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Stationary Equilibrium In An Altruistic Two Sector Economy

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  • Subir Chattopadhyay

    (Universidad de Alicante)

Abstract

We study an overlapping generations economy with altruistic agents in which the productivity of a child?s labour endowment depends on an idiosyncratic shock and on the resources spent by her parent in education her. The parent cannot borrow but can leave a nonnegative bequest which earns a deterministic return in the capital market; this possibility mitigates the liquidity constraint faced by an agent when deciding on the level of education for her child. The shock is assumed to follow a Markov process thus allowing for serial correlation in abilities. A stationary equilibrium of the model is a situation in which the endogenously determined aggregate amounts of capital and efficiency units of labour remain constant, so factor prices are constant, the choices made by agents can be summarized via an invariant distribution, and factor supplies are determined by the mean, taken with respect to the invariant distribution, of the agents? decision rules, and all the markets clear. We develop and discuss conditions under which a stationary equilibrium exists.

Suggested Citation

  • Subir Chattopadhyay, 2003. "Stationary Equilibrium In An Altruistic Two Sector Economy," Working Papers. Serie AD 2003-07, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    • Handle: RePEc:ivi:wpasad:2003-07
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    References listed on IDEAS

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    1. Gary Chamberlain & Charles A. Wilson, 2000. "Optimal Intertemporal Consumption Under Uncertainty," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 3(3), pages 365-395, July.
    2. Loury, Glenn C, 1981. "Intergenerational Transfers and the Distribution of Earnings," Econometrica, Econometric Society, vol. 49(4), pages 843-867, June.
    3. S. Rao Aiyagari, 1994. "Uninsured Idiosyncratic Risk and Aggregate Saving," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 109(3), pages 659-684.
    4. Aiyagari, S Rao, 1995. "Optimal Capital Income Taxation with Incomplete Markets, Borrowing Constraints, and Constant Discounting," Journal of Political Economy, University of Chicago Press, vol. 103(6), pages 1158-1175, December.
    5. William A. Brock & Leonard J. Mirman, 2001. "Optimal Economic Growth And Uncertainty: The Discounted Case," Chapters, in: W. D. Dechert (ed.), Growth Theory, Nonlinear Dynamics and Economic Modelling, chapter 1, pages 3-37, Edward Elgar Publishing.
    6. Huggett, Mark, 1997. "The one-sector growth model with idiosyncratic shocks: Steady states and dynamics," Journal of Monetary Economics, Elsevier, vol. 39(3), pages 385-403, August.
    7. Hopenhayn, Hugo A & Prescott, Edward C, 1992. "Stochastic Monotonicity and Stationary Distributions for Dynamic Economies," Econometrica, Econometric Society, vol. 60(6), pages 1387-1406, November.
    8. Laitner, John, 1992. "Random earnings differences, lifetime liquidity constraints, and altruistic intergenerational transfers," Journal of Economic Theory, Elsevier, vol. 58(2), pages 135-170, December.
    9. Schechtman, Jack & Escudero, Vera L. S., 1977. "Some results on "an income fluctuation problem"," Journal of Economic Theory, Elsevier, vol. 16(2), pages 151-166, December.
    10. Feldman, Mark & Gilles, Christian, 1985. "An expository note on individual risk without aggregate uncertainty," Journal of Economic Theory, Elsevier, vol. 35(1), pages 26-32, February.
    11. Huggett, Mark, 1993. "The risk-free rate in heterogeneous-agent incomplete-insurance economies," Journal of Economic Dynamics and Control, Elsevier, vol. 17(5-6), pages 953-969.
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