IDEAS home Printed from https://ideas.repec.org/a/oup/restud/v50y1983i1p71-86..html
   My bibliography  Save this article

Total Utility, Overlapping Generations and Optimal Population

Author

Listed:
  • Gary Anthony Gigliotti

Abstract

The necessary and sufficient conditions for the solution to an optimal population growth model with overlapping generations, using the sum of total utility per generation as the objective function are derived. The solution for a specific, steady state model and an example are presented, and compared to that for a similar model without overlapping generations. In both cases, a positive, but less than infinite, optimal growth rate is found. Next, since an additively separable individual utility function is used, the differences between a total utility per generation model and a total utility per period model, a la Lerner, are discussed. Finally, the results of the total utility model are compared to those from a model in which the discounted sum of per capita utility is the objective function. An extension to the Samuelson-Lerner Utility Paradox, concerning the optimal rate of population growth, is discussed.

Suggested Citation

  • Gary Anthony Gigliotti, 1983. "Total Utility, Overlapping Generations and Optimal Population," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 50(1), pages 71-86.
    • Handle: RePEc:oup:restud:v:50:y:1983:i:1:p:71-86.
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.2307/2296955
    Download Restriction: Access to full text is restricted to subscribers.
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Robinson, James A. & Srinivasan, T.N., 1993. "Long-term consequences of population growth: Technological change, natural resources, and the environment," Handbook of Population and Family Economics, in: M. R. Rosenzweig & Stark, O. (ed.), Handbook of Population and Family Economics, edition 1, volume 1, chapter 21, pages 1175-1298, Elsevier.
    2. Dasgupta, Partha, 1998. "Population, consumption and resources: Ethical issues," Ecological Economics, Elsevier, vol. 24(2-3), pages 139-152, February.
    3. C. Simon Fan & Oded Stark, 2008. "Looking At The "Population Problem" Through The Prism Of Heterogeneity: Welfare And Policy Analyses," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 49(3), pages 799-835, August.
    4. Luigi Aldieri & Gennaro Guida & Maxim Kotsemir & Concetto Paolo Vinci, 2019. "An investigation of impact of research collaboration on academic performance in Italy," Quality & Quantity: International Journal of Methodology, Springer, vol. 53(4), pages 2003-2040, July.
    5. Cockburn, John & Duclos, Jean-Yves & Zabsonré, Agnès, 2014. "Is global social welfare increasing? A critical-level enquiry," Journal of Public Economics, Elsevier, vol. 118(C), pages 151-162.
    6. Cuberes, David & Tamura, Robert, 2014. "Equilibrium and Optimal Fertility with Increasing Returns to Population and Endogenous Fertility," MPRA Paper 57063, University Library of Munich, Germany.
    7. Robert TAMURA & David CUBERES, 2020. "Equilibrium and A-efficient Fertility with Increasing Returns to Population and Endogenous Mortality," JODE - Journal of Demographic Economics, Cambridge University Press, vol. 86(2), pages 157-182, June.
    8. Marietta A. Constantinides, 1988. "Optimal Population Growth and the Social Welfare Function," Eastern Economic Journal, Eastern Economic Association, vol. 14(3), pages 229-238, Jul-Sep.
    9. Satoshi Nakano & Kazuhiko Nishimura, 2016. "Optimal Population in a Finite Horizon," Papers 1608.01535, arXiv.org, revised Jan 2018.

    More about this item

    Statistics

    Access and download statistics

    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:oup:restud:v:50:y:1983:i:1:p:71-86.. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Oxford University Press (email available below). General contact details of provider: https://academic.oup.com/restud .

    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.