IDEAS home Printed from https://ideas.repec.org/p/ivi/wpasad/2003-07.html
   My bibliography  Save this paper

Stationary Equilibrium In An Altruistic Two Sector Economy

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.ivie.es/downloads/docs/wpasad/wpasad-2003-07.pdf
    File Function: Fisrt version / Primera version, 2003
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Marcet, Albert & Obiols-Homs, Francesc & Weil, Philippe, 2007. "Incomplete markets, labor supply and capital accumulation," Journal of Monetary Economics, Elsevier, vol. 54(8), pages 2621-2635, November.
    2. repec:hal:spmain:info:hdl:2441/8623 is not listed on IDEAS
    3. repec:spo:wpecon:info:hdl:2441/8713 is not listed on IDEAS
    4. Albert Marcet & Francesc Obiols-Homs, 2006. "Polarization under incomplete markets and endogenous labor productivity," 2006 Meeting Papers 274, Society for Economic Dynamics.
    5. repec:hal:spmain:info:hdl:2441/8713 is not listed on IDEAS
    6. repec:hal:wpspec:info:hdl:2441/8713 is not listed on IDEAS
    7. repec:spo:wpmain:info:hdl:2441/8623 is not listed on IDEAS
    8. repec:spo:wpmain:info:hdl:2441/8713 is not listed on IDEAS
    9. Miao, Jianjun, 2006. "Competitive equilibria of economies with a continuum of consumers and aggregate shocks," Journal of Economic Theory, Elsevier, vol. 128(1), pages 274-298, May.
    10. repec:spo:wpecon:info:hdl:2441/8623 is not listed on IDEAS
    11. repec:hal:wpspec:info:hdl:2441/8623 is not listed on IDEAS
    12. Benhabib, Jess & Bisin, Alberto & Zhu, Shenghao, 2015. "The wealth distribution in Bewley economies with capital income risk," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 489-515.
    13. Shenghao Zhu, 2020. "Existence Of Stationary Equilibrium In An Incomplete‐Market Model With Endogenous Labor Supply," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 61(3), pages 1115-1138, August.
    14. 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.
    15. S. Viswanathan & Adriano Rampini, 2013. "Household risk management," 2013 Meeting Papers 647, Society for Economic Dynamics.
    16. Geanakoplos, John & Karatzas, Ioannis & Shubik, Martin & Sudderth, William D., 2014. "Inflationary equilibrium in a stochastic economy with independent agents," Journal of Mathematical Economics, Elsevier, vol. 52(C), pages 1-11.
    17. Datta, Manjira & Mirman, Leonard J. & Morand, Olivier F. & Reffett, Kevin L., 2005. "Markovian equilibrium in infinite horizon economies with incomplete markets and public policy," Journal of Mathematical Economics, Elsevier, vol. 41(4-5), pages 505-544, August.
    18. Lehrer, Ehud & Light, Bar, 2018. "The effect of interest rates on consumption in an income fluctuation problem," Journal of Economic Dynamics and Control, Elsevier, vol. 94(C), pages 63-71.
    19. Açıkgöz, Ömer T., 2018. "On the existence and uniqueness of stationary equilibrium in Bewley economies with production," Journal of Economic Theory, Elsevier, vol. 173(C), pages 18-55.
    20. Rampini, Adriano A. & Viswanathan, S., 2018. "Financing Insurance," CEPR Discussion Papers 12855, C.E.P.R. Discussion Papers.
    21. Joseph W. Gruber & Robert F. Martin, 2003. "Precautionary savings and the wealth distribution with illiquid durables," International Finance Discussion Papers 773, Board of Governors of the Federal Reserve System (U.S.).
    22. Liu, Xiying, 2015. "Optimal population and policy implications," ISU General Staff Papers 201501010800005546, Iowa State University, Department of Economics.
    23. Jonathan Heathcote, 2003. "On the Distributional Effects of Reducing Capital Taxes (previously: Factor Taxation with Heterogeneous Agents)," Working Papers gueconwpa~03-03-22, Georgetown University, Department of Economics.
    24. François Le Grand & Xavier Ragot, 2022. "Managing Inequality Over Business Cycles: Optimal Policies With Heterogeneous Agents And Aggregate Shocks," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 63(1), pages 511-540, February.
    25. Bayer, Christian & Rendall, Alan D. & Wälde, Klaus, 2019. "The invariant distribution of wealth and employment status in a small open economy with precautionary savings," Journal of Mathematical Economics, Elsevier, vol. 85(C), pages 17-37.
    26. John Stachurski, 2009. "Economic Dynamics: Theory and Computation," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262012774, April.
    27. Huggett, Mark & Ospina, Sandra, 2001. "Aggregate precautionary savings: when is the third derivative irrelevant?," Journal of Monetary Economics, Elsevier, vol. 48(2), pages 373-396, October.
    28. Athreya, Kartik B., 2014. "Big Ideas in Macroeconomics: A Nontechnical View," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262019736, April.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ivi:wpasad:2003-07. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Departamento de Edición (email available below). General contact details of provider: https://edirc.repec.org/data/ievages.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.