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Estimation and Welfare Calculations in a Generalized Corner Solution Model with an Application to Recreation Demand

  • Phaneuf, Daniel J.
  • Kling, Catherine L.
  • Herriges, Joseph A.

The Kuhn-Tucker model of Wales and Woodland (1983) provides a utility theoretic framework for estimating preferences over commodities for which individuals choose not to consume one or more of the goods. Due to the complexity of the model, however, there have been few applications in the literature and little attention has been paid to the problems of welfare analysis within the Kuhn-Tucker framework. This paper provides an application of the model to the problem of recreation demand. In addition, we develop and apply a methodology for estimating compensating variation, relying on Monte Carlo integration to derive expected welfare changes.

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File URL: http://www.econ.iastate.edu/sites/default/files/publications/papers/NDN0004.pdf
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Paper provided by Iowa State University, Department of Economics in its series Staff General Research Papers with number 1355.

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Date of creation: 01 Jan 2000
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Publication status: Published in Review of Economics and Statistics, January/February 2000, vol. 82 no. 1, pp. 83-92
Handle: RePEc:isu:genres:1355
Contact details of provider: Postal: Iowa State University, Dept. of Economics, 260 Heady Hall, Ames, IA 50011-1070
Phone: +1 515.294.6741
Fax: +1 515.294.0221
Web page: http://www.econ.iastate.edu
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  1. Hanemann, W Michael, 1984. "Discrete-Continuous Models of Consumer Demand," Econometrica, Econometric Society, vol. 52(3), pages 541-61, May.
  2. Herman J. Bierens & A. R. Gallant (ed.), 1997. "Nonlinear Models," Books, Edward Elgar, volume 0, number 878, December.
  3. Lilyan E. Fulginiti & Richard K. Perrin, 1992. "Theory and Measurement of Producer Response under Quotas, The," Center for Agricultural and Rural Development (CARD) Publications 92-wp94, Center for Agricultural and Rural Development (CARD) at Iowa State University.
  4. Michael Ransom, 1985. "The Labor Supply of Married Men: A Switching Regressions Model," Working Papers 571, Princeton University, Department of Economics, Industrial Relations Section..
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  6. Kling, Catherine L. & Bockstael, Nancy & Michael, W., 1999. "Estimating the Value of Water Quality Improvements in a Recreational Demand Framework," Staff General Research Papers 12334, Iowa State University, Department of Economics.
  7. Yen, Steven & Adamowicz, Wiktor L., 1994. "Participation, Trip Frequency and Site Choice: A Multinomial-Poisson Hurdle Model of Recreation Demand," Staff General Research Papers 764, Iowa State University, Department of Economics.
  8. Lee, Lung-Fei & Pitt, Mark M., 1987. "Microeconometric Models of Rationing, Imperfect Markets, and Non-Negativity Constraints," Bulletins 7470, University of Minnesota, Economic Development Center.
  9. Fortin, B. & Lacroix, G., 1991. "Labour Supply, Tax Evasion and the Marginal Cost of Public Funds: An Empirical Investigation," Cahiers de recherche 9114, Université Laval - Département d'économique.
  10. Parsons George R. & Kealy Mary Jo, 1995. "A Demand Theory for Number of Trips in a Random Utility Model of Recreation," Journal of Environmental Economics and Management, Elsevier, vol. 29(3), pages 357-367, November.
  11. Lee, Lung-Fei & Pitt, Mark M, 1986. "Microeconometric Demand Systems with Binding Nonnegativity Constraints: The Dual Approach," Econometrica, Econometric Society, vol. 54(5), pages 1237-42, September.
  12. Englin, Jeffrey & Shonkwiler, J S, 1995. "Estimating Social Welfare Using Count Data Models: An Application to Long-Run Recreation Demand under Conditions of Endogenous Stratification and Truncation," The Review of Economics and Statistics, MIT Press, vol. 77(1), pages 104-12, February.
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  15. Shaw, Daigee, 1988. "On-site samples' regression : Problems of non-negative integers, truncation, and endogenous stratification," Journal of Econometrics, Elsevier, vol. 37(2), pages 211-223, February.
  16. Heien, Dale & Wessells, Cathy Roheim, 1990. "Demand Systems Estimation with Microdata: A Censored Regression Approach," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(3), pages 365-71, July.
  17. Ransom, Michael R, 1987. "An Empirical Model of Discrete and Continuous Choice in Family Labor Supply," The Review of Economics and Statistics, MIT Press, vol. 69(3), pages 465-72, August.
  18. Nancy E. Bockstael & Ivar E. Strand, Jr. & Kenneth E. McConnell & Firuzeh Arsanjani, 1990. "Sample Selection Bias in the Estimation of Recreation Demand Functions: An Application to Sportfishing," Land Economics, University of Wisconsin Press, vol. 66(1), pages 40-49.
  19. Daniel McFadden, 1996. "Computing Willingness-to-Pay in Random Utility Models," Working Papers _011, University of California at Berkeley, Econometrics Laboratory Software Archive.
  20. Srinivasan, T C & Winer, Russell S, 1994. "Using Neoclassical Consumer-Choice Theory to Produce a Market Map from Purchase Data," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(1), pages 1-9, January.
  21. George R. Parsons & Michael S. Needelman, 1992. "Site Aggregation in a Random Utility Model of Recreation," Land Economics, University of Wisconsin Press, vol. 68(4), pages 418-433.
  22. Joseph A. Herriges & Catherine L. Kling, 1999. "Nonlinear Income Effects in Random Utility Models," The Review of Economics and Statistics, MIT Press, vol. 81(1), pages 62-72, February.
  23. Amemiya, Takeshi, 1974. "Multivariate Regression and Simultaneous Equation Models when the Dependent Variables Are Truncated Normal," Econometrica, Econometric Society, vol. 42(6), pages 999-1012, November.
  24. Geweke, John, 1996. "Monte carlo simulation and numerical integration," Handbook of Computational Economics, in: H. M. Amman & D. A. Kendrick & J. Rust (ed.), Handbook of Computational Economics, edition 1, volume 1, chapter 15, pages 731-800 Elsevier.
  25. Morey, Edward R, 1984. "The Choice of Ski Areas: Estimation of a Generalized CES Preference Ordering with Characteristics," The Review of Economics and Statistics, MIT Press, vol. 66(4), pages 584-90, November.
  26. Wales, T. J. & Woodland, A. D., 1983. "Estimation of consumer demand systems with binding non-negativity constraints," Journal of Econometrics, Elsevier, vol. 21(3), pages 263-285, April.
  27. Hausman, Jerry A. & Leonard, Gregory K. & McFadden, Daniel, 1995. "A utility-consistent, combined discrete choice and count data model Assessing recreational use losses due to natural resource damage," Journal of Public Economics, Elsevier, vol. 56(1), pages 1-30, January.
  28. Fulginiti, Lilyan & Perrin, Richard, 1993. "The Theory and Measurement of Producer Response under Quotas," The Review of Economics and Statistics, MIT Press, vol. 75(1), pages 97-106, February.
  29. James Tobin, 1956. "Estimation of Relationships for Limited Dependent Variables," Cowles Foundation Discussion Papers 3R, Cowles Foundation for Research in Economics, Yale University.
  30. Mark M. Pitt & Daniel L. Millimet, 1999. "Estimation of Coherent Demand Systems with Many Binding Non-Negativity Constraints," Working Papers 99-4, Brown University, Department of Economics.
  31. Feather Peter & Hellerstein Daniel & Tomasi Theodore, 1995. "A Discrete-Count Model of Recreational Demand," Journal of Environmental Economics and Management, Elsevier, vol. 29(2), pages 214-227, September.
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