IDEAS home Printed from https://ideas.repec.org/p/ulb/ulbeco/2013-251996.html
   My bibliography  Save this paper

Revealed preference tests for weak separability: An integer programming approach

Author

Listed:
  • Laurens Cherchye
  • Thomas Demuynck
  • Per Hjertstrand
  • Bram De Rock

Abstract

We focus on the revealed preference conditions that characterize the collection of finite data sets that are consistent with the maximization of a weakly separable utility function. From a theoretical perspective, we show that verifying these revealed preference conditions is a difficult problem, i.e. it is np-complete. From a practical perspective, we present an integer programming approach that can verify the revealed preference conditions in a straightforward way, which is particularly attractive in view of empirical analysis. We demonstrate the versatility of this integer programming approach by showing that it also allows for testing homothetic separability and weak separability of the indirect utility function. We illustrate the practical usefulness of the approach by an empirical application to Spanish household consumption data.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Laurens Cherchye & Thomas Demuynck & Per Hjertstrand & Bram De Rock, 2015. "Revealed preference tests for weak separability: An integer programming approach," ULB Institutional Repository 2013/251996, ULB -- Universite Libre de Bruxelles.
  • Handle: RePEc:ulb:ulbeco:2013/251996
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Varian, Hal R, 1982. "The Nonparametric Approach to Demand Analysis," Econometrica, Econometric Society, vol. 50(4), pages 945-973, July.
    2. Martin Browning & M. Dolores Collado, 2001. "The Response of Expenditures to Anticipated Income Changes: Panel Data Estimates," American Economic Review, American Economic Association, vol. 91(3), pages 681-692, June.
    3. Cherchye, Laurens & Demuynck, Thomas & De Rock, Bram, 2011. "Testable implications of general equilibrium models: An integer programming approach," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 564-575.
    4. Raghbendra Jha & Ibotombi Longjam, 2006. "Structure of Financial Savings During Indian Economic Reforms," Empirical Economics, Springer, vol. 31(4), pages 861-869, November.
    5. Elger, C. Thomas & Jones, Barry E. & Edgerton, David L. & Binner, Jane M., 2008. "A Note On The Optimal Level Of Monetary Aggregation In The United Kingdom," Macroeconomic Dynamics, Cambridge University Press, vol. 12(01), pages 117-131, February.
    6. Cherchye, Laurens & De Rock, Bram & Sabbe, Jeroen & Vermeulen, Frederic, 2008. "Nonparametric tests of collectively rational consumption behavior: An integer programming procedure," Journal of Econometrics, Elsevier, vol. 147(2), pages 258-265, December.
    7. Donald J. Brown & Chris Shannon, 2000. "Uniqueness, Stability, and Comparative Statics in Rationalizable Walrasian Markets," Econometrica, Econometric Society, vol. 68(6), pages 1529-1540, November.
    8. Fleissig, Adrian R. & Whitney, Gerald A., 2008. "A nonparametric test of weak separability and consumer preferences," Journal of Econometrics, Elsevier, vol. 147(2), pages 275-281, December.
    9. Belongia, Michael T & Chrystal, K Alec, 1991. "An Admissible Monetary Aggregate for the United Kingdom," The Review of Economics and Statistics, MIT Press, vol. 73(3), pages 497-503, August.
    10. Diewert, W Erwin, 1978. "Superlative Index Numbers and Consistency in Aggregation," Econometrica, Econometric Society, vol. 46(4), pages 883-900, July.
    11. Cox, James C, 1997. "On Testing the Utility Hypothesis," Economic Journal, Royal Economic Society, vol. 107(443), pages 1054-1078, July.
    12. Diewert, W. E. & Parkan, C., 1985. "Tests for the consistency of consumer data," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 127-147.
    13. Laurens Cherchye & Bram De Rock & Frederic Vermeulen, 2007. "The Collective Model of Household Consumption: A Nonparametric Characterization," Econometrica, Econometric Society, vol. 75(2), pages 553-574, March.
    14. Swofford, James L & Whitney, Gerald A, 1988. "Comparison of Nonparametric Tests of Weak Separability for Annual and Quarterly Data on Consumption, Leisure, and Money," Journal of Business & Economic Statistics, American Statistical Association, vol. 6(2), pages 241-246, April.
    15. Blackorby Charles & Russell R. Robert, 1994. "The Conjunction of Direct and Indirect Separability," Journal of Economic Theory, Elsevier, vol. 62(2), pages 480-498, April.
    16. Richard Blundell & Jean-Marc Robin, 2000. "Latent Separability: Grouping Goods without Weak Separability," Econometrica, Econometric Society, vol. 68(1), pages 53-84, January.
    17. Blundell, Richard & Kristensen, Dennis & Matzkin, Rosa, 2014. "Bounding quantile demand functions using revealed preference inequalities," Journal of Econometrics, Elsevier, vol. 179(2), pages 112-127.
    18. Swofford, James L & Whitney, Gerald A, 1987. "Nonparametric Tests of Utility Maximization and Weak Separability for Consumption, Leisure and Money," The Review of Economics and Statistics, MIT Press, vol. 69(3), pages 458-464, August.
    19. Fleissig, Adrian R & Whitney, Gerald A, 2003. "A New PC-Based Test for Varian's Weak Separability Conditions," Journal of Business & Economic Statistics, American Statistical Association, vol. 21(1), pages 133-144, January.
    20. Patterson, Kerry D, 1991. "A Non-parametric Analysis of Personal Sector Decisions on Consumption, Liquid Assets and Leisure," Economic Journal, Royal Economic Society, vol. 101(408), pages 1103-1116, September.
    21. Deaton,Angus & Muellbauer,John, 1980. "Economics and Consumer Behavior," Cambridge Books, Cambridge University Press, number 9780521296762.
    22. Ian Crawford, 2010. "Habits Revealed," Review of Economic Studies, Oxford University Press, vol. 77(4), pages 1382-1402.
    23. Ian Crawford, 2004. "Necessary and sufficient conditions for latent separability," CeMMAP working papers CWP02/04, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    24. 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.
    25. Richard Blundell & Martin Browning & Ian Crawford, 2007. "Improving Revealed Preference Bounds On Demand Responses," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 48(4), pages 1227-1244, November.
    26. Elger, Thomas & Jones, Barry E., 2008. "Can rejections of weak separability be attributed to random measurement errors in the data?," Economics Letters, Elsevier, vol. 99(1), pages 44-47, April.
    27. Hal R. Varian, 1983. "Non-parametric Tests of Consumer Behaviour," Review of Economic Studies, Oxford University Press, vol. 50(1), pages 99-110.
    28. Stefan Hoderlein & Jörg Stoye, 2014. "Revealed Preferences in a Heterogeneous Population," The Review of Economics and Statistics, MIT Press, vol. 96(2), pages 197-213, May.
    29. Barnhart, Scott W & Whitney, Gerald A, 1988. "Nonparametric Analysis in Parametric Estimation: An Application to Translog Demand Systems," The Review of Economics and Statistics, MIT Press, vol. 70(1), pages 149-153, February.
    30. Selten, Reinhard, 1991. "Properties of a measure of predictive success," Mathematical Social Sciences, Elsevier, vol. 21(2), pages 153-167, April.
    31. James Banks & Richard Blundell & Arthur Lewbel, 1997. "Quadratic Engel Curves And Consumer Demand," The Review of Economics and Statistics, MIT Press, vol. 79(4), pages 527-539, November.
    32. Drake, Leigh & Fleissig, Adrian R., 2008. "A Note On The Policy Implications Of Using Divisia Consumption And Monetary Aggregates," Macroeconomic Dynamics, Cambridge University Press, vol. 12(01), pages 132-149, February.
    33. Rickertsen, Kyrre, 1998. "The demand for food and beverages in Norway," Agricultural Economics, Blackwell, vol. 18(1), pages 89-100, January.
    34. Fisher, Douglas & Fleissig, Adrian R, 1997. "Monetary Aggregation and the Demand for Assets," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 29(4), pages 458-475, November.
    35. Laurens Cherchye & Thomas Demuynck & Bram De Rock, 2011. "Revealed Preference Analysis of Non‐Cooperative Household Consumption," Economic Journal, Royal Economic Society, vol. 121(555), pages 1073-1096, September.
    36. Timothy K. M. Beatty & Ian A. Crawford, 2011. "How Demanding Is the Revealed Preference Approach to Demand?," American Economic Review, American Economic Association, vol. 101(6), pages 2782-2795, October.
    37. Barnett, William A & Choi, Seungmook, 1989. "A Monte Carlo Study of Tests of Blockwise Weak Separability," Journal of Business & Economic Statistics, American Statistical Association, vol. 7(3), pages 363-377, July.
    38. Laurens Cherchye & Bram De Rock & Frederic Vermeulen, 2011. "The revealed preference approach to collective consumption behavior: nonparametric testing and sharing rule recovery," ULB Institutional Repository 2013/98560, ULB -- Universite Libre de Bruxelles.
    39. Diewert, W. E., 1976. "Exact and superlative index numbers," Journal of Econometrics, Elsevier, vol. 4(2), pages 115-145, May.
    40. Laurens Cherchye & Bram De Rock & Frederic Vermeulen, 2011. "The Revealed Preference Approach to Collective Consumption Behaviour: Testing and Sharing Rule Recovery," Review of Economic Studies, Oxford University Press, vol. 78(1), pages 176-198.
    41. Choi, Seungmook & Sosin, Kim, 1992. "Structural Change in the Demand for Money," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 24(2), pages 226-238, May.
    42. Serletis, Apostolos & Rangel-Ruiz, Ricardo, 2005. "Microeconometrics and measurement matters: Some results from monetary economics for Canada," Journal of Macroeconomics, Elsevier, vol. 27(2), pages 307-330, June.
    43. James Swofford, 2005. "Tests of microeconomic foundations of a North American common currency area," Canadian Journal of Economics, Canadian Economics Association, vol. 38(2), pages 420-429, May.
    44. Varian, Hal R, 1984. "The Nonparametric Approach to Production Analysis," Econometrica, Econometric Society, vol. 52(3), pages 579-597, May.
    45. Swofford, James L. & Whitney, Gerald A., 1994. "A revealed preference test for weakly separable utility maximization with incomplete adjustment," Journal of Econometrics, Elsevier, vol. 60(1-2), pages 235-249.
    46. W. E. Diewert, 1973. "Afriat and Revealed Preference Theory," Review of Economic Studies, Oxford University Press, vol. 40(3), pages 419-425.
    47. Laurens Cherchye & Bram De Rock & Frederic Vermeulen, 2011. "The Revealed Preference Approach to Collective Consumption Behaviour: Testing and Sharing Rule Recovery," Review of Economic Studies, Oxford University Press, vol. 78(1), pages 176-198.
    48. Epstein, Larry G. & Yatchew, Adonis J., 1985. "Non-parametric hypothesis testing procedures and applications to demand analysis," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 149-169.
    49. Jones, Barry E. & Dutkowsky, Donald H. & Elger, Thomas, 2005. "Sweep programs and optimal monetary aggregation," Journal of Banking & Finance, Elsevier, vol. 29(2), pages 483-508, February.
    50. Varian, Hal R., 1985. "Non-parametric analysis of optimizing behavior with measurement error," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 445-458.
    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 Quah, 2014. "A test for weakly separable preferences," Economics Series Working Papers 708, University of Oxford, Department of Economics.
    2. Ian Crawford & Bram De Rock, 2014. "Empirical Revealed Preference," Annual Review of Economics, Annual Reviews, vol. 6(1), pages 503-524, August.
    3. D'Amato, Alessio & Mancinelli, Susanna & Zoli, Mariangela, 2016. "Complementarity vs substitutability in waste management behaviors," Ecological Economics, Elsevier, vol. 123(C), pages 84-94.
    4. Abi Adams, 2015. "Mutually consistent revealed preference bounds," IFS Working Papers W15/20, Institute for Fiscal Studies.
    5. Cherchye, Laurens & Demuynck, Thomas & De Rock, Bram, 2018. "Normality of demand in a two-goods setting," Journal of Economic Theory, Elsevier, vol. 173(C), pages 361-382.
    6. Cherchye, Laurens & Demuynck, Thomas & De Rock, Bram, 0. "Transitivity of preferences: when does it matter?," Theoretical Economics, Econometric Society.
    7. Barnett, William & Su, Liting, 2017. "Financial Firm Production of Inside Monetary and Credit Card Services: An Aggregation Theoretic Approach," MPRA Paper 82061, University Library of Munich, Germany.
    8. Hjertstrand, Per & L. Swofford, James & Whitney, Gerald A., 2013. "Revealed Preference Tests of Utility Maximization and Weak Separability of Consumption, Leisure and Money with Incomplete Adjustment," Working Paper Series 971, Research Institute of Industrial Economics.
    9. Jan Heufer & Per Hjertstrand, 2015. "Homothetic Efficiency and Test Power: A Non-Parametric Approach," Tinbergen Institute Discussion Papers 15-064/I, Tinbergen Institute.
    10. repec:kap:openec:v:29:y:2018:i:2:d:10.1007_s11079-017-9453-0 is not listed on IDEAS
    11. William Barnett & Marcelle Chauvet & Danilo Leiva-Leon & Liting Su, 2016. "The Credit-Card-Services Augmented Divisia Monetary Aggregates," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 201604, University of Kansas, Department of Economics, revised Aug 2016.
    12. repec:eee:mateco:v:75:y:2018:i:c:p:19-30 is not listed on IDEAS
    13. Hjertstrand, Per & Jones, Barry E., 2013. "What Do Revealed Preference Axioms Reveal about Elasticities of Demand?," Working Paper Series 972, Research Institute of Industrial Economics.
    14. John Quah, 2012. "A revealed preference test for weakly separable preferences," Economics Series Working Papers 601, University of Oxford, Department of Economics.
    15. William A. Barnett & Neepa B. Gaekwad, 2018. "The Demand for Money for EMU: a Flexible Functional Form Approach," Open Economies Review, Springer, vol. 29(2), pages 353-371, April.
    16. Matthew Polisson, 2018. "A Lattice Test for Additive Separability," Discussion Paper Series, Department of Economics 201801, Department of Economics, University of St. Andrews.
    17. Barnett, William & Su, Liting, 2016. "Risk adjustment of the credit-card augmented Divisia monetary aggregates," MPRA Paper 73248, University Library of Munich, Germany.
    18. Hjertstrand, Per, 2013. "A Simple Method to Account for Measurement Errors in Revealed Preference Tests," Working Paper Series 990, Research Institute of Industrial Economics.
    19. William Barnett & Liting Su, 2017. "Financial Firm Production Of Inside Monetary And Credit Card Services: An Aggregation Theoretic Approach1," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 201707, University of Kansas, Department of Economics, revised Oct 2017.
    20. Laurens Cherchye & Ian Crawford & Bram De Rock & Frederic Vermeulen, 2015. "Revealed Preference and Aggregation," Working Papers ECARES ECARES 2015-08, ULB -- Universite Libre de Bruxelles.

    More about this item

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
    • D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles
    • D10 - Microeconomics - - Household Behavior - - - General

    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:ulb:ulbeco:2013/251996. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Benoit Pauwels). General contact details of provider: http://edirc.repec.org/data/ecsulbe.html .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.