., and Strand, I.E. 1986. “Measuring the Benefits of Water Quality Improvements Using Recreation Demand Models.” Report prepared for the U.S. Environmental Protection Agency under Cooperative Agreement CR-811043-01-0. Washington, D.C.Google Scholar
Caulkins, P.P., Bishop, R.C., and Bouwes, N.W. 1985. “Omitted Cross-Price Variable Biases in the Linear Travel Cost Model: Correcting Common Misperceptions.” Land Economics 61(2): 182187.CrossRefGoogle Scholar
Eom, Y.S., and Larson, D.M. 2006. “Improving Environmental Valuation Estimates through Consistent Use of Revealed and Stated Preference Information.” Journal of Environmental Economics and Management 52(1): 501516.CrossRefGoogle Scholar
Epstein, L.G. 1982. “Integrability of Incomplete Systems of Demand Functions.” Review of Economic Studies 49(3): 411425.CrossRefGoogle Scholar
Gum, R.L., and Martin, W.E. 1975. “Problems and Solutions in Estimating the Demand for and Value of Rural Outdoor Recreation.” American Journal of Agricultural Economics 57(4): 558566.Google Scholar
Gurmu, S., and Trivedi, P. 1996. “Excess Zeros in Count Models for Recreation Trips.” Journal of Business and Economic Statistics 14(4): 469477.Google Scholar
Herriges, J.A., and Kling, C.L. (eds.). 1999. Valuing Recreation and the Environment. Northampton, MA: Edward Elgar.CrossRefGoogle Scholar
Hof, J.G., and King, D.A. 1982. “On the Necessity of Simultaneous Recreation Demand Equation Estimation.” Land Economics 58(4): 547552.Google Scholar
Kling, C.L. 1989. “A Note on the Welfare Effects of Omitting Substitute Prices and Quality from Travel Cost Models.” Land Economics 65(3): 290296.Google Scholar
LaFrance, J.T., and Hanemann, W.M. 1989. “The Dual Structure of Incomplete Demand Systems.” American Journal of Agricultural Economics 71(2): 262274.CrossRefGoogle Scholar
Lee, L.F., and Pitt, M.M. 1986. “Microeconometric Demand Systems with Binding Nonnegativity Constraints: The Dual Approach.” Econometrica 54(5): 12371242.Google Scholar
Neary, J.P., and Roberts, K.W.S. 1980. “The Theory of Household Behavior under Rationing.” European Economic Review 13(1): 2542.Google Scholar
Ozuna, T., and Gomez, I.A. 1994. “Estimating a System of Recreation Demand Functions using a Seemingly Unrelated Poisson Regression Approach.” Review of Economics and Statistics 76(2): 356360.CrossRefGoogle Scholar
Phaneuf, D.J. 1999. “A Dual Approach to Modeling Corner Solutions in Recreation Demand.” Journal of Environmental Economics and Management 37(1): 85105.Google Scholar
Phaneuf, D.J., Herriges, J.A., and Kling, C.L. 2000. “Estimation and Welfare Calculations in a Generalized Corner Solution Model with an Application to Recreation Demand.” Review of Economics and Statistics 82(1): 8392.CrossRefGoogle Scholar
Phaneuf, D.J., Kling, C.L., and Herriges, J.A. 1998. “Valuing Water Quality Improvements using Revealed Preference Methods When Corner Solutions Are Present.” American Journal of Agricultural Economics 80(5): 10251031.Google Scholar
Phaneuf, D.J., Carbone, J.C., and Herriges, J.A. 2009. “Non-Price Equilibria for Non-Market Goods.” Journal of Environmental Economics and Management 57(1): 4564.Google Scholar
Pudney, S. 1989. Modeling Individual Choice: The Econometrics of Corners, Kinks, and Holes. Oxford, UK: Basil Blackwell.Google Scholar
Rosenthal, D.H. 1987. “The Necessity for Substitute Prices in Recreation Demand Analyses.” American Journal of Agricultural Economics 69(4): 828837.CrossRefGoogle Scholar
Smith, V.K. 1993. “Welfare Effects, Omitted Variables, and the Extent of the Market.” Land Economics 69(2): 121131.Google Scholar
von Haefen, R.H., and Phaneuf, D.J. 2003. “Estimating Preferences for Outdoor Recreation: A Comparison of Continuous and Count Data Demand System Frameworks.” Journal of Environmental Economics and Management 45(3): 612630.Google Scholar
von Haefen, R.H., Phaneuf, D.J., and Parsons, G.R. 2004. “Estimation and Welfare Analysis with Large Demand Systems.” Journal of Business and Economic Statistics 22(2): 194205.Google Scholar
von Haefen, R.H. 2007. “Empirical Strategies for Incorporating Weak Complementarity into Consumer Demand Models.” Journal of Environmental Economics and Management 54(1): 1531.Google Scholar
Wales, T.J., and Woodland, A.D. 1983. “Estimation of Consumer Demand Systems with Binding Non-Negativity Constraints.” Journal of Econometrics 21(3): 263285.Google Scholar