Deriving a flexible mixed demand system: The normalized quadratic model

American Journal of Agricultural Economics

Volumn 89, Issue 4, 2007, Pages 1034-1045

  Moschini, Gian Carlo ^a   Rrizzi, Pier Luigi ^b  

^a IOWA STATE UNIVERSITY   (United States)

^b UNIVERSITY OF SIENA   (Italy)

Author keywords

Demand systems; Duality; Flexible functional forms; Mixed demands

Indexed keywords

DEMAND ANALYSIS; EXPENDITURE; METHODOLOGY; PARAMETERIZATION; VEGETABLE;

EURASIA; EUROPE; ITALY; SOUTHERN EUROPE;

EID: 34848814453     PISSN: 00029092     EISSN: 14678276     Source Type: Journal    
DOI: 10.1111/j.1467-8276.2007.01027.x     Document Type: Article

References (37)

1. Amemiya, Y. 1985. "Instrumental Variable Estimator for the Nonlinear Errors-in-Variables Model." Journal of Econometrics 28:273-289.
2. Anderson, G., and R. Blundell. 1984. "Consumer Non-durables in the U.K.: A Dynamic Demand System." Economic Journal, Conference Papers 94:34-44.
3. Banks, J., R. Blundell, and A. Lewbel. 1997. "Quadratic Engel Curves and Consumer Demand." Review of Economics and Statistics 79:527-539.
4. Barten, A.P. 1992. "The Estimation of Mixed Demand Systems." In R. Bewley and Tran Van Hoa, eds. Contributions to Consumer Demand and Econometrics: Essays in Honour of Henri Theil. London: Macmillan, pp. 31-57.
5. Barten, A.P., and L.J. Bettendorf. 1989. "Price Formation of Fish: An Application of an Inverse Demand System." European Economic Review 33:1509-1525.
6. Berndt, E.R., and N.E. Savin. 1975. "Estimation and Hypothesis Testing in Singular Equation Systems with Autoregressive Disturbances." Econometrica 43:937-957.
7. Blackorby, C., D. Primont, and R.R. Russell. 1978. Duality, Separability, and Functional Structure: Theory and Economic Applications. New York: North-Holland.
8. Brown, M.G., and J.Y. Lee. 2006. "A Rotterdam Mixed Demand System." In M. Holt and J.-P. Chavas, eds. Essays in Honor of Stanley R. Johnson. Berkeley Electronic Press, Article 14. Available at http://www.bepress.com/sjohnson/art14/.
9. Browning, M. 1999. "Dual Approaches to Utility." In S. Barbera, P.J. Hammond, and C. Seidl, eds. Handbook of Utility Theory: Vol. 1: Principles. Dordrecht: Kluwer Academic, pp. 123-141.
10. Chavas, J-P. 1984. "The Theory of Mixed Demand Functions." European Economic Review 24:321-344.
11. Christensen, L.R., D.W. Jorgenson, and L.J. Lau. 1975. "Transcendental Logarithmic Utility Functions." American Economic Review 65:367-383.
12. Cunha-e-Sá, M.A., and M.M. Ducla-Soares. 1999. "Specification Tests for Mixed Demand Systems with an Emphasis on Combining Contingent Valuation and Revealed Data." Journalof Environmental Economics and Management 38:215-233.
13. Davidson, R., and J.G. MacKinnon. 1993. Estimation and Inference in Econometrics. Oxford: Oxford University Press.
14. Deaton, A. 1981. "Theoretical and Empirical Approaches to Consumer Demand under Rationing." In A. Deaton, ed. Essays in the Theory and Measurement of Consumer Behaviour in Honour of Sir Richard Stone. Cambridge: Cambridge University Press, pp. 55-72.
15. Deaton, A., and J. Muellbauer. 1980. "An Almost Ideal Demand System." American Economic Review 70:312-326.
16. Diewert, W.E. 1974. "Applications of Duality Theory." In M.D. Intriligator and D.A. Kendrick, eds. Frontiers of Quantitative Economics, vol. II. Amsterdam: North-Holland, pp. 106-171.
17. Diewert, W.E., and T.J. Wales. 1988. "Normalized Quadratic Systems of Consumer Demand Functions." Journal of Business & Economic Statistics 6:303-312.
18. Eales, J.S., and L.J. Unnevehr. 1994. "The Inverse Almost Ideal Demand System." European Economic Review 38:101-115.
19. Geary, R.C. 1949-1950. "A Note on 'A Constant Utility Index of the Cost of Living." Review of Economic Studies 18:65-66.
20. Gorman, W.M. 1976. "Tricks with Utility Functions." In M. Artis and R. Nobay, eds. Essays in Economic Analysis. Cambridge: Cambridge University Press, pp. 211-243.
21. Hall, B.H., and C. Cummins. 1999. Time Series Processor Version 4.5 - Reference Manual. Palo Alto, CA: TSP International, April.
22. Holt, M.T., and R.C. Bishop. 2002. "A Semiflexible Normalized Quadratic Inverse Demand System: An Application to the Price Formation of Fish." Empirical Economics 27:23-47.
23. Lewbel, A. 1996. "Demand Estimation with expenditure Measurement Errors on the Left and Right Hand Side." Review of Economics and Statistics 78:718-725.
24. Madden, P. 1991. "A Generalization of Hicksian q Substitutes and Complements with Application to Demand Rationing." Econometrica 59:1497-1508.
25. Marini, G., A. Piergallini, and P. Scaramozzino. 2004. "Inflation Bias after the Euro: Evidence from the UK and Italy." Working Paper, Department of Economics, University of Rome "Tor Vergata."
26. Matsuda, T. 2004. "Incorporating Generalized Marginal Budget Shares in a Mixed Demand System." American Journal of Agricultural Economics 86:1117-1126.
27. Moschini, G. 1998. "The Semiflexible Almost Ideal Demand System." European Economic Review 42: 349-364.
28. Moschini, G. 2001. "Production Risk and the Estimation of Ex-ante Cost Functions." Journal of Econometrics 100:357-380.
29. Moschini, G., and P.L. Rizzi. 2006. "Coherent Specification of a Mixed Demand System: The Stone-Geary Model." In M. Holt and J.-P. Chavas, eds. Essays in Honor of Stanley R. Johnson. Berkeley Electronic Press, Article 15. Available at http://www.bepress.com/sjohnson/art15/.
30. Moschini, G., and P.L. Rizzi. 2007. "AJAE Appendix: Deriving a Flexible Mixed Demand System: The Normalized Quadratic Model." Unpublished manuscript. Available at http://agecon.lib.umn.edu.
31. Moschini, G., and A. Vissa. 1992. "A Linear Inverse Demand System." Journal of Agricultural and Resource Economics 17:294-302.
32. Moschini, G., and A. Vissa. 1993. "Flexible Specification of Mixed Demand Systems." American Journal of Agricultural Economics 75:1-9.
33. Neary, J.P., and K.W.S. Roberts. 1980. "The Theory of Household Behavior under Rationing." European Economic Review 13:25-42.
34. Samuelson, P.A. 1965. "Using Full Duality to Show That Simultaneously Additive Direct and Indirect Utilities Implies Unitary Price Elasticity of Demand." Econometrica 33:781-796.
35. Stone, J.R.N. 1954. "Linear Expenditure Systems and Demand Analysis: An Application to the Pattern of British Demand." Economic Journal 54:511-527.
36. Theil, H. 1975 and 1976. The Theory and Measurement of Consumer Demand, vols. I and II. Amsterdam: North-Holland.
37. Weymark, J.A. 1980. "Duality Results in Demand Theory." European Economic Review 14:377-395.