IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Login to save this paper or follow this series

Life span and the problem of optimal population size

  • Raouf BOUCEKKINE

    ()

    (UNIVERSITE CATHOLIQUE DE LOUVAIN, Institut de Recherches Economiques et Sociales (IRES), Center for Operations Research and Econometrics (CORE) and GREQAM, Université Aix-Marseille II)

  • Giorgio FABBRI

    ()

    (Dipartimento di Studi Economici S. Vinci, Università di Napoli Parthenope, Naples)

  • Fausto GOZZI

    ()

    (Dipartimento di Scienze Economiche ed Aziendali, Università LUISS - Guido Carli, Rome)

We reconsider the optimal population size problem in a continuous time economy populated by homogenous cohorts with a fixed life span. Linear production functions in the labor input and standard rearing costs are also considered. First, we study under which conditions the successive cohorts will be given the same consumption per capita. We show that this egalitarian rule is optimal whatever the degree of altruism when life spans are infinite. However, when life spans are finite, this rule can only be optimal in the Benthamite case, i.e. when the degree of altruism is maximal. Second, we prove that under finite life spans the Millian welfare function leads to optimal extinction at finite time whatever the lifetime. In contrast, the Benthamite case is much more involved: for isoelastic utility functions, it gives rise to two threshold lifetime values, say T0

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://sites.uclouvain.be/econ/DP/IRES/2011018.pdf
Download Restriction: no

Paper provided by Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES) in its series Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) with number 2011018.

as
in new window

Length: 41
Date of creation: 04 Apr 2011
Date of revision:
Handle: RePEc:ctl:louvir:2011018
Contact details of provider: Postal: Place Montesquieu 3, 1348 Louvain-la-Neuve (Belgium)
Fax: +32 10473945
Web page: http://www.uclouvain.be/ires
Email:


More information through EDIRC

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

as in new window
  1. Boucekkine, R. & Germain, M. & Licandro, O., . "Replacement echoes in the vintage capital growth model," CORE Discussion Papers RP -1275, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  2. Boucekkine, Raouf & Del Rio, Fernando & Licandro, Omar, 2000. "Vintage capital and the dynamics of the AK model," CEPREMAP Working Papers (Couverture Orange) 0003, CEPREMAP.
  3. Raouf Boucekkine & Giorgio Fabbri, 2010. "Assessing the Parfit's Repugnant Conclusion within a canonical endogenous growth set-up," Working Papers 2010_20, Business School - Economics, University of Glasgow.
  4. David N. Weil & Oded Galor, 1999. "From Malthusian Stagnation to Modern Growth," American Economic Review, American Economic Association, vol. 89(2), pages 150-154, May.
  5. Nerlove, Marc & Razin, Assaf & Sadka, Efraim, 1985. "Population Size: Individual Choice and Social Optima," The Quarterly Journal of Economics, MIT Press, vol. 100(2), pages 321-34, May.
  6. David, DE LA CROIX & Davide, DOTTORI, 2007. "Easter Island’s Collapse : A Tale of a Population Race," Discussion Papers (ECON - Département des Sciences Economiques) 2007005, Université catholique de Louvain, Département des Sciences Economiques.
  7. Fabbri, Giorgio & Gozzi, Fausto, 2008. "Solving optimal growth models with vintage capital: The dynamic programming approach," Journal of Economic Theory, Elsevier, vol. 143(1), pages 331-373, November.
  8. Arrow, Kenneth J. & Bensoussan, Alain & Feng, Qi & Sethi, Suresh P., 2008. "The Genuine Saving Criterion and the Value of Population in an Economy with Endogenous Population Changes," MPRA Paper 14622, University Library of Munich, Germany.
  9. Galor, Oded & Moav, Omer, 2001. "Natural Selection and the Origin of Economic Growth," CEPR Discussion Papers 2727, C.E.P.R. Discussion Papers.
  10. BOUCEKKINE, Raouf & FABBRI, Giorgio & GOZZI, Fausto, . "Maintenance and investment: complements or substitutes? A reappraisal," CORE Discussion Papers RP -2333, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  11. Boucekkine, Raouf & de la Croix, David & Licandro, Omar, 2000. "Vintage Human Capital, Demographic Trends and Endogenous Growth," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 2000007, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
  12. Paul MAKDISSI, 2001. "Population, ressources naturelles et droits de propriété," Annales d'Economie et de Statistique, ENSAE, issue 61, pages 91-103.
  13. Holger Strulik, 2005. "The Role of Human Capital and Population Growth in R&D-based Models of Economic Growth," Review of International Economics, Wiley Blackwell, vol. 13(1), pages 129-145, 02.
  14. Arnaud CHÉRON, 2001. "Risque de chômage, assurance complète et choix des ménages dans les modèles dynamiques," Annales d'Economie et de Statistique, ENSAE, issue 61, pages 105-118.
  15. Palivos, Theodore & Yip, Chong K., 1993. "Optimal population size and endogenous growth," Economics Letters, Elsevier, vol. 41(1), pages 107-110.
  16. Bucci, Alberto, 2008. "Population growth in a model of economic growth with human capital accumulation and horizontal R&D," Journal of Macroeconomics, Elsevier, vol. 30(3), pages 1124-1147, September.
  17. Asheim, Geir B., 1991. "Unjust intergenerational allocations," Journal of Economic Theory, Elsevier, vol. 54(2), pages 350-371, August.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:ctl:louvir:2011018. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Anne DAVISTER-LOGIST)

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 references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link 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 profile, as there may be some citations waiting for confirmation.

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

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.