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Quantity Rationing and Concavity in a Flexible Household Labor Supply Model

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  • Kapteyn, Arie
  • Kooreman, Peter
  • van Soest, Arthur

Abstract

In the first part of this paper, the authors derive explicit expressions for the direct utility functions, conditional demand equations, and concavity conditions in both price/income and quantity space for the demand system introduced by Hausman and Ruud (1984). These results are then used in an empirical static family labor supply model, in which kinked budget constraints and unemployment benefits are taken into account for both spouses. Imposition of concavity is necessary for consistent estimation and the concavity constraint appears to be binding. Copyright 1990 by MIT Press.

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  • Kapteyn, Arie & Kooreman, Peter & van Soest, Arthur, 1990. "Quantity Rationing and Concavity in a Flexible Household Labor Supply Model," The Review of Economics and Statistics, MIT Press, vol. 72(1), pages 55-62, February.
  • Handle: RePEc:tpr:restat:v:72:y:1990:i:1:p:55-62
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    References listed on IDEAS

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    1. Heckman, James J, 1974. "Shadow Prices, Market Wages, and Labor Supply," Econometrica, Econometric Society, vol. 42(4), pages 679-694, July.
    2. Ransom, Michael R., 1987. "A comment on consumer demand systems with binding non-negativity constraints," Journal of Econometrics, Elsevier, vol. 34(3), pages 355-359, March.
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    6. McElroy, Marjorie B, 1987. "Additive General Error Models for Production, Cost, and Derived Demand or Share Systems," Journal of Political Economy, University of Chicago Press, vol. 95(4), pages 737-757, August.
    7. Arrufat, Jose Luis & Zabalza, Antonio, 1986. "Female Labor Supply with Taxation, Random Preferences, and Optimization Errors," Econometrica, Econometric Society, vol. 54(1), pages 47-63, January.
    8. Heckman, James, 2013. "Sample selection bias as a specification error," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 31(3), pages 129-137.
    9. Neary, J. P. & Roberts, K. W. S., 1980. "The theory of household behaviour under rationing," European Economic Review, Elsevier, vol. 13(1), pages 25-42, January.
    10. Blomquist, N. Soren, 1983. "The effect of income taxation on the labor supply of married men in Sweden," Journal of Public Economics, Elsevier, vol. 22(2), pages 169-197, November.
    11. Ransom, Michael R, 1987. "An Empirical Model of Discrete and Continuous Choice in Family Labor Supply," The Review of Economics and Statistics, MIT Press, vol. 69(3), pages 465-472, August.
    12. Smith, Richard J & Blundell, Richard W, 1986. "An Exogeneity Test for a Simultaneous Equation Tobit Model with an Application to Labor Supply," Econometrica, Econometric Society, vol. 54(3), pages 679-685, May.
    13. 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.
    14. 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 333-349, June.
    15. Lundberg, Shelly J, 1988. "Labor Supply of Husbands and Wives: A Simultaneous Equations Approach," The Review of Economics and Statistics, MIT Press, vol. 70(2), pages 224-235, May.
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    Cited by:

    1. Olivier Donni & Eleonora Matteazzi, 2012. "On the Importance of Household Production in Collective Models: Evidence from U.S. Data," Annals of Economics and Statistics, GENES, issue 105-106, pages 99-125.
    2. Garcia, Inmaculada & Molina, Jose Alberto, 2001. "Labour Supply and Inequality for Wage-Earning Farm Households in Spain," Agricultural Economics Review, Greek Association of Agricultural Economists, vol. 2(1), January.
    3. Lennart Flood & Nizamul Islam, 2005. "A Monte Carlo evaluation of discrete choice labour supply models," Applied Economics Letters, Taylor & Francis Journals, vol. 12(5), pages 263-266.
    4. Hans G. Bloemen & Arie Kapteyn, 2008. "The estimation of utility-consistent labor supply models by means of simulated scores," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 23(4), pages 395-422.
    5. Callan, T. & van Soest, A.H.O., 1994. "Family labour supply and taxes in Ireland," Discussion Paper 1994-26, Tilburg University, Center for Economic Research.
    6. Steinar StrØm & John K. Dagsvik, 2006. "Sectoral labour supply, choice restrictions and functional form," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(6), pages 803-826.
    7. Rolf Aaberge & Ugo Colombino & Steinar Strøm & Tom Wennemo, 2005. "Joint Labour Supply of Married Couples: Efficiency and Distribution Effects of Tax and Labour Market Reforms," Labor and Demography 0501004, EconWPA.
    8. Lennart Flood & Jörgen Hansen & Roger Wahlberg, 2004. "Household Labor Supply and Welfare Participation in Sweden," Journal of Human Resources, University of Wisconsin Press, vol. 39(4).
    9. André de Palma & Nathalie Picard & Ignacio Inoa, 2014. "Discrete choice decision-making with multiple decision-makers within the household," Chapters,in: Handbook of Choice Modelling, chapter 16, pages 363-382 Edward Elgar Publishing.
    10. Aaberge, R. & Colombino, U. & Strom, S. & Wennemo, T., 1998. "Evaluating alternative tax reforms in Italy with a model of joint labor supply of married couples," Structural Change and Economic Dynamics, Elsevier, vol. 9(4), pages 415-433, December.
    11. Jaime Andres Sarmiento Espinel & Edwin van Gameren, 2016. "A collective household labor supply model with children and non-participation: Theory and empirical application," Serie documentos de trabajo del Centro de Estudios Económicos 2016-11, El Colegio de México, Centro de Estudios Económicos.
    12. Flood, Lennart & Pylkkänen, Elina & Wahlberg, Roger, 2003. "From Welfare to Work: Evaluating a Proposed Tax and Benefit Reform Targeted at Single Mothers in Sweden," Working Papers in Economics 107, University of Gothenburg, Department of Economics.
    13. Menno Pradhan & Arthur Van Soest, 1997. "Household Labor Supply In Urban Areas Of Bolivia," The Review of Economics and Statistics, MIT Press, vol. 79(2), pages 300-310, May.
    14. Pradhan, M.P. & van Soest, A.H.O., 1994. "Household labour supply in urban areas of a developing country," Discussion Paper 1994-29, Tilburg University, Center for Economic Research.
    15. Callan, Tim & van Soest, Arthur & Walsh, John R., 2007. "Tax Structure and Female Labour Market Participation: Evidence from Ireland," IZA Discussion Papers 3090, Institute for the Study of Labor (IZA).
    16. repec:emx:esteco:v:33:y:2018:i:1:p:65-115 is not listed on IDEAS
    17. John K. Dagsvik & Steinar StrF8m, 2002. "Analyzing labor supply behavior with latent job opportunity sets and institutional choice constraints," ICER Working Papers 15-2002, ICER - International Centre for Economic Research.
    18. John K. Dagsvik & Zhiyang Jia, 2008. "An Alternative Approach to Labor Supply Modeling. Emphasizing Job-type as Choice Variable," Discussion Papers 550, Statistics Norway, Research Department.
    19. Guyonne Kalb & Thor Thoresen, 2010. "A comparison of family policy designs of Australia and Norway using microsimulation models," Review of Economics of the Household, Springer, vol. 8(2), pages 255-287, June.
    20. John K. Dagsvik & Zhiyang Jia, 2006. "Labor Supply as a Choice among Latent Job Opportunities. A Practical Empirical Approach," Discussion Papers 481, Statistics Norway, Research Department.
    21. Bradley T. Heim, 2009. "Structural Estimation of Family Labor Supply with Taxes: Estimating a Continuous Hours Model Using a Direct Utility Specification," Journal of Human Resources, University of Wisconsin Press, vol. 44(2).
    22. Tim Callan & Arthur van Soest & John R. Walsh, 2009. "Tax Structure and Female Labour Supply: Evidence from Ireland," LABOUR, CEIS, vol. 23(1), pages 1-35, March.

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