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An Analytical Construction Of Constantinides¿ Social Utility Function

  • Lilia Maliar

    ()

    (Universidad de Alicante)

  • Serguei Maliar

    (Universidad de Alicante)

This paper studies the properties of the social utility function defined by the planner's problem of Constantinides (1982). We show one set of restrictions on the optimal planner's policy rule, which is sufficient for constructing the social utility function analytically. For such well-known classes of utility functions as the HARA and the CES, our construction is equivalent to Gorman's (1953) aggregation. However, we can also construct the social utility function analytically in some cases when Gorman's (1953) representative consumer does not exist; in such cases, the social utility function depends on "heterogeneity" parameters. Our results can be used for simplifying the analysis of equilibrium in dynamic heterogeneous-agent models.

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File URL: http://www.ivie.es/downloads/docs/wpasad/wpasad-2005-25.pdf
File Function: Fisrt version / Primera version, 2005
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Paper provided by Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie) in its series Working Papers. Serie AD with number 2005-25.

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Length: 25 pages
Date of creation: Sep 2005
Date of revision:
Publication status: Published by Ivie
Handle: RePEc:ivi:wpasad:2005-25
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  1. Atkeson, A. & Ogaki, M., 1991. "Wealth-Varying Intertemporal Elasticities of Substitution Evidence from Panel and Aggregate Data," RCER Working Papers 303, University of Rochester - Center for Economic Research (RCER).
  2. Lilia Maliar & Serguei Maliar, 2003. "Preference Shocks From Aggregation: Time Series Data Evidence," Working Papers. Serie AD 2003-35, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  3. Chipman, John S., 1974. "Homothetic preferences and aggregation," Journal of Economic Theory, Elsevier, vol. 8(1), pages 26-38, May.
  4. 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).
  5. Chipman, John S. & Moore, James C., 1979. "On social welfare functions and the aggregation of preferences," Journal of Economic Theory, Elsevier, vol. 21(1), pages 111-139, August.
  6. 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.
  7. Hildenbrand, Werner, 1983. "On the "Law of Demand."," Econometrica, Econometric Society, vol. 51(4), pages 997-1019, July.
  8. Sonnenschein, Hugo, 1972. "Market Excess Demand Functions," Econometrica, Econometric Society, vol. 40(3), pages 549-63, May.
  9. Den Haan, Wouter J., 1997. "Solving Dynamic Models With Aggregate Shocks And Heterogeneous Agents," Macroeconomic Dynamics, Cambridge University Press, vol. 1(02), pages 355-386, June.
  10. 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.
  11. Krusell, P & Smith Jr, A-A, 1995. "Income and Wealth Heterogeneity in the Macroeconomic," RCER Working Papers 399, University of Rochester - Center for Economic Research (RCER).
  12. Masao Ogaki, 2003. "Aggregation under Complete Markets," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(4), pages 977-986, October.
  13. repec:cup:macdyn:v:1:y:1997:i:2:p:355-86 is not listed on IDEAS
  14. Pollak, Robert A, 1971. "Additive Utility Functions and Linear Engel Curves," Review of Economic Studies, Wiley Blackwell, vol. 38(116), pages 401-14, October.
  15. repec:cup:cbooks:9780521424585 is not listed on IDEAS
  16. Jaume Ventura & Francesco Caselli, 2000. "A Representative Consumer Theory of Distribution," American Economic Review, American Economic Association, vol. 90(4), pages 909-926, September.
  17. Shafer, Wayne J, 1977. "Revealed Preference and Aggregation," Econometrica, Econometric Society, vol. 45(5), pages 1173-82, July.
  18. 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).
  19. 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.
  20. Muellbauer, John, 1976. "Community Preferences and the Representative Consumer," Econometrica, Econometric Society, vol. 44(5), pages 979-99, September.
  21. 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.
  22. Freixas, Xavier & Mas-Colell, Andreu, 1987. "Engel Curves Leading to the Weak Axiom in the Aggregate," Econometrica, Econometric Society, vol. 55(3), pages 515-31, May.
  23. E. Eisenberg, 1961. "Aggregation of Utility Functions," Management Science, INFORMS, vol. 7(4), pages 337-350, July.
  24. Geanakoplos, J D & Polemarchakis, H M, 1980. "On the Disaggregation of Excess Demand Functions," Econometrica, Econometric Society, vol. 48(2), pages 315-31, March.
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