IDEAS home Printed from https://ideas.repec.org/p/dem/wpaper/wp-2002-045.html
   My bibliography  Save this paper

Age-structured optimal control in population economics

Author

Listed:
  • Gustav Feichtinger
  • Alexia Prskawetz

    (Max Planck Institute for Demographic Research, Rostock, Germany)

  • Vladimir M. Veliov

Abstract

This paper brings both intertemporal and age-dependent features to a theory of population policy at the macro-level. A Lotkatype renewal model of population dynamics is combined with a Solow/Ramsey economy. By using a new maximum principle for distributed parameter control we derive meaningful qualitative results for the optimal migration path and the optimal saving rate.

Suggested Citation

  • Gustav Feichtinger & Alexia Prskawetz & Vladimir M. Veliov, 2002. "Age-structured optimal control in population economics," MPIDR Working Papers WP-2002-045, Max Planck Institute for Demographic Research, Rostock, Germany.
    • Handle: RePEc:dem:wpaper:wp-2002-045
    DOI: 10.4054/MPIDR-WP-2002-045
    as

    Download full text from publisher

    File URL: https://www.demogr.mpg.de/papers/working/wp-2002-045.pdf
    Download Restriction: no
    File URL: https://libkey.io/10.4054/MPIDR-WP-2002-045?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. W. Brian Arthur & Geoffrey McNicoll, 1977. "Optimal Time Paths with Age-Dependence: A Theory of Population Policy," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 44(1), pages 111-123.
    2. David M. Cutler & James M. Poterba & Louise M. Sheiner & Lawrence H. Summers, 1990. "An Aging Society: Opportunity or Challenge?," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 21(1), pages 1-74.
    3. Gustav Feichtinger & Vladimir Veliov & Tsvetomir Tsachev, 2004. "Maximum Principle For Age And Duration Structured Systems: A Tool For Optimal Prevention And Treatment Of Hiv," Mathematical Population Studies, Taylor & Francis Journals, vol. 11(1), pages 3-28.
    4. repec:bla:ecorec:v:77:y:2001:i:237:p:117-34 is not listed on IDEAS
    5. repec:fth:harver:1490 is not listed on IDEAS
    6. Lindh, Thomas, 2000. "Productivity slowdown due to scarcity of capital to scrap in a putty-clay model," Economics Letters, Elsevier, vol. 69(2), pages 225-233, November.
    7. Matthew Higgins & Jeffrey G. Williamson, 1996. "Asian Demography and Foreign Capital Dependence," NBER Working Papers 5560, National Bureau of Economic Research, Inc.
    8. Börsch-Supan, Axel, 2002. "International Comparison of Household Savings Behaviour: The German Savings Puzzle," MEA discussion paper series 02006, Munich Center for the Economics of Aging (MEA) at the Max Planck Institute for Social Law and Social Policy.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Ana Rute Cardoso & Paulo Guimarães & Klaus F. Zimmermann, 2010. "Comparing the early research performance of PhD graduates in labor economics in Europe and the USA," Scientometrics, Springer;Akadémiai Kiadó, vol. 84(3), pages 621-637, September.
    2. Xabadia, Angels & Goetz, Renan U., 2010. "The optimal selective logging regime and the Faustmann formula," Journal of Forest Economics, Elsevier, vol. 16(1), pages 63-82, January.
    3. Fabbri, Giorgio & Gozzi, Fausto & Swiech, Andrzej, 2007. "Verification theorem and construction of epsilon-optimal controls for control of abstract evolution equations," MPRA Paper 3547, University Library of Munich, Germany.

    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. Higgins, Matthew, 1998. "Demography, National Savings, and International Capital Flows," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(2), pages 343-369, May.
    2. David N. Weil, 1999. "Population Growth, Dependency, and Consumption," American Economic Review, American Economic Association, vol. 89(2), pages 251-255, May.
    3. Lau, Sau-Him Paul, 2014. "Fertility and mortality changes in an overlapping-generations model with realistic demography," Economic Modelling, Elsevier, vol. 38(C), pages 512-521.
    4. van Dalen, Hendrik P., 1996. "Pitfalls in the economic analysis of aging," Journal of Policy Modeling, Elsevier, vol. 18(2), pages 157-184, April.
    5. repec:spo:wpmain:info:hdl:2441/2091 is not listed on IDEAS
    6. Bagus Arya Wirapati & Niken Astria Sakina Kusumawardhani, 2010. "Is ACFTA A Proper Strategy Of Sustainable Poverty Alleviation?: Proof From The Depletion Of Saving Rate," Bulletin of Monetary Economics and Banking, Bank Indonesia, vol. 13(1), pages 75-102, July.
    7. Axel Börsch‐Supan & Alexander Ludwig & Joachim Winter, 2006. "Ageing, Pension Reform and Capital Flows: A Multi‐Country Simulation Model," Economica, London School of Economics and Political Science, vol. 73(292), pages 625-658, November.
    8. de la Croix, David & Docquier, Frederic & Liegeois, Philippe, 2007. "Income growth in the 21st century: Forecasts with an overlapping generations model," International Journal of Forecasting, Elsevier, vol. 23(4), pages 621-635.
    9. Ross Guest & Ian Mcdonald, 2003. "Vintage versus homogeneous capital in simulations of population ageing: does it matter?," Applied Economics Letters, Taylor & Francis Journals, vol. 10(3), pages 149-153.
    10. Lex Meijdam & Harrie Verbon, 1996. "Aging and political decision making on public pensions," Journal of Population Economics, Springer;European Society for Population Economics, vol. 9(2), pages 141-158, June.
    11. Stelter, Robert, 2014. "Over-aging: Are present human populations too old?," Thuenen-Series of Applied Economic Theory 137, University of Rostock, Institute of Economics.
    12. Dramane Coulibaly & Blaise Gnimassoun & Valérie Mignon, 2018. "The tale of two international phenomena: International migration and global imbalances," Working Papers 2018-02, CEPII research center.
    13. Frank T. Denton & Byron G. Spencer, 1998. "Economic Costs of Population Aging," Quantitative Studies in Economics and Population Research Reports 339, McMaster University.
    14. David De La Croix & Géraldine Mahieu & Alexandra Rillaers, 2004. "How Should the Allocation of Resources Adjust to the Baby Bust?," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 6(4), pages 607-636, October.
    15. Alwyn Young, 2007. "In sorrow to bring forth children: fertility amidst the plague of HIV," Journal of Economic Growth, Springer, vol. 12(4), pages 283-327, December.
    16. Izmirlioglu, Yusuf, 2008. "The Impact of Population Ageing on Technological Progress and TFP Growth, with Application to United States: 1950-2050," MPRA Paper 24687, University Library of Munich, Germany.
    17. Adema, Y. & Meijdam, A.C. & Verbon, H.A.A., 2006. "Beggar Thy Thrifty Neighbour : The International Spillover Effects of Pensions Under Population Ageing," Other publications TiSEM efe74edb-cddd-4a64-8889-9, Tilburg University, School of Economics and Management.
    18. A Börsch-Supan & A Brugiavini, 2001. "Savings: the policy debate in Europe," Oxford Review of Economic Policy, Oxford University Press and Oxford Review of Economic Policy Limited, vol. 17(1), pages 116-143, Spring.
    19. repec:hal:spmain:info:hdl:2441/2091 is not listed on IDEAS
    20. Richard K. Crump & Stefano Eusepi & Marc Giannoni & Aysegul Sahin, 2019. "A Unified Approach to Measuring u," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 50(1 (Spring), pages 143-238.
    21. Hayat Khan, 2007. "Private Intergenerational Transfers and Their Ability to Alleviate the Fiscal Burden of Ageing," DEGIT Conference Papers c012_036, DEGIT, Dynamics, Economic Growth, and International Trade.
    22. Jacques Le Cacheux & Vincent Touzé, 2002. "Les modèles d'équilibre général calculable à générations imbriquées. Enjeux, méthodes et résultats," Revue de l'OFCE, Presses de Sciences-Po, vol. 80(1), pages 87-113.

    More about this item

    JEL classification:

    • J1 - Labor and Demographic Economics - - Demographic Economics
    • Z0 - Other Special Topics - - General

    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:dem:wpaper:wp-2002-045. 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: Peter Wilhelm (email available below). General contact details of provider: https://www.demogr.mpg.de/ .

    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.