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Revealed preference tests for weak separability: an integer programming approach

Listed author(s):
  • Laurens CHERCHYE
  • Thomas DEMUYNCK
  • Bram DE ROCK

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.

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File URL: https://lirias.kuleuven.be/bitstream/123456789/318018/3/DPS1125.pdf
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Paper provided by KU Leuven, Faculty of Economics and Business, Department of Economics in its series Working Papers Department of Economics with number ces11.25.

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Date of creation: Sep 2011
Handle: RePEc:ete:ceswps:ces11.25
Contact details of provider: Web page: http://feb.kuleuven.be/Economics/

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  1. Raghbendra Jha & Ibotombi Longjam, 2006. "Structure of Financial Savings During Indian Economic Reforms," Empirical Economics, Springer, vol. 31(4), pages 861-869, November.
  2. Richard Blundell & Jean-Marc Robin, 2000. "Latent Separability: Grouping Goods without Weak Separability," Econometrica, Econometric Society, vol. 68(1), pages 53-84, January.
  3. 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.
  4. 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.
  5. Varian, Hal R, 1982. "The Nonparametric Approach to Demand Analysis," Econometrica, Econometric Society, vol. 50(4), pages 945-973, July.
  6. 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.
  7. Cox, James C, 1997. "On Testing the Utility Hypothesis," Economic Journal, Royal Economic Society, vol. 107(443), pages 1054-1078, July.
  8. 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.
  9. Hal R. Varian, 1983. "Non-parametric Tests of Consumer Behaviour," Review of Economic Studies, Oxford University Press, vol. 50(1), pages 99-110.
  10. 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.
  11. 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.
  12. 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.
  13. 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, 09.
  14. 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.
  15. Diewert, W. E. & Parkan, C., 1985. "Tests for the consistency of consumer data," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 127-147.
  16. 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, 03.
  17. 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.
  18. 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.
  19. 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.
  20. Selten, Reinhard, 1991. "Properties of a measure of predictive success," Mathematical Social Sciences, Elsevier, vol. 21(2), pages 153-167, April.
  21. 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.
  22. 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.
  23. 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.
  24. Varian, Hal R, 1984. "The Nonparametric Approach to Production Analysis," Econometrica, Econometric Society, vol. 52(3), pages 579-597, May.
  25. 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.
  26. 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.
  27. Rickertsen, Kyrre, 1998. "The demand for food and beverages in Norway," Agricultural Economics, Blackwell, vol. 18(1), pages 89-100, January.
  28. 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.
  29. 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.
  30. W. E. Diewert, 1973. "Afriat and Revealed Preference Theory," Review of Economic Studies, Oxford University Press, vol. 40(3), pages 419-425.
  31. 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.
  32. 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.
  33. 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.
  34. 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.
  35. 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.
  36. 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.
  37. 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.
  38. 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.
  39. 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.
  40. 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.
  41. Deaton,Angus & Muellbauer,John, 1980. "Economics and Consumer Behavior," Cambridge Books, Cambridge University Press, number 9780521296762, October.
  42. Diewert, W. E., 1976. "Exact and superlative index numbers," Journal of Econometrics, Elsevier, vol. 4(2), pages 115-145, May.
  43. Ian Crawford, 2010. "Habits Revealed," Review of Economic Studies, Oxford University Press, vol. 77(4), pages 1382-1402.
  44. Diewert, W Erwin, 1978. "Superlative Index Numbers and Consistency in Aggregation," Econometrica, Econometric Society, vol. 46(4), pages 883-900, July.
  45. 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.
  46. 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.
  47. 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.
  48. 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.
  49. Varian, Hal R., 1985. "Non-parametric analysis of optimizing behavior with measurement error," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 445-458.
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