Departures from Slutsky Symmetry in Household Demand Models
Maximisation of utility by a single consumer subject to a linear budget constraint is well known to imply strong restrictions on the properties of demand functions. Empirical applications to data on households however frequently reject these restrictions. In particular such data frequently show a failure of Slutsky symmetry - the restriction of symmetry on the matrix of compensated price responses. Browning and Chiappori (1998) show that under assumptions of efficient within-household decision making, the counterpart to the Slutsky matrix for demands from a k member household will be the sum of a symmetric matrix and a matrix of rank k-1. We establish the rank of the departure from Slutsky symmetry for couples under the assumption of Nash equilibrium in individual demands. We show that the Slutsky matrix is the sum of a symmetric matrix and another of rank at most 2. This result implies not only that the Browning-Chiappori assumption of efficiency can be tested against other models within the class of those based on individual optimisation, but also that the hypothesis of Nash equilibrium in demands has testable content against a general alternative.
|Date of creation:||01 Aug 2000|
|Date of revision:|
|Contact details of provider:|| Phone: 1 212 998 3820|
Fax: 1 212 995 4487
Web page: http://www.econometricsociety.org/pastmeetings.asp
More information through EDIRC
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Kemp, Murray C., 1984. "A note of the theory of international transfers," Economics Letters, Elsevier, vol. 14(2-3), pages 259-262.
- Manser, Marilyn & Brown, Murray, 1980. "Marriage and Household Decision-Making: A Bargaining Analysis," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 21(1), pages 31-44, February.
- Marjorie B. McElroy, 1990. "The Empirical Content of Nash-Bargained Household Behavior," Journal of Human Resources, University of Wisconsin Press, vol. 25(4), pages 559-583.
- Deaton, Angus, 1990.
"Price elasticities from survey data : Extensions and Indonesian results,"
Journal of Econometrics,
Elsevier, vol. 44(3), pages 281-309, June.
- Deaton, A., 1990. "Price Elasticities From Surveys Data: Extensions And Indonesian Results," Papers 69, World Bank - Living Standards Measurement.
- Deaton, A., 1988. "Price Elasticities From Survey Data: Extensions And Indonesian Results," Papers 138, Princeton, Woodrow Wilson School - Development Studies.
- Bergstrom, Theodore & Blume, Lawrence & Varian, Hal, 1986. "On the private provision of public goods," Journal of Public Economics, Elsevier, vol. 29(1), pages 25-49, February.
- 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.
- Browning, M. & Chiappori, P.A., 1994.
"Efficient Intra-Household allocations: A General Characterization and Empirical Tests,"
DELTA Working Papers
94-16, DELTA (Ecole normale supérieure).
- M. Browning & P. A. Chiappori, 1998. "Efficient Intra-Household Allocations: A General Characterization and Empirical Tests," Econometrica, Econometric Society, vol. 66(6), pages 1241-1278, November.
- Martin Browning & Pierre-Andre Chiappori, 1994. "Efficient Intra-Household Allocations: a General Characterization and Empirical Tests," Department of Economics Working Papers 1994-02, McMaster University.
- Martin Browning & P.A. Chiappori, 1996. "Efficient Intra-Household Allocations - A General Characterization and Empirical Tests," Discussion Papers 96-10, University of Copenhagen. Department of Economics.
- Browning, Martin & Meghir, Costas, 1991. "The Effects of Male and Female Labor Supply on Commodity Demands," Econometrica, Econometric Society, vol. 59(4), pages 925-51, July.
- Browning, Martin & Francois Bourguignon & Pierre-Andre Chiappori & Valerie Lechene, 1994.
"Income and Outcomes: A Structural Model of Intrahousehold Allocation,"
Journal of Political Economy,
University of Chicago Press, vol. 102(6), pages 1067-96, December.
- Browning, M. & Bourguignon, F. & Chiappori, P.A. & Lechene, V., 1992. "Incomes and Outcomes: A structural Model of Intra-Household Allocation," DELTA Working Papers 92-23, DELTA (Ecole normale supérieure).
- McElroy, Marjorie B & Horney, Mary Jean, 1981. "Nash-Bargained Household Decisions: Toward a Generalization of the Theory of Demand," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 22(2), pages 333-49, June.
- Warr, Peter G., 1983. "The private provision of a public good is independent of the distribution of income," Economics Letters, Elsevier, vol. 13(2-3), pages 207-211.
When requesting a correction, please mention this item's handle: RePEc:ecm:wc2000:1809. 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: (Christopher F. Baum)
If references are entirely missing, you can add them using this form.