IDEAS home Printed from https://ideas.repec.org/a/eee/ecolet/v109y2010i1p17-19.html
   My bibliography  Save this article

Transitional dynamics in the Ramsey model with AK technology and logistic population change

Author

Listed:
  • Guerrini, Luca

Abstract

This paper shows that convergence can occur even for AK models if the population growth model is logistic. Moreover, the model is solved analytically, with the capital path expressed in closed-form in terms of Gauss hypergeometric functions.

Suggested Citation

  • Guerrini, Luca, 2010. "Transitional dynamics in the Ramsey model with AK technology and logistic population change," Economics Letters, Elsevier, vol. 109(1), pages 17-19, October.
    • Handle: RePEc:eee:ecolet:v:109:y:2010:i:1:p:17-19
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165-1765(10)00245-4
    Download Restriction: Full text for ScienceDirect subscribers only

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

    References listed on IDEAS

    as
    1. Bucci Alberto & Guerrini Luca, 2009. "Transitional Dynamics in the Solow-Swan Growth Model with AK Technology and Logistic Population Change," The B.E. Journal of Macroeconomics, De Gruyter, vol. 9(1), pages 1-17, December.
    2. Boucekkine, Raouf & Licandro, Omar & Puch, Luis A. & del Rio, Fernando, 2005. "Vintage capital and the dynamics of the AK model," Journal of Economic Theory, Elsevier, vol. 120(1), pages 39-72, January.
    3. Guerrini, Luca, 2006. "The Solow-Swan model with a bounded population growth rate," Journal of Mathematical Economics, Elsevier, vol. 42(1), pages 14-21, February.
    4. Gómez, Manuel A., 2008. "Convergence speed in the Ak endogenous growth model with habit formation," Economics Letters, Elsevier, vol. 100(1), pages 16-21, July.
    5. Daron Acemoglu & Jaume Ventura, 2002. "The World Income Distribution," The Quarterly Journal of Economics, Oxford University Press, vol. 117(2), pages 659-694.
    6. Kocherlakota, Narayana R & Yi, Kei-Mu, 1996. "A Simple Time Series Test of Endogenous vs. Exogenous Growth Models: An Application to the United States," The Review of Economics and Statistics, MIT Press, vol. 78(1), pages 126-134, February.
    7. Guerrini, Luca, 2010. "The Ramsey model with AK technology and a bounded population growth rate," Journal of Macroeconomics, Elsevier, vol. 32(4), pages 1178-1183, December.
    8. Carroll, Christopher D & Overland, Jody & Weil, David N, 1997. "Comparison Utility in a Growth Model," Journal of Economic Growth, Springer, vol. 2(4), pages 339-367, December.
    9. Tamura, Robert, 2006. "Human capital and economic development," Journal of Development Economics, Elsevier, vol. 79(1), pages 26-72, February.
    10. Tamura, Robert, 1996. "From decay to growth: A demographic transition to economic growth," Journal of Economic Dynamics and Control, Elsevier, vol. 20(6-7), pages 1237-1261.
    11. repec:ebl:ecbull:v:3:y:2007:i:15:p:1-8 is not listed on IDEAS
    12. Tamura, Robert, 1991. "Income Convergence in an Endogenous Growth Model," Journal of Political Economy, University of Chicago Press, vol. 99(3), pages 522-540, June.
    13. Kocherlakota, Narayana R. & Yi, Kei-Mu, 1995. "Can convergence regressions distinguish between exogenous and endogenous growth models?," Economics Letters, Elsevier, vol. 49(2), pages 211-215, August.
    14. Guerrini, Luca, 2010. "A closed-form solution to the Ramsey model with logistic population growth," Economic Modelling, Elsevier, vol. 27(5), pages 1178-1182, September.
    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. Antony, Jürgen & Klarl, Torben, 2019. "Resource depletion in a Ramsey economy with subsistence consumption, exogenous technical change and capital depreciation: A full characterization," VfS Annual Conference 2019 (Leipzig): 30 Years after the Fall of the Berlin Wall - Democracy and Market Economy 203640, Verein für Socialpolitik / German Economic Association.
    2. Getachew, Yoseph Yilma, 2012. "Do Ak models really lack transitional dynamics?," MERIT Working Papers 2012-011, United Nations University - Maastricht Economic and Social Research Institute on Innovation and Technology (MERIT).
    3. Gómez, Manuel A., 2014. "Equilibrium dynamics in a class of one-sector endogenous growth models with external habits: An application of special functions," Journal of Mathematical Economics, Elsevier, vol. 51(C), pages 50-54.
    4. Getachew, Yoseph Yilma, 2016. "Credit constraints, growth and inequality dynamics," Economic Modelling, Elsevier, vol. 54(C), pages 364-376.
    5. Tramontana, Fabio & Sushko, Iryna & Avrutin, Viktor, 2015. "Period adding structure in a 2D discontinuous model of economic growth," Applied Mathematics and Computation, Elsevier, vol. 253(C), pages 262-273.
    6. Fabio Tramontana & Viktor Avrutin, 2014. "Complex endogenous dynamics in a one-sector growth model with differential savings," DEM Working Papers Series 078, University of Pavia, Department of Economics and Management.
    7. Kajanovičová, Viktória & Novotný, Branislav & Pospíšil, Michal, 2020. "Ramsey model with non-constant population growth," Mathematical Social Sciences, Elsevier, vol. 104(C), pages 40-46.

    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. Guerrini, Luca, 2010. "The Ramsey model with AK technology and a bounded population growth rate," Journal of Macroeconomics, Elsevier, vol. 32(4), pages 1178-1183, December.
    2. Bucci Alberto & Guerrini Luca, 2009. "Transitional Dynamics in the Solow-Swan Growth Model with AK Technology and Logistic Population Change," The B.E. Journal of Macroeconomics, De Gruyter, vol. 9(1), pages 1-17, December.
    3. Alberto BUCCI & Luca GUERRINI, 2008. "Transitional dynamics in the Solow-Swan growth model with AK technology and logistic population change," Departmental Working Papers 2008-44, Department of Economics, Management and Quantitative Methods at Università degli Studi di Milano.
    4. Getachew, Yoseph Yilma, 2012. "Do Ak models really lack transitional dynamics?," MERIT Working Papers 2012-011, United Nations University - Maastricht Economic and Social Research Institute on Innovation and Technology (MERIT).
    5. Bishnu, Monisankar, 2013. "Linking consumption externalities with optimal accumulation of human and physical capital and intergenerational transfers," Journal of Economic Theory, Elsevier, vol. 148(2), pages 720-742.
    6. Tramontana, Fabio & Sushko, Iryna & Avrutin, Viktor, 2015. "Period adding structure in a 2D discontinuous model of economic growth," Applied Mathematics and Computation, Elsevier, vol. 253(C), pages 262-273.
    7. Getachew, Yoseph Yilma, 2016. "Credit constraints, growth and inequality dynamics," Economic Modelling, Elsevier, vol. 54(C), pages 364-376.
    8. Tamura, Robert & Simon, Curtis, 2017. "Secular Fertility Declines, Baby Booms, And Economic Growth: International Evidence," Macroeconomic Dynamics, Cambridge University Press, vol. 21(7), pages 1601-1672, October.
    9. Li, Bei & Zhang, Jie, 2015. "Efficient education subsidization and the pay-as-you-use principle," Journal of Public Economics, Elsevier, vol. 129(C), pages 41-50.
    10. Tamura, Robert & Dwyer, Jerry & Devereux, John & Baier, Scott, 2019. "Economic growth in the long run," Journal of Development Economics, Elsevier, vol. 137(C), pages 1-35.
    11. McDonald, Stuart & Zhang, Jie, 2012. "Income Inequality And Economic Growth With Altruistic Bequests And Human Capital Investment," Macroeconomic Dynamics, Cambridge University Press, vol. 16(S3), pages 331-354, November.
    12. Klenow, Peter J. & Rodriguez-Clare, Andres, 1997. "Economic growth: A review essay," Journal of Monetary Economics, Elsevier, vol. 40(3), pages 597-617, December.
    13. Fabio Tramontana & Viktor Avrutin, 2014. "Complex endogenous dynamics in a one-sector growth model with differential savings," DEM Working Papers Series 078, University of Pavia, Department of Economics and Management.
    14. Tamura, Robert & Simon, Curtis & Murphy, Kevin M., 2012. "Black and White Fertility, Differential Baby Booms: The Value of Civil Rights," MPRA Paper 40921, University Library of Munich, Germany.
    15. 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.
    16. Kevin M. Murphy & Curtis J. Simon & Robert Tamura, 2011. "Black and White Fertility, Differential Baby Booms: The Value of Civil Rights (Equal Opportunity for Education)," 2011 Meeting Papers 238, Society for Economic Dynamics.
    17. Jevgenijs Steinbuks & Thomas Hertel, 2016. "Confronting the Food–Energy–Environment Trilemma: Global Land Use in the Long Run," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 63(3), pages 545-570, March.
    18. Taub, Bart & Zhao, Rui, 2008. "Why doesn't Luxembourg send all its capital to India?," Journal of Macroeconomics, Elsevier, vol. 30(4), pages 1335-1346, December.
    19. Michael Sadler & Robert Tamura, 2000. "Specialized Human Capital Investment, Growth and Convergence," Econometric Society World Congress 2000 Contributed Papers 1929, Econometric Society.
    20. Cai, Yongyang & Steinbuks, Jevgenijs & Elliott, Joshua & Hertel, Thomas W., 2014. "The effect of climate and technological uncertainty in crop yields on the optimal path of global land use," Policy Research Working Paper Series 7009, The World Bank.

    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:eee:ecolet:v:109:y:2010:i:1:p:17-19. 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: (Haili He). General contact details of provider: http://www.elsevier.com/locate/ecolet .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.