IDEAS home Printed from https://ideas.repec.org/p/del/abcdef/97-27.html
   My bibliography  Save this paper

A Model of Optimal Growth Strategy

Author

Listed:
  • Askenazy, P.
  • Le Van, C.

Abstract

In this paper we present an optimal growth model with convex-concave technology, for an open developing country. The latter may choose to produce consumption goods by borrowing on capital markets. We prove there exists two non trivial steady states. An optimal path converges either to 0 or to the high stedy-state. That depends on the levels of the initial debt and/or of the debt constraint. We prove also there exists a poverty trap if the time preference is very high.

Suggested Citation

  • Askenazy, P. & Le Van, C., 1997. "A Model of Optimal Growth Strategy," DELTA Working Papers 97-27, DELTA (Ecole normale supérieure).
    • Handle: RePEc:del:abcdef:97-27
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    References listed on IDEAS

    as
    1. W. Davis Dechert & Kazuo Nishimura, 2012. "A Complete Characterization of Optimal Growth Paths in an Aggregated Model with a Non-Concave Production Function," Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 237-257, Springer.
    2. Barro, Robert J & Mankiw, N Gregory & Sala-i-Martin, Xavier, 1995. "Capital Mobility in Neoclassical Models of Growth," American Economic Review, American Economic Association, vol. 85(1), pages 103-115, March.
    3. van de Klundert, Theo & Smulders, Sjak, 1996. "North-South knowledge spillovers and competition: convergence versus divergence," Journal of Development Economics, Elsevier, vol. 50(2), pages 213-232, August.
    4. Daniel Cohen & Jeffrey Sachs, 1991. "Growth and External Debt Under Risk of Debt Repudiation," NBER Chapters, in: International Volatility and Economic Growth: The First Ten Years of The International Seminar on Macroeconomics, pages 437-472, National Bureau of Economic Research, Inc.
    5. Skiba, A K, 1978. "Optimal Growth with a Convex-Concave Production Function," Econometrica, Econometric Society, vol. 46(3), pages 527-539, May.
    6. Paul Krugman, 1991. "History versus Expectations," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(2), pages 651-667.
    7. Alwyn Young, 1991. "Learning by Doing and the Dynamic Effects of International Trade," NBER Working Papers 3577, National Bureau of Economic Research, Inc.
    8. Azariadis, Costas, 1996. "The Economics of Poverty Traps: Part One: Complete Markets," Journal of Economic Growth, Springer, vol. 1(4), pages 449-496, December.
    9. Costas Azariadis & Allan Drazen, 1990. "Threshold Externalities in Economic Development," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 105(2), pages 501-526.
    10. Alwyn Young, 1991. "Learning by Doing and the Dynamic Effects of International Trade," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(2), pages 369-405.
    11. Alwyn Young, 1995. "The Tyranny of Numbers: Confronting the Statistical Realities of the East Asian Growth Experience," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 110(3), pages 641-680.
    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. Ossama Mikhail, 2004. "Economic Freedom and The Business Cycle: The Egyptian Experience," Macroeconomics 0402002, University Library of Munich, Germany.
    2. Cuong Van & Raouf Boucekkine & Cagri Saglam, 2007. "Optimal Control in Infinite Horizon Problems: A Sobolev Space Approach," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 32(3), pages 497-509, September.
    3. 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.
    4. Hippolyte d’Albis & Pascal Gourdel & Cuong Le Van, 2008. "Existence of solutions in continuous-time optimal growth models," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 37(2), pages 321-333, November.
    5. Le Van, Cuong & Saglam, H. Cagri, 2004. "Quality Of Knowledge Technology, Returns To Production Technology, And Economic Development," Macroeconomic Dynamics, Cambridge University Press, vol. 8(2), pages 147-161, April.
    6. Le Van, Cuong & Schubert, Katheline & Nguyen, Tu Anh, 2010. "With exhaustible resources, can a developing country escape from the poverty trap?," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2435-2447, November.
    7. Dogan, Erol & Le Van, Cuong & Saglam, Cagri, 2011. "Optimal timing of regime switching in optimal growth models: A Sobolev space approach," Mathematical Social Sciences, Elsevier, vol. 61(2), pages 97-103, March.
    8. Terry Heaps, 2014. "Convergence of Optimal Harvesting Policies to a Normal Forest," Discussion Papers dp14-01, Department of Economics, Simon Fraser University.
    9. N. Hung & C. Le Van & P. Michel, 2009. "Non-convex aggregate technology and optimal economic growth," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 40(3), pages 457-471, September.
    10. Mikhail Ossama, 2005. "Economic Freedom and the Business Cycle: The Egyptian Experience," Review of Middle East Economics and Finance, De Gruyter, vol. 3(1), pages 1-19, April.
    11. 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.
    12. Amrita Dhillon & Myrna Wooders & Ben Zissimos, 2007. "Tax Competition Reconsidered," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 9(3), pages 391-423, June.
    13. Heaps, Terry, 2015. "Convergence of optimal harvesting policies to a normal forest," Journal of Economic Dynamics and Control, Elsevier, vol. 54(C), pages 74-85.
    14. Minyi Huang, 2013. "A Mean Field Capital Accumulation Game with HARA Utility," Dynamic Games and Applications, Springer, vol. 3(4), pages 446-472, December.
    15. Erol, Selman & Le Van, Cuong & Saglam, Cagri, 2011. "Existence, optimality and dynamics of equilibria with endogenous time preference," Journal of Mathematical Economics, Elsevier, vol. 47(2), pages 170-179, March.
    16. Boucekkine, R. & Fabbri, G. & Gozzi, F., 2010. "Maintenance and investment: Complements or substitutes? A reappraisal," Journal of Economic Dynamics and Control, Elsevier, vol. 34(12), pages 2420-2439, December.
    17. Fabbri, Giorgio & Gozzi, Fausto, 2006. "Vintage Capital in the AK growth model: a Dynamic Programming approach. Extended version," MPRA Paper 7334, University Library of Munich, Germany.
    18. Le Van, Cuong & Schubert, Katheline & Nguyen, Tu Anh, 2010. "With exhaustible resources, can a developing country escape from the poverty trap?," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2435-2447, November.
    19. Jean-Michel Grandmont, 2013. "Tribute to Cuong Le Van," International Journal of Economic Theory, The International Society for Economic Theory, vol. 9(1), pages 5-10, March.
    20. Dockner, Engelbert J. & Nishimura, Kazuo, 2005. "Capital accumulation games with a non-concave production function," Journal of Economic Behavior & Organization, Elsevier, vol. 57(4), pages 408-420, August.
    21. Sanchez-Carrera Edgar J. & Ille Sebastian & Travaglini Giuseppe, 2021. "Macrodynamic Modeling of Innovation Equilibria and Traps," The B.E. Journal of Macroeconomics, De Gruyter, vol. 21(2), pages 659-694, June.
    22. Goenka, Aditya & Liu, Lin & Nguyen, Manh-Hung, 2014. "Infectious diseases and economic growth," Journal of Mathematical Economics, Elsevier, vol. 50(C), pages 34-53.
    23. Ken-Ichi Akao & Takashi Kamihigashi & Kazuo Nishimura, 2015. "Critical Capital Stock in a Continuous-Time Growth Model with a Convex-Concave Production Function," Discussion Paper Series DP2015-39, Research Institute for Economics & Business Administration, Kobe University.
    24. Ken-Ichi Akao & Takashi Kamihigashi & Kazuo Nishimura, 2019. "Optimal steady state of an economic dynamics model with a nonconcave production function," RIEEM Discussion Paper Series 1907, Research Institute for Environmental Economics and Management, Waseda University.

    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. Azariadis, Costas & Stachurski, John, 2005. "Poverty Traps," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 1, chapter 5, Elsevier.
    2. Philip L. Brock, 2009. "Collateral Constraints and Macroeconomic Adjustment in an Open Economy," Working Papers UWEC-2009-03, University of Washington, Department of Economics.
    3. Ben Fine, 1998. "Endogenous Growth Theory: A Critical Assessment," Working Papers 80, Department of Economics, SOAS University of London, UK.
    4. Apergis, Nicholas & Polemis, Michael, 2018. "Electricity supply shocks and economic growth across the US states: evidence from a time-varying Bayesian panel VAR model, aggregate and disaggregate energy sources," MPRA Paper 84954, University Library of Munich, Germany.
    5. Klenow, Peter J. & Rodriguez-Clare, Andres, 1997. "Economic growth: A review essay," Journal of Monetary Economics, Elsevier, vol. 40(3), pages 597-617, December.
    6. Erich Gundlach, 1997. "Human capital and economic development: A macroeconomic assessment," Intereconomics: Review of European Economic Policy, Springer;ZBW - Leibniz Information Centre for Economics;Centre for European Policy Studies (CEPS), vol. 32(1), pages 23-35, January.
    7. repec:eee:labchp:v:3:y:1999:i:pc:p:2943-2984 is not listed on IDEAS
    8. Silvia Dal Bianco, 2016. "Going clubbing in the eighties: convergence in manufacturing sectors at a glance," Empirical Economics, Springer, vol. 50(2), pages 623-659, March.
    9. Trofimov Georgy, 2003. "Regimes of Growth and Economic Integration. Why Poor Countries Cannot Join the "Club" of the Rich?," EERC Working Paper Series 03-03e, EERC Research Network, Russia and CIS.
    10. Guillaume Daudin, 2003. "Tous unis contre le protectionnisme des pays du Nord ?," Revue de l'OFCE, Presses de Sciences-Po, vol. 84(1), pages 95-130.
    11. Olivier Bruno & Cuong Van & Benoît Masquin, 2009. "When does a developing country use new technologies?," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 40(2), pages 275-300, August.
    12. Nakajima, Tomoyuki, 2003. "Catch-up in turn in a multi-country international trade model with learning-by-doing and invention," Journal of Development Economics, Elsevier, vol. 72(1), pages 117-138, October.
    13. Gancia, Gino & Zilibotti, Fabrizio, 2005. "Horizontal Innovation in the Theory of Growth and Development," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 1, chapter 3, pages 111-170, Elsevier.
    14. Wirl, Franz, 2009. "OPEC as a political and economical entity," European Journal of Political Economy, Elsevier, vol. 25(4), pages 399-408, December.
    15. Adriana Di Liberto, 2007. "Convergence and Divergence in Neoclassical Growth Models with Human Capital," Economia politica, Società editrice il Mulino, issue 2, pages 289-322.
    16. Boiscuvier, Éléonore, 2001. "Innovation, intégration et développement régional," L'Actualité Economique, Société Canadienne de Science Economique, vol. 77(2), pages 255-280, juin.
    17. Hiau Looi Kee, 2005. "Productivity or Endowments? Sectoral Evidence for Hong Kong's Aggregate Growth," Asian Economic Journal, East Asian Economic Association, vol. 19(1), pages 51-81, March.
    18. Ken-Ichi Akao & Takashi Kamihigashi & Kazuo Nishimura, 2015. "Critical Capital Stock in a Continuous-Time Growth Model with a Convex-Concave Production Function," Discussion Paper Series DP2015-39, Research Institute for Economics & Business Administration, Kobe University.
    19. Capolupo, Rosa, 2009. "The New Growth Theories and Their Empirics after Twenty Years," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 3, pages 1-72.
    20. Grüne, Lars & Semmler, Willi & Stieler, Marleen, 2015. "Using nonlinear model predictive control for dynamic decision problems in economics," Journal of Economic Dynamics and Control, Elsevier, vol. 60(C), pages 112-133.
    21. Rosa Capolupo, 2005. "THE NEW GROWTH THEORIES AND THEIR EMPIRICS, Discussion Paper in Economics, University of Glasgow, N. 2005-04 (http://www.gla.ac.uk/Acad/Economics," GE, Growth, Math methods 0506003, University Library of Munich, Germany.

    More about this item

    Keywords

    ECONOMIC DEVELOPMENT ; ECONOMETRICS;

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D92 - Microeconomics - - Micro-Based Behavioral Economics - - - Intertemporal Firm Choice, Investment, Capacity, and Financing
    • O12 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Microeconomic Analyses of Economic Development
    • C41 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Duration Analysis; Optimal Timing Strategies

    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:del:abcdef:97-27. 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: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/deltafr.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.