IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/14622.html
   My bibliography  Save this paper

The Genuine Saving Criterion and the Value of Population in an Economy with Endogenous Population Changes

Author

Listed:
  • Arrow, Kenneth J.
  • Bensoussan, Alain
  • Feng, Qi
  • Sethi, Suresh P.

Abstract

We study an economy in which the rate of change of population depends on population policy decisions. This requires population as well as capital as state variables. By showing the algebraic relationship between the shadow price of the population and the shadow price of the per capita capital stock, we are still able to depict the optimal path and its convergence to the long-run equilibrium on a two-dimensional phase diagram. Moreover, we derive explicitly the expression of genuine savings in our model to evaluate the sustainability of the system.

Suggested Citation

  • 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.
    • Handle: RePEc:pra:mprapa:14622
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/14622/1/MPRA_paper_14622.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Kenneth J. Arrow & Partha Dasgupta & Karl-Göran Mäler, 2003. "The genuine savings criterion and the value of population," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 21(2), pages 217-225, March.
    2. repec:reg:rpubli:132 is not listed on IDEAS
    3. Suresh P. Sethi, 2021. "Optimal Control Theory," Springer Texts in Business and Economics, Springer, edition 4, number 978-3-030-91745-6, June.
    4. Pezzey, J., 1992. "Sustainable Development Concepts; An Economic Analysis," Papers 2, World Bank - The World Bank Environment Paper.
    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. Raouf Boucekkine & Giorgio Fabbri & Fausto Gozzi, 2010. "Life span and the problem of optimal population size," Working Papers halshs-00536073, HAL.
    2. Raouf Boucekkine & Giorgio Fabbri, 2013. "Assessing Parfit’s Repugnant Conclusion within a canonical endogenous growth set-up," Journal of Population Economics, Springer;European Society for Population Economics, vol. 26(2), pages 751-767, April.
    3. Adrian Boos, 2015. "Genuine Savings as an Indicator for “Weak” Sustainability: Critical Survey and Possible Ways forward in Practical Measuring," Sustainability, MDPI, vol. 7(4), pages 1-37, April.

    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. Dimitra Vouvaki & Anastasios Xepapadeas, 2005. "Criteria for Assessing Sustainable Development: Theoretical Issues and Empirical Evidence for the Case of Greece," Working Papers 0511, University of Crete, Department of Economics.
    2. Lucas Bretschger & Simone Valente, 2011. "International trade and net investment: theory and evidence," International Economics and Economic Policy, Springer, vol. 8(2), pages 197-224, June.
    3. Koji Tokimatsu & Rintaro Yamaguchi & Masayuki Sato & Rieko Yasuoka & Masahiro Nishio & Kazuhiro Ueta, 2011. "Measuring future dynamics of genuine saving with changes of population and technology: application of an integrated assessment model," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 13(4), pages 703-725, August.
    4. Kenneth Arrow & Partha Dasgupta & Lawrence Goulder & Gretchen Daily & Paul Ehrlich & Geoffrey Heal & Simon Levin & Karl-Göran Mäler & Stephen Schneider & David Starrett & Brian Walker, 2004. "Are We Consuming Too Much?," Journal of Economic Perspectives, American Economic Association, vol. 18(3), pages 147-172, Summer.
    5. Rauscher, Michael, 1996. "Sustainable Development and Complex Ecosystems. An Economist's View," Thuenen-Series of Applied Economic Theory 02, University of Rostock, Institute of Economics.
    6. Bazhanov, Andrei, 2011. "Investment and current utility change in dynamically inefficient economies," MPRA Paper 35487, University Library of Munich, Germany.
    7. M. Chahim & D. Grass & R. F. Hartl & P. M. Kort, 2017. "Product innovation with lumpy investment," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 25(1), pages 159-182, March.
    8. Baumgärtner, Stefan & Quaas, Martin F., 2009. "Ecological-economic viability as a criterion of strong sustainability under uncertainty," Ecological Economics, Elsevier, vol. 68(7), pages 2008-2020, May.
    9. Valente, Simone, 2008. "Intergenerational transfers, lifetime welfare, and resource preservation," Environment and Development Economics, Cambridge University Press, vol. 13(1), pages 53-78, February.
    10. Pezzey, John C.V. & Burke, Paul J., 2014. "Towards a more inclusive and precautionary indicator of global sustainability," Ecological Economics, Elsevier, vol. 106(C), pages 141-154.
    11. Dietz, Simon & Neumayer, Eric, 2007. "Weak and strong sustainability in the SEEA: Concepts and measurement," Ecological Economics, Elsevier, vol. 61(4), pages 617-626, March.
    12. Chahim, M. & Hartl, R.F. & Kort, P.M., 2011. "The Deterministic Impulse Control Maximum Principle in Operations Research : Necessary and Sufficient Optimality Conditions (replaces CentER DP 2011-052)," Other publications TiSEM a7a21401-43e3-4ecc-977a-7, Tilburg University, School of Economics and Management.
    13. Hoff, Jens V. & Rasmussen, Martin M.B. & Sørensen, Peter Birch, 2021. "Barriers and opportunities in developing and implementing a Green GDP," Ecological Economics, Elsevier, vol. 181(C).
    14. Bolei Di & Andrew Lamperski, 2022. "Newton’s Method, Bellman Recursion and Differential Dynamic Programming for Unconstrained Nonlinear Dynamic Games," Dynamic Games and Applications, Springer, vol. 12(2), pages 394-442, June.
    15. Geir B. Asheim, 2003. "Green national accounting for welfare and sustainability:A Taxonomy Of Assumptions And Results," Scottish Journal of Political Economy, Scottish Economic Society, vol. 50(2), pages 113-130, May.
    16. Dasgupta, Partha, 2000. "Valuation and evaluation: measuring the quality of life and evaluating policy," LSE Research Online Documents on Economics 6657, London School of Economics and Political Science, LSE Library.
    17. Nick Hanley & Louis Dupuy & Eoin McLaughlin, 2015. "Genuine Savings And Sustainability," Journal of Economic Surveys, Wiley Blackwell, vol. 29(4), pages 779-806, September.
    18. Mark Gersovitz & Jeffrey S. Hammer, 2004. "The Economical Control of Infectious Diseases," Economic Journal, Royal Economic Society, vol. 114(492), pages 1-27, January.
    19. Shen, Meng & Li, Xiang & Lu, Yujie & Cui, Qingbin & Wei, Yi-Ming, 2021. "Personality-based normative feedback intervention for energy conservation," Energy Economics, Elsevier, vol. 104(C).

    More about this item

    Keywords

    Savings; population policy; value of the population; economic growth; optimal control; phase diagram; dynamic programming;
    All these keywords.

    JEL classification:

    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models
    • E2 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment
    • O16 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Financial Markets; Saving and Capital Investment; Corporate Finance and Governance

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:pra:mprapa:14622. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.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.