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A Flexible Multistage Demand System Based on Indirect Separability

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  • Moschini, Giancarlo

Abstract

The notion of indirect separability is exploited to derive a new multistage demand system. The model allows a consistent parameterization of demand relations at various budgeting stages and it fulfills the requirement of flexibility while satisfying separability globally. Two propositions are derived to characterize flexible and separable functional forms, which lead to the specifi- cation of a flexible and separable translog (FAST) demand system. The model is particularly attractive for modeling large complete demand systems and is illustrated with an application to Canadian food demand.

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  • Moschini, Giancarlo, 2001. "A Flexible Multistage Demand System Based on Indirect Separability," ISU General Staff Papers 200107010700001289, Iowa State University, Department of Economics.
  • Handle: RePEc:isu:genstf:200107010700001289
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    1. Diewert, Walter E & Wales, Terence J, 1987. "Flexible Functional Forms and Global Curvature Conditions," Econometrica, Econometric Society, vol. 55(1), pages 43-68, January.
    2. Browning, Martin & Meghir, Costas, 1991. "The Effects of Male and Female Labor Supply on Commodity Demands," Econometrica, Econometric Society, vol. 59(4), pages 925-951, July.
    3. Driscoll, Paul J. & McGuirk, Anya M., 1992. "A Class Of Separability Flexible Functional Forms," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 17(2), pages 1-11, December.
    4. Blackorby, Charles & Russell, R Robert, 1989. "Will the Real Elasticity of Substitution Please Stand Up? (A Comparison of the Allen/Uzawa and Morishima Elasticities)," American Economic Review, American Economic Association, vol. 79(4), pages 882-888, September.
    5. 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.
    6. Moschini, Giancarlo & Moro, Daniele, 1994. "Autocorrelation specification in singular equation systems," Economics Letters, Elsevier, vol. 46(4), pages 303-309, December.
    7. W.A. Barnett & J.M. Binner, 2004. "The Global Properties of the Minflex Laurent, Generalized Leontief, and Translog Flexible Functional Forms," Contributions to Economic Analysis, in: Functional Structure and Approximation in Econometrics, pages 79-97, Emerald Group Publishing Limited.
    8. Moschini, Giancarlo, 1992. "A Non-nested Test of Separability for Flexible Functional Forms," The Review of Economics and Statistics, MIT Press, vol. 74(2), pages 365-369, May.
    9. Michalek, J & Keyzer, M A, 1992. "Estimation of a Two-Stage LES-AIDS Consumer Demand System for Eight EC Countries," European Review of Agricultural Economics, Oxford University Press and the European Agricultural and Applied Economics Publications Foundation, vol. 19(2), pages 137-163.
    10. Edgerton, David L., 1993. "On The Estimation Of Separable Demand Models," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 18(2), pages 1-6, December.
    11. Barnett, William A. & Lee, Yul W. & Wolfe, Michael D., 1985. "The three-dimensional global properties of the minflex laurent, generalized leontief, and translog flexible functional forms," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 3-31.
    12. Davidson, Russell & MacKinnon, James G., 1993. "Estimation and Inference in Econometrics," OUP Catalogue, Oxford University Press, number 9780195060119.
    13. Barr, D G & Cuthbertson, K, 1994. "The Demand for Financial Assets Held in the U.K. by the Overseas Sector: An Application of Two-Stage Budgeting," The Manchester School of Economic & Social Studies, University of Manchester, vol. 62(1), pages 1-20, March.
    14. Diewert, W. E. & Wales, T. J., 1988. "A normalized quadratic semiflexible functional form," Journal of Econometrics, Elsevier, vol. 37(3), pages 327-342, March.
    15. Fuss, Melvyn & McFadden, Daniel (ed.), 1978. "Production Economics: A Dual Approach to Theory and Applications," Elsevier Monographs, Elsevier, edition 1, number 9780444850133.
    16. John D. Jackson, 1997. "Effects of Health Information and Generic Advertising on U.S. Meat Demand," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 79(1), pages 13-23.
    17. David L. Edgerton, 1997. "Weak Separability and the Estimation of Elasticities in Multistage Demand Systems," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 79(1), pages 62-79.
    18. Granger, Clive W. J. & King, Maxwell L. & White, Halbert, 1995. "Comments on testing economic theories and the use of model selection criteria," Journal of Econometrics, Elsevier, vol. 67(1), pages 173-187, May.
    19. Anderson, Ronald W, 1979. "Perfect Price Aggregation and Empirical Demand Analysis," Econometrica, Econometric Society, vol. 47(5), pages 1209-1230, September.
    20. Berndt, Ernst R & Savin, N Eugene, 1975. "Estimation and Hypothesis Testing in Singular Equation Systems with Autoregressive Disturbances," Econometrica, Econometric Society, vol. 43(5-6), pages 937-957, Sept.-Nov.
    21. Alain Carpentier & Hervé Guyomard, 2001. "Unconditional Elasticities in Two-Stage Demand Systems: An Approximate Solution," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 83(1), pages 222-229.
    22. Dale W. Jorgenson & Lawrence J. Lau, 1975. "The Structure of Consumer Preferences," NBER Chapters, in: Annals of Economic and Social Measurement, Volume 4, number 1, pages 49-101, National Bureau of Economic Research, Inc.
    23. Moschini, Giancarlo, 1998. "The semiflexible almost ideal demand system," European Economic Review, Elsevier, vol. 42(2), pages 349-364, February.
    24. Steven T. Yen & Terry L. Roe, 1989. "Estimation of a Two-Level Demand System with Limited Dependent Variables," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 71(1), pages 85-98.
    25. Newman, Peter, 1969. "Some properties of concave functions," Journal of Economic Theory, Elsevier, vol. 1(3), pages 291-314, October.
    26. Blundell, Richard, 1988. "Consumer Behaviour: Theory and Empirical Evidence--a Survey," Economic Journal, Royal Economic Society, vol. 98(389), pages 16-65, March.
    27. Christensen, Laurits R & Jorgenson, Dale W & Lau, Lawrence J, 1975. "Transcendental Logarithmic Utility Functions," American Economic Review, American Economic Association, vol. 65(3), pages 367-383, June.
    28. Chalfant, James A. & Gallant, A. Ronald, 1985. "Estimating substitution elasticities with the Fourier cost function : Some Monte Carlo results," Journal of Econometrics, Elsevier, vol. 28(2), pages 205-222, May.
    29. 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.
    30. Hanemann, Michael & Morey, Edward, 1992. "Separability, partial demand systems, and consumer's surplus measures," Journal of Environmental Economics and Management, Elsevier, vol. 22(3), pages 241-258, May.
    31. Giancarlo Moschini & Daniele Moro & Richard D. Green, 1994. "Maintaining and Testing Separability in Demand Systems," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 76(1), pages 61-73.
    32. Eric J. Wailes & Gail L. Cramer, 1997. "A Microeconometric Analysis of Consumer Taste Determination and Taste Change for Beef," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 79(2), pages 573-582.
    33. Blackorby, Charles & Primont, Daniel & Russell, R. Robert, 1977. "On testing separability restrictions with flexible functional forms," Journal of Econometrics, Elsevier, vol. 5(2), pages 195-209, March.
    34. Spencer, Peter, 1997. "Monetary integration and currency substitution in the EMS: The case for a European monetary aggregate," European Economic Review, Elsevier, vol. 41(7), pages 1403-1419, July.
    35. Hirofumi Uzawa, 1962. "Production Functions with Constant Elasticities of Substitution," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 29(4), pages 291-299.
    36. 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.
    37. Blackorby, Charles & Boyce, Richard & Russell, R Robert, 1978. "Estimation of Demand Systems Generated by the Gorman Polar Form: A Generalization of the S-Branch Utility Tree," Econometrica, Econometric Society, vol. 46(2), pages 345-363, March.
    38. Brown, Murray & Heien, Dale M, 1972. "The S-Branch Utility Tree: A Generalization of the Linear Expenditure System," Econometrica, Econometric Society, vol. 40(4), pages 737-747, July.
    39. Denny, Michael & Fuss, Melvyn A, 1977. "The Use of Approximation Analysis to Test for Separability and the Existence of Consistent Aggregates," American Economic Review, American Economic Association, vol. 67(3), pages 404-418, June.
    40. LaFrance, Jeffrey T., 1991. "When Is Expenditure "Exogenous" In Separable Demand Models?," Western Journal of Agricultural Economics, Western Agricultural Economics Association, vol. 16(1), pages 1-14, July.
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    3. Bergtold, Jason S. & Akobundu, Eberechukwu & Peterson, Everett B., 2004. "The FAST Method: Estimating Unconditional Demand Elasticities for Processed Foods in the Presence of Fixed Effects," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 29(2), pages 1-20, August.
    4. Adrian R. Fleissig, 2016. "Changing Trends in U.S. Alcohol Demand," Atlantic Economic Journal, Springer;International Atlantic Economic Society, vol. 44(3), pages 263-276, September.
    5. Stoeckl, Natalie & Farr, Marina & Larson, Silva & Adams, Vanessa M. & Kubiszewski, Ida & Esparon, Michelle & Costanza, Robert, 2014. "A new approach to the problem of overlapping values: A case study in Australia׳s Great Barrier Reef," Ecosystem Services, Elsevier, vol. 10(C), pages 61-78.
    6. Bergtold, Jason S. & Peterson, Everett B., 2005. "Introducing Asymmetric Separability in the FAST Multistage Demand System," 2005 Annual meeting, July 24-27, Providence, RI 19497, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    7. Abiodun O. OTUNAIYA & Adebayo M. SHITTU, 2014. "Complete household demand system of vegetables in Ogun State, Nigeria," Agricultural Economics, Czech Academy of Agricultural Sciences, vol. 60(11), pages 509-516.
    8. Per Hjertstrand & James Swofford, 2012. "Revealed preference tests for consistency with weakly separable indirect utility," Theory and Decision, Springer, vol. 72(2), pages 245-256, February.
    9. Hjertstrand, Per & Swofford, James L., 2019. "Revealed preference tests of indirect and homothetic weak separability of financial assets, consumption and leisure," Journal of Financial Stability, Elsevier, vol. 42(C), pages 108-114.
    10. Agbola, Frank W. & Maitra, Pushkar & McLaren, Keith Robert, 2002. "The Analysis of Consumer Demand for Food in South Africa: An Application of the Modified Almost Ideal Demand System: Some Preliminary Results," 2002 Conference (46th), February 13-15, 2002, Canberra, Australia 125047, Australian Agricultural and Resource Economics Society.
    11. Sébastien Pouliot & Bruno Larue, 2012. "Import sensitive products and perverse tariff-rate quota liberalization," Canadian Journal of Economics, Canadian Economics Association, vol. 45(3), pages 903-924, August.

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