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

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Author Info

  • Lilia Maliar

    () (Universidad de Alicante)

  • Serguei Maliar

    (Universidad de Alicante)

Abstract

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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File URL: http://www.ivie.es/downloads/docs/wpasad/wpasad-2003-30.pdf
File Function: Fisrt version / Primera version, 2003
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Bibliographic Info

Paper provided by Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie) in its series Working Papers. Serie AD with number 2003-30.

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Length: 23 pages
Date of creation: Aug 2003
Date of revision:
Publication status: Published by Ivie
Handle: RePEc:ivi:wpasad:2003-30

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Keywords: Quasi-linear preferences;

References

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  1. Richard Rogerson, 2010. "Indivisible Labor, Lotteries and Equilibrium," Levine's Working Paper Archive 250, David K. Levine.
  2. 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.
  3. Blackorby, Charles & Schworm, William, 1993. "The Implications of Additive Community Preferences in a Multi-consumer Economy," Review of Economic Studies, Wiley Blackwell, vol. 60(1), pages 209-27, January.
  4. Hansen, Gary D., 1985. "Indivisible labor and the business cycle," Journal of Monetary Economics, Elsevier, vol. 16(3), pages 309-327, November.
  5. 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.
  6. 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.
  7. Caselli, F. & Ventura, J., 1996. "A Representative Consumer Theory of Distribution," Working papers 96-11, Massachusetts Institute of Technology (MIT), Department of Economics.
  8. 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.
  9. Maliar, Lilia & Maliar, Serguei, 2000. "Differential Responses of Labor Supply across Productivity Groups," Journal of Macroeconomics, Elsevier, vol. 22(1), pages 85-108, January.
  10. T. J. Kehoe & D. K. Levine, 1982. "Comparative Statics and Perfect Foresight in Infinite Horizon Economies," Working papers 312, Massachusetts Institute of Technology (MIT), Department of Economics.
  11. Lilia Maliar & Serguei Maliar, 1999. "- Heterogeneity In Capital And Skills In A Neoclassical Stochastic Growth Model," Working Papers. Serie AD 1999-21, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  12. S. Rao Aiyagari, 1993. "Uninsured idiosyncratic risk and aggregate saving," Working Papers 502, Federal Reserve Bank of Minneapolis.
  13. 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.
  14. Kydland, Finn E & Prescott, Edward C, 1982. "Time to Build and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 50(6), pages 1345-70, November.
  15. 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 253-67, April.
  16. 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.
  17. 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.
  18. 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.
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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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