Regularity Of The Generalized Quadratic Production Model: A Counterexample
Recently there has been a growing tendency to impose curvature, but not monotonicity, on specifications of technology. But regularity requires satisfaction of both curvature and monotonicity conditions. Without both satisfied, the second order conditions for optimizing behavior fail and duality theory fails. When neither curvature nor monotonicity are imposed, estimated flexible specifications of technology are much more likely to violate curvature than monotonicity. Hence it has been argued that there is no need to impose or check for monotonicity, when curvature has been imposed globally. But imposition of curvature may induce violations of monotonicity that otherwise would not have occurred. We explore the regularity properties of our earlier results with a multiproduct financial technology specified to be generalized quadratic. In our earlier work, we used the usual approach and accepted the usual view. We now find that imposition of curvature globally and monotonicity locally does not assure monotonicity within the region of the data. Our purpose is to alert researchers to the kinds of problems that we encountered and which we believe are largely being overlooked in the production modelling literature, as we had been overlooking them.
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- Barnett, William A., 1983. "Definitions of 'second order approximation' and of 'flexible functional form'," Economics Letters, Elsevier, vol. 12(1), pages 31-35.
- William A. Barnett & Douglas Fisher & Apostolos Serletis, 2006.
"Consumer Theory and the Demand for Money,"
World Scientific Book Chapters,in: Money And The Economy, chapter 1, pages 3-43
World Scientific Publishing Co. Pte. Ltd..
- Barnett, William A & Fisher, Douglas & Serletis, Apostolos, 1992. "Consumer Theory and the Demand for Money," Journal of Economic Literature, American Economic Association, vol. 30(4), pages 2086-2119, December.
- William Barnett & Apostolos Serletis & W. Erwin Diewert, 2005. "The Theory of Monetary Aggregation (book front matter)," Macroeconomics 0511008, EconWPA.
- Barnett, William A. & Geweke, John & Wolfe, Michael, 1991. "Seminonparametric Bayesian estimation of the asymptotically ideal production model," Journal of Econometrics, Elsevier, vol. 49(1-2), pages 5-50.
- Cooper, Russel J & McLaren, Keith R & Parameswaran, Priya, 1994. "A System of Demand Equations Satisfying Effectively Global Curvature Conditions," The Economic Record, The Economic Society of Australia, vol. 70(208), pages 26-35, March.
- 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 331-338, July.
- Moschini, Giancarlo, 1999. "Imposing Local Curvature Conditions in Flexible Demand Systems," Journal of Business & Economic Statistics, American Statistical Association, vol. 17(4), pages 487-490, October.
- Moschini, GianCarlo, 1999. "Imposing Local Curvature Conditions in Flexible Demand System," Staff General Research Papers Archive 1745, Iowa State University, Department of Economics.
- William Barnett, 2005. "Monetary Aggregation," Macroeconomics 0503017, EconWPA.
- William Barnett, 2005. "Monetary Aggregation," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 200510, University of Kansas, Department of Economics, revised Mar 2005.
- Barnett, William A., 1980. "Economic monetary aggregates an application of index number and aggregation theory," Journal of Econometrics, Elsevier, vol. 14(1), pages 11-48, September.
- Gallant, A. Ronald & Golub, Gene H., 1984. "Imposing curvature restrictions on flexible functional forms," Journal of Econometrics, Elsevier, vol. 26(3), pages 295-321, December.
- A. Ronald Gallant & Gene H. Golub, 1982. "Imposing Curvature Restrictions on Flexible Functional Forms," Discussion Papers 538, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Terrell, Dek, 1996. "Incorporating Monotonicity and Concavity Conditions in Flexible Functional Forms," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(2), pages 179-194, March-Apr.
- Basmann, R L & Molina, D J & Slottje, D J, 1983. "Budget Constraint Prices as Preference Changing Parameters of Generalized Fechner-Thurstone Direct Utility Functions," American Economic Review, American Economic Association, vol. 73(3), pages 411-413, June.
- Koop, Gary & Osiewalski, Jacek & Steel, Mark F J, 1994. "Bayesian Efficiency Analysis with a Flexible Form: The AIM Cost Function," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(3), pages 339-346, July.
- Koop, G. & Osiewalski, J. & Steel, M.F.J., 1994. "Bayesian efficiency analysis with a flexible form : The aim cost function," Discussion Paper 1994-13, Tilburg University, Center for Economic Research.
- Barnett, William A & Kirova, Milka & Pasupathy, Meenakshi, 1995. "Estimating Policy-Invariant Deep Parameters in the Financial Sector When Risk and Growth Matter," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 27(4), pages 1402-1429, November.
- William A. Barnett & Milka Kirova & Meenakshi Pasupathy, 1994. "Estimating policy-invariant deep parameters in the financial sector when risk and growth matter," Proceedings, Federal Reserve Bank of Cleveland, pages 1402-1440.
- Hancock, Diana, 1985. "The Financial Firm: Production with Monetary and Nonmonetary Goods," Journal of Political Economy, University of Chicago Press, vol. 93(5), pages 859-880, October.
- Ramajo Hernandez, Julian, 1994. "Curvature Restrictions on Flexible Functional Forms: An Application of the Minflex Laurent Almost Ideal Demand System to the Pattern of Spanish Demand, 1954-1987," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(4), pages 431-436, October.
- Barnett, William A. & Lee, Yul W. & Wolfe, Michael, 1987. "The global properties of the two minflex Laurent flexible functional forms," Journal of Econometrics, Elsevier, vol. 36(3), pages 281-298, November.
- 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.
- Diewert, W. E. & Wales, T. J., 1995. "Flexible functional forms and tests of homogeneous separability," Journal of Econometrics, Elsevier, vol. 67(2), pages 259-302, June.
- Barnett,William A. & Cornet,Bernard & D'Aspremont,Claude & Gabszewicz,Jean & Mas-Colell,Andreu (ed.), 1991. "Equilibrium Theory and Applications," Cambridge Books, Cambridge University Press, number 9780521392198, December.
- Barnett, William A., 2002. "Tastes and technology: curvature is not sufficient for regularity," Journal of Econometrics, Elsevier, vol. 108(1), pages 199-202, May.
- Basmann, R. L. & Diamond, C. A. & Frentrup, J. C. & White, S. N., 1985. "On deviations between neoclassical and GFT-based true cost-of-living indexes derived from the same demand function system," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 45-66. Full references (including those not matched with items on IDEAS)