IDEAS home Printed from https://ideas.repec.org/p/ias/cpaper/00-wp265.html
   My bibliography  Save this paper

Flexible Multistage Demand System Based on Indirect Separability, A

Author

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 specification 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.

Suggested Citation

  • GianCarlo Moschini, 2000. "Flexible Multistage Demand System Based on Indirect Separability, A," Center for Agricultural and Rural Development (CARD) Publications 00-wp265, Center for Agricultural and Rural Development (CARD) at Iowa State University.
    • Handle: RePEc:ias:cpaper:00-wp265
    as

    Download full text from publisher

    File URL: https://www.card.iastate.edu/products/publications/pdf/00wp265.pdf
    File Function: Full Text
    Download Restriction: no
    File URL: https://www.card.iastate.edu/products/publications/synopsis/?p=317
    File Function: Online Synopsis
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Moschini, Giancarlo, 1998. "The semiflexible almost ideal demand system," European Economic Review, Elsevier, vol. 42(2), pages 349-364, February.
    2. 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.
    3. Newman, Peter, 1969. "Some properties of concave functions," Journal of Economic Theory, Elsevier, vol. 1(3), pages 291-314, October.
    4. Blundell, Richard, 1988. "Consumer Behaviour: Theory and Empirical Evidence--a Survey," Economic Journal, Royal Economic Society, vol. 98(389), pages 16-65, March.
    5. 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.
    6. Diewert, Walter E & Wales, Terence J, 1987. "Flexible Functional Forms and Global Curvature Conditions," Econometrica, Econometric Society, vol. 55(1), pages 43-68, January.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    12. 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.
    13. 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.
    14. 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.
    15. Moschini, Giancarlo & Moro, Daniele, 1994. "Autocorrelation specification in singular equation systems," Economics Letters, Elsevier, vol. 46(4), pages 303-309, December.
    16. 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.
    17. 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.
    18. 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.
    19. 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.
    20. 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.
    21. 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.
    22. Davidson, Russell & MacKinnon, James G., 1993. "Estimation and Inference in Econometrics," OUP Catalogue, Oxford University Press, number 9780195060119.
    23. 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.
    24. 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.
    25. Diewert, W. E. & Wales, T. J., 1988. "A normalized quadratic semiflexible functional form," Journal of Econometrics, Elsevier, vol. 37(3), pages 327-342, March.
    26. Fuss, Melvyn & McFadden, Daniel (ed.), 1978. "Production Economics: A Dual Approach to Theory and Applications," Elsevier Monographs, Elsevier, edition 1, number 9780444850133.
    27. 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.
    28. 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.
    29. 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.
    30. 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.
    31. 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.
    32. 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.
    33. 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.
    34. 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.
    35. 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.
    36. Anderson, Ronald W, 1979. "Perfect Price Aggregation and Empirical Demand Analysis," Econometrica, Econometric Society, vol. 47(5), pages 1209-1230, September.
    37. 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.
    38. 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.
    39. 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.
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. John Beghin & Jean-Christophe Bureau & Sophie Drogue, 2004. "Calibration of incomplete demand systems in quantitative analysis," Applied Economics, Taylor & Francis Journals, vol. 36(8), pages 839-847.
    2. Maria Erlinda M. Mutuc & Suwen Pan & Roderick M. Rejesus, 2007. "Household vegetable demand in the Philippines: Is there an urban-rural divide?," Agribusiness, John Wiley & Sons, Ltd., vol. 23(4), pages 511-527.
    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Barnett, William A. & Serletis, Apostolos, 2008. "Consumer preferences and demand systems," Journal of Econometrics, Elsevier, vol. 147(2), pages 210-224, December.
    2. Serletis, Apostolos & Xu, Libo, 2021. "Consumption, Leisure, And Money," Macroeconomic Dynamics, Cambridge University Press, vol. 25(6), pages 1412-1441, September.
    3. William A. Barnett & Ikuyasu Usui, 2007. "The Theoretical Regularity Properties of the Normalized Quadratic Consumer Demand Model," International Symposia in Economic Theory and Econometrics, in: Functional Structure Inference, pages 107-127, Emerald Group Publishing Limited.
    4. Ball, V. Eldon & Moss, Charles B. & Erickson, Kenneth W. & Nehring, Richard F., 2003. "Modeling Supply Response In A Multiproduct Framework Revisited: The Nexus Of Empirics And Economics," 2003 Annual meeting, July 27-30, Montreal, Canada 21981, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    5. Kesavan, Thulasiram, 1988. "Monte Carlo experiments of market demand theory," ISU General Staff Papers 198801010800009854, Iowa State University, Department of Economics.
    6. Holt, Matthew T. & Goodwin, Barry K., 2009. "The Almost Ideal and Translog Demand Systems," MPRA Paper 15092, University Library of Munich, Germany.
    7. Rosario Crinò, 2010. "Service Offshoring and White-Collar Employment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 77(2), pages 595-632.
    8. Jin, Man, 2018. "Measuring substitution in China's monetary-assets demand system," China Economic Review, Elsevier, vol. 50(C), pages 117-132.
    9. LaFrance, Jeffrey T., 2008. "The structure of US food demand," Journal of Econometrics, Elsevier, vol. 147(2), pages 336-349, December.
    10. Moro, Daniele & Sckokai, Paolo, 1999. "A Quadratic Inverse Demand System," 1999 Annual meeting, August 8-11, Nashville, TN 21560, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    11. Barnett, William A. & Serletis, Apostolos, 2008. "Measuring Consumer Preferences and Estimating Demand Systems," MPRA Paper 12318, University Library of Munich, Germany.
    12. Douglas Fisher & Adrian R. Fleissig & Apostolos Serletis, 2006. "An Empirical Comparison of Flexible Demand System Functional Forms," World Scientific Book Chapters, in: Money And The Economy, chapter 13, pages 247-277, World Scientific Publishing Co. Pte. Ltd..
    13. Serletis, Apostolos & Shahmoradi, Asghar, 2010. "Consumption effects of government purchases," Journal of Macroeconomics, Elsevier, vol. 32(3), pages 892-905, September.
    14. William A. Barnett & Milka Kirova & Meenakshi Pasupathy, 1996. "Technology Modeling: Curvature is not Sufficient for Regularity," Econometrics 9602002, University Library of Munich, Germany, revised 24 Jun 1999.
    15. Serletis, Apostolos & Xu, Libo, 2020. "Functional monetary aggregates, monetary policy, and business cycles," Journal of Economic Dynamics and Control, Elsevier, vol. 121(C).
    16. Daniele Moro & Paolo Sckokai, 2002. "Functional separability within a quadratic inverse demand system," Applied Economics, Taylor & Francis Journals, vol. 34(3), pages 285-293.
    17. Thompson, Gary D., 1988. "Choice Of Flexible Functional Forms: Review And Appraisal," Western Journal of Agricultural Economics, Western Agricultural Economics Association, vol. 13(2), pages 1-15, December.
    18. Njonou, Rabelais Yankam & Frahan, Bruno Henry de & Surry, Yves R., 2002. "Testing Separability for Common Wheat Qualities in French Import Demand Market Using Aids and Rotterdam Demand Models," 2002 International Congress, August 28-31, 2002, Zaragoza, Spain 24921, European Association of Agricultural Economists.
    19. Rosario Crino, 2006. "Are U.S. White-Collar Really at Risk of Service Offshoring?," KITeS Working Papers 183, KITeS, Centre for Knowledge, Internationalization and Technology Studies, Universita' Bocconi, Milano, Italy, revised Oct 2006.
    20. William A. Barnett & Jane Binner & W. Erwin Diewert, 2005. "Functional Structure and Approximation in Econometrics (book front matter)," Econometrics 0511006, University Library of Munich, Germany.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ias:cpaper:00-wp265. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/caiasus.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.