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Quasi-Linear Preferences In The Macroeconomy: Indeterminacy, Heterogeneity Andthe Representative Consumer


  • Lilia Maliar

    () (Universidad de Alicante)

  • Serguei Maliar

    (Universidad de Alicante)


We use aggregation theory to investigate the link between one-consumer and multi-consumer economies under a quasi-linear class of preferences. Our study is carried out in the context of the neoclassical growth model. The quasi-linear preferences considered are additive in consumption and leisure and linear in leisure. We first show that in a homogeneous agents economy, the individual hours worked are not uniquely determined. We then demonstrate that the indeterminacy can be resolved by introducing heterogeneity. For example, idiosyncratic shocks to productivities or imperfect substitutability of labor restore the uniqueness of equilibrium. As a special case, our analysis includes the indivisible labor model by Hansen (1985).

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  • Lilia Maliar & Serguei Maliar, 2003. "Quasi-Linear Preferences In The Macroeconomy: Indeterminacy, Heterogeneity Andthe Representative Consumer," Working Papers. Serie AD 2003-30, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  • Handle: RePEc:ivi:wpasad:2003-30

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    References listed on IDEAS

    1. Hansen, Gary D., 1985. "Indivisible labor and the business cycle," Journal of Monetary Economics, Elsevier, vol. 16(3), pages 309-327, November.
    2. Kehoe, Timothy J & Levine, David K, 1985. "Comparative Statics and Perfect Foresight in Infinite Horizon Economies," Econometrica, Econometric Society, vol. 53(2), pages 433-453, March.
    3. Maliar, Lilia & Maliar, Serguei, 2001. "Heterogeneity in capital and skills in a neoclassical stochastic growth model," Journal of Economic Dynamics and Control, Elsevier, vol. 25(9), pages 1367-1397, September.
    4. Lilia Maliar & Serguei Maliar, 2003. "The Representative Consumer in the Neoclassical Growth Model with Idiosyncratic Shocks," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(2), pages 368-380, April.
    5. Kydland, Finn E & Prescott, Edward C, 1982. "Time to Build and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 50(6), pages 1345-1370, November.
    6. Rogerson, Richard, 1988. "Indivisible labor, lotteries and equilibrium," Journal of Monetary Economics, Elsevier, vol. 21(1), pages 3-16, January.
    7. S. Rao Aiyagari, 1994. "Uninsured Idiosyncratic Risk and Aggregate Saving," The Quarterly Journal of Economics, Oxford University Press, vol. 109(3), pages 659-684.
    8. Charles Blackorby & William Schworm, 1993. "The Implications of Additive Community Preferences in a Multi-Consumer Economy," Review of Economic Studies, Oxford University Press, vol. 60(1), pages 209-227.
    9. Jaume Ventura & Francesco Caselli, 2000. "A Representative Consumer Theory of Distribution," American Economic Review, American Economic Association, vol. 90(4), pages 909-926, September.
    10. Atkeson, Andrew & Ogaki, Masao, 1996. "Wealth-varying intertemporal elasticities of substitution: Evidence from panel and aggregate data," Journal of Monetary Economics, Elsevier, vol. 38(3), pages 507-534, December.
    11. Cho, Jang-Ok, 1995. "Ex post heterogeneity and the business cycle," Journal of Economic Dynamics and Control, Elsevier, vol. 19(3), pages 533-551, April.
    12. Benhabib, Jess & Farmer, Roger E.A., 1999. "Indeterminacy and sunspots in macroeconomics," Handbook of Macroeconomics,in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 6, pages 387-448 Elsevier.
    13. Kydland, Finn E., 1984. "Labor-force heterogeneity and the business cycle," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 21(1), pages 173-208, January.
    14. Maliar, Lilia & Maliar, Serguei, 2000. "Differential Responses of Labor Supply across Productivity Groups," Journal of Macroeconomics, Elsevier, vol. 22(1), pages 85-108, January.
    15. Castaneda, Ana & Diaz-Gimenez, Javier & Rios-Rull, Jose-Victor, 1998. "Exploring the income distribution business cycle dynamics," Journal of Monetary Economics, Elsevier, vol. 42(1), pages 93-130, June.
    16. Per Krusell & Anthony A. Smith & Jr., 1998. "Income and Wealth Heterogeneity in the Macroeconomy," Journal of Political Economy, University of Chicago Press, vol. 106(5), pages 867-896, October.
    17. Chatterjee, Satyajit, 1994. "Transitional dynamics and the distribution of wealth in a neoclassical growth model," Journal of Public Economics, Elsevier, vol. 54(1), pages 97-119, May.
    18. Constantinides, George M, 1982. "Intertemporal Asset Pricing with Heterogeneous Consumers and without Demand Aggregation," The Journal of Business, University of Chicago Press, vol. 55(2), pages 253-267, April.
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    Cited by:

    1. Lilia Maliar & Serguei Maliar, 2005. "An Analytical Construction Of Constantinides¿ Social Utility Function," Working Papers. Serie AD 2005-25, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).

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