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Incorporating Quadratic Scale Curves In Inverse Demand Systems

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  • Beach, Robert H.
  • Holt, Matthew T.

Abstract

In this paper we introduce inverse demand systems that include quadratic scale terms. These systems are similar to regular quadratic demand systems introduced by Howe, Pollack, and Wales. A unique feature of these specifications is that they maintain linear scale curves as a special case. For illustrative purposes we estimate the Normalized Quadratic Inverse Demand-Quadratic Scale System using monthly South Atlantic fish landings and valuation data, 1980-1996. In estimation concavity is maintained locally, and the rank reduction procedures advocated by Diewert and Wales (1988b) are employed. The estimated model is then used to obtain welfare estimates associated with catch restrictions.

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Bibliographic Info

Paper provided by American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association) in its series 1999 Annual meeting, August 8-11, Nashville, TN with number 21579.

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Date of creation: 1999
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Handle: RePEc:ags:aaea99:21579

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Keywords: Antonelli matrix; inverse demands; negative semidefinite; quadratic scale curves; Demand and Price Analysis; Research Methods/ Statistical Methods;

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References

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  1. Eales, James S., 1994. "The Inverse Lewbel Demand System," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 19(01), July.
  2. Moschini, Giancarlo, 1998. "The semiflexible almost ideal demand system," European Economic Review, Elsevier, vol. 42(2), pages 349-364, February.
  3. Palmquist, Raymond B., 1988. "Welfare measurement for environmental improvements using the hedonic model: The case of nonparametric marginal prices," Journal of Environmental Economics and Management, Elsevier, vol. 15(3), pages 297-312, September.
  4. 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.
  5. Ryan, David L & Wales, Terence J, 1998. "A Simple Method for Imposing Local Curvature in Some Flexible Consumer-Demand Systems," Journal of Business & Economic Statistics, American Statistical Association, vol. 16(3), pages 331-38, July.
  6. Moschini, GianCarlo & Vissa, A., 1992. "Linear Inverse Demand System, A," Staff General Research Papers 11250, Iowa State University, Department of Economics.
  7. Diewert, W E & Wales, T J, 1988. "Normalized Quadratic Systems of Consumer Demand Functions," Journal of Business & Economic Statistics, American Statistical Association, vol. 6(3), pages 303-12, July.
  8. Richard C. Bishop & Matthew T. Holt, 2002. "A semiflexible normalized quadratic inverse demand system: an application to the price formation of fish," Empirical Economics, Springer, vol. 27(1), pages 23-47.
  9. Eales, James S. & Unnevehr, Laurian J., 1994. "The inverse almost ideal demand system," European Economic Review, Elsevier, vol. 38(1), pages 101-115, January.
  10. 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.
  11. Moschini, GianCarlo & Vissa, Anuradha, 1992. "A Linear Inverse Demand System," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 17(02), December.
  12. W. E. Diewert & T. J. Wales, 1993. "Linear and Quadratic Spline Models for Consumer Demand Functions," Canadian Journal of Economics, Canadian Economics Association, vol. 26(1), pages 77-106, February.
  13. Barten, A. P. & Bettendorf, L. J., 1989. "Price formation of fish : An application of an inverse demand system," European Economic Review, Elsevier, vol. 33(8), pages 1509-1525, October.
  14. Brown, Mark G & Lee, Jonq-Ying & Seale, James L, Jr, 1995. "A Family of Inverse Demand Systems and Choice of Functional Form," Empirical Economics, Springer, vol. 20(3), pages 519-30.
  15. David L. Ryan & Terence J. Wales, 1999. "Flexible And Semiflexible Consumer Demands With Quadratic Engel Curves," The Review of Economics and Statistics, MIT Press, vol. 81(2), pages 277-287, May.
  16. Moschini, GianCarlo, 1998. "Semiflexible Almost Ideal Demand System, The," Staff General Research Papers 1193, Iowa State University, Department of Economics.
  17. Howe, Howard & Pollak, Robert A & Wales, Terence J, 1979. "Theory and Time Series Estimation of the Quadratic Expenditure System," Econometrica, Econometric Society, vol. 47(5), pages 1231-47, September.
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Citations

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Cited by:
  1. Liu, Kang Ernest, 2006. "A Quadratic Generalization of the Almost Ideal and Translog Demand Systems: An Application to Food Demand in Urban China," 2006 Annual meeting, July 23-26, Long Beach, CA 21387, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
  2. Madan Mohan Dey & Yolanda T. Garcia & Kumar Praduman & Somying Piumsombun & Muhammad Sirajul Haque & Luping Li & Alias Radam & Athula Senaratne & Nguyen Tri Khiem & Sonny Koeshendrajana, 2008. "Demand for fish in Asia: a cross-country analysis ," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 52(3), pages 321-338, 09.
  3. Keith R. McLaren & K. K. Gary Wong, 2008. "The Benefit Function Approach to Modeling Price-Dependent Demand Systems: An Application of Duality Theory," Monash Econometrics and Business Statistics Working Papers 8/08, Monash University, Department of Econometrics and Business Statistics.
  4. Vasiliki Fourmouzi & Margarita Genius & Vangelis Tzouvelekas, 2006. "The Demand for Organic, Integrated-Agriculture, and Conventional Fresh Vegetables: A Censored Inverse Almost Ideal Demand System," Working Papers 0618, University of Crete, Department of Economics.
  5. Dey, Madan Mohan & Garcia, Yolanda T. & Kumar, Praduman & Piumsombun, Somying & Haque, Muhammad Sirajul & Li, Luping & Radam, Alias & Senaratne, Athula & Khiem, Nguyen Tri & Koeshendrajana, Sonny, 2008. "Demand for fish in Asia: a cross-country analysis," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 52(3), September.
  6. Michele Baggio & Jean-Paul Chavas, 2006. "On the Consumer Value of Environmental Diversity," Working Papers 35, University of Verona, Department of Economics.
  7. Lee, Min-Yang A. & Thunberg, Eric M., 2012. "An Inverse Demand System for New England Groundfish: Welfare Analysis of the Transition to Catch Share Management," 2012 Annual Meeting, August 12-14, 2012, Seattle, Washington 123879, Agricultural and Applied Economics Association.
  8. Gary K.K. Wong & Keith R. McLaren, 2002. "Regular and Estimable Inverse Demand Systems: A Distance Function Approach," Monash Econometrics and Business Statistics Working Papers 6/02, Monash University, Department of Econometrics and Business Statistics.

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