IDEAS home Printed from https://ideas.repec.org/p/mlb/wpaper/806.html
   My bibliography  Save this paper

Bayesian Model Averaging in Consumer Demand Systems with Inequality Constraints

Author

Listed:
  • Chua, C.L.
  • Griffiths, W.E.
  • O'Donnell, C.J.

Abstract

Share equations for the translog and almost ideal demand systems are estimated using Markov Chain Monte Carlo. A common prior on the elasticities and budget shares evaluated at average prices and income is used for both models. It includes equality restrictions (homogeneity, adding up and symmetry) and inequality restrictions (monotonicity and concavity). Posterior densities on the elasticities and shares are obtained; the problem of choosing between the results from the two alternative functional forms is resolved by using Bayesian model averaging. The application is to USDA data for beef, pork and poultry. Estimation of elasticities and shares, evaluated at mean prices and expenditure, is insensitive to model choice. At points away from the means the estimates are sensitive, and model averaging has an impact.

Suggested Citation

  • Chua, C.L. & Griffiths, W.E. & O'Donnell, C.J., 2001. "Bayesian Model Averaging in Consumer Demand Systems with Inequality Constraints," Department of Economics - Working Papers Series 806, The University of Melbourne.
    • Handle: RePEc:mlb:wpaper:806
    as

    Download full text from publisher

    File URL: http://www.economics.unimelb.edu.au/downloads/wpapers-00-01/806.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Stephen Gordon, 1996. "Using Mixtures of Flexible Functional Forms to Estimate Factor Demand Elasticities," Canadian Journal of Economics, Canadian Economics Association, vol. 29(3), pages 717-736, August.
    2. 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.
    3. 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.
    4. Danilov, D.L. & Magnus, J.R., 2001. "On the Harm that Pretesting Does," Discussion Paper 2001-37, Tilburg University, Center for Economic Research.
    5. James A. Chalfant & Richard S. Gray & Kenneth J. White, 1991. "Evaluating Prior Beliefs in a Demand System: The Case of Meat Demand in Canada," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 73(2), pages 476-490.
    6. John Geweke, 1999. "Using Simulation Methods for Bayesian Econometric Models," Computing in Economics and Finance 1999 832, Society for Computational Economics.
    7. Griffiths, William E & Chotikapanich, Duangkamon, 1997. "Bayesian Methodology for Imposing Inequality Constraints on a Linear Expenditure System with Demographic Factors," Australian Economic Papers, Wiley Blackwell, vol. 36(69), pages 321-341, December.
    8. Alston, Julian M. & Chalfant, James A. & Piggott, Nicholas E., 1998. "A Globally Flexible Model of the Effects of Generic Advertising of Beef and Pork on U.S. Meat Demand," 1998 Annual meeting, August 2-5, Salt Lake City, UT 269838, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    9. Deaton, Angus S & Muellbauer, John, 1980. "An Almost Ideal Demand System," American Economic Review, American Economic Association, vol. 70(3), pages 312-326, June.
    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. Hendrik Wolff & Thomas Heckelei & Ron Mittelhammer, 2010. "Imposing Curvature and Monotonicity on Flexible Functional Forms: An Efficient Regional Approach," Computational Economics, Springer;Society for Computational Economics, vol. 36(4), pages 309-339, December.
    2. Griffiths, William E. & Newton, Lisa S. & O'Donnell, Christopher J., 2010. "Predictive densities for models with stochastic regressors and inequality constraints: Forecasting local-area wheat yield," International Journal of Forecasting, Elsevier, vol. 26(2), pages 397-412, April.
    3. Wolff, Hendrik & Heckelei, Thomas & Mittelhammer, Ronald C., 2004. "Imposing Monotonicity And Curvature On Flexible Functional Forms," 2004 Annual meeting, August 1-4, Denver, CO 20256, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    4. Claudia Schmidt & Steven C. Deller & Stephan J. Goetz, 2024. "Women farmers and community well‐being under modeling uncertainty," Applied Economic Perspectives and Policy, John Wiley & Sons, vol. 46(1), pages 275-299, March.
    5. Charles J. Romeo, 2016. "Incorporating Prior Information into A GMM Objective For Mixed Logit Demand Systems," Journal of Industrial Economics, Wiley Blackwell, vol. 64(2), pages 336-363, June.
    6. Sanvi Avouyi-Dovi & Christian Pfister & Franck Sédillot, 2019. "French Households’ Portfolio: The Financial Almost Ideal Demand System Appraisal," Working papers 728, Banque de France.

    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. Guy Chapda Nana & Bruno Larue, 2014. "Imposing curvature conditions on flexible functional forms for GNP functions," Empirical Economics, Springer, vol. 47(4), pages 1411-1440, December.
    3. Holt, Matthew T. & Goodwin, Barry K., 2009. "The Almost Ideal and Translog Demand Systems," MPRA Paper 15092, University Library of Munich, Germany.
    4. J. M. Gil & B. Dhehibi & M. Ben Kaabia & A. M. Angulo, 2004. "Non-stationarity and the import demand for virgin olive oil in the European Union," Applied Economics, Taylor & Francis Journals, vol. 36(16), pages 1859-1869.
    5. Serletis, Apostolos & Shahmoradi, Asghar, 2007. "A Note On Imposing Local Curvature In Generalized Leontief Models," Macroeconomic Dynamics, Cambridge University Press, vol. 11(2), pages 290-294, April.
    6. Femenia, Fabienne, 2019. "A Meta-Analysis of the Price and Income Elasticities of Food Demand," German Journal of Agricultural Economics, Humboldt-Universitaet zu Berlin, Department for Agricultural Economics, vol. 68(2), June.
    7. Hanrahan, Kevin F. & Westhoff, Patrick C. & Young, Robert E., II, 2001. "Trade Allocation Modeling: Comparing The Results From Armington And Locally Regular Ai Demand System Specifications Of A Uk Beef Import Demand Allocation Model," 2001 Annual meeting, August 5-8, Chicago, IL 20510, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    8. William E. Griffiths & Duangkamon Chotikapanich & D. S. Prasada Rao, 2005. "Averaging Income Distributions," Bulletin of Economic Research, Wiley Blackwell, vol. 57(4), pages 347-367, October.
    9. Feng, Guohua & Serletis, Apostolos, 2008. "Productivity trends in U.S. manufacturing: Evidence from the NQ and AIM cost functions," Journal of Econometrics, Elsevier, vol. 142(1), pages 281-311, January.
    10. Serletis, Apostolos & Shahmoradi, Asghar, 2010. "Consumption effects of government purchases," Journal of Macroeconomics, Elsevier, vol. 32(3), pages 892-905, September.
    11. Griffiths, William E. & Newton, Lisa S. & O'Donnell, Christopher J., 2010. "Predictive densities for models with stochastic regressors and inequality constraints: Forecasting local-area wheat yield," International Journal of Forecasting, Elsevier, vol. 26(2), pages 397-412, April.
    12. Chang, Dongfeng & Serletis, Apostolos, 2012. "Imposing local curvature in the QUAIDS," Economics Letters, Elsevier, vol. 115(1), pages 41-43.
    13. Lariviere, Eric & Larue, Bruno & Chalfant, Jim, 2000. "Modeling the demand for alcoholic beverages and advertising specifications," Agricultural Economics, Blackwell, vol. 22(2), pages 147-162, March.
    14. Cranfield, J. A. L. & Pellow, Scott, 2004. "The role of global vs. local negativity in functional form selection: an application to Canadian consumer demands," Economic Modelling, Elsevier, vol. 21(2), pages 345-360, March.
    15. Ling-yun He & Li Liu, 2016. "The demand for road transport in China: imposing theoretical regularity and flexible functional forms selection," Papers 1612.02656, arXiv.org.
    16. Chapda Nana, Guy & Larue, Bruno, 2012. "Imposing Curvature Conditions on Flexible Functional Forms to GNP Functions," Working Papers 123308, University of Laval, Center for Research on the Economics of the Environment, Agri-food, Transports and Energy (CREATE).
    17. O'Donnell, Christopher J., 2000. "Estimating The Characteristics Of Homogeneous Functionsusing Flexible Functional Forms," 2000 Conference (44th), January 23-25, 2000, Sydney, Australia 123713, Australian Agricultural and Resource Economics Society.
    18. William Barnett & Meenakshi Pasupathy, 2003. "Regularity of the Generalized Quadratic Production Model: A Counterexample," Econometric Reviews, Taylor & Francis Journals, vol. 22(2), pages 135-154.
    19. Dong, Diansheng & Kaiser, Harry M., 2003. "Estimation of a Censored AIDS Model: A Simulated Amemiya-Tobin Approach," Research Bulletins 122113, Cornell University, Department of Applied Economics and Management.
    20. Ana Maria Santacreu, 2005. "Reaction functions in a small open economy: What role for non-traded inflation?," Working Papers 2014-44, Federal Reserve Bank of St. Louis.

    More about this item

    Keywords

    conditional prior; Marginal likelihood; Metropolis-Hastings algorithm;
    All these keywords.

    JEL classification:

    • C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Bayesian Analysis: General
    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth

    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:mlb:wpaper:806. 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: Dandapani Lokanathan (email available below). General contact details of provider: https://edirc.repec.org/data/demelau.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.