IDEAS home Printed from https://ideas.repec.org/p/crj/dpaper/19_2012.html
   My bibliography  Save this paper

Mathematical Tools for Economic Dynamics: Dynamic Optimization

Author

Listed:
  • Fausto Gozzi

Abstract

We summarize some basic result in dynamic optimization and optimal control theory, focusing on some economic applications.

Suggested Citation

  • Fausto Gozzi, 2012. "Mathematical Tools for Economic Dynamics: Dynamic Optimization," Discussion Papers 19_2012, CRISEI, University of Naples "Parthenope", Italy.
    • Handle: RePEc:crj:dpaper:19_2012
    as

    Download full text from publisher

    File URL: http://www.crisei.uniparthenope.it/wp/materiale/crisei_dp_19_gozzi.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Benveniste, L. M. & Scheinkman, J. A., 1982. "Duality theory for dynamic optimization models of economics: The continuous time case," Journal of Economic Theory, Elsevier, vol. 27(1), pages 1-19, June.
    2. Michel, Philippe, 1990. "Some Clarifications on the Transversality Condition," Econometrica, Econometric Society, vol. 58(3), pages 705-723, May.
    3. Rebelo, Sergio, 1991. "Long-Run Policy Analysis and Long-Run Growth," Journal of Political Economy, University of Chicago Press, vol. 99(3), pages 500-521, June.
    4. Kurz,Heinz D. & Salvadori,Neri, 1997. "Theory of Production," Cambridge Books, Cambridge University Press, number 9780521588676.
    5. Robert J. Barro & Xavier Sala-i-Martin, 1994. "Quality Improvements in Models of Growth," NBER Working Papers 4610, National Bureau of Economic Research, Inc.
    6. Neri Salvadori, 1998. "A Linear Multisector Model of “Endogenous” Growth and the Problem of Capital," Metroeconomica, Wiley Blackwell, vol. 49(3), pages 319-335, October.
    7. K. J. Arrow, 1971. "The Economic Implications of Learning by Doing," Palgrave Macmillan Books, in: F. H. Hahn (ed.), Readings in the Theory of Growth, chapter 11, pages 131-149, Palgrave Macmillan.
    8. Carlier, Guillaume, 2001. "A general existence result for the principal-agent problem with adverse selection," Journal of Mathematical Economics, Elsevier, vol. 35(1), pages 129-150, February.
    9. J. v. Neumann, 1945. "A Model of General Economic Equilibrium," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 13(1), pages 1-9.
    10. Aghion, Philippe & Howitt, Peter, 1996. "Research and Development in the Growth Process," Journal of Economic Growth, Springer, vol. 1(1), pages 49-73, March.
    Full references (including those not matched with items on IDEAS)

    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. D'Alessandro, Simone & Salvadori, Neri, 2008. "Pasinetti versus Rebelo: Two different models or just one?," Journal of Economic Behavior & Organization, Elsevier, vol. 65(3-4), pages 547-554, March.
    2. Jensen, Martin Kaae, 2012. "Global stability and the “turnpike” in optimal unbounded growth models," Journal of Economic Theory, Elsevier, vol. 147(2), pages 802-832.
    3. Jamee K. Moudud, 2010. "Strategic Competition, Dynamics, and the Role of the State," Books, Edward Elgar Publishing, number 4241.
    4. Bertola, Giuseppe, 2000. "Macroeconomics of distribution and growth," Handbook of Income Distribution, in: A.B. Atkinson & F. Bourguignon (ed.), Handbook of Income Distribution, edition 1, volume 1, chapter 9, pages 477-540, Elsevier.
    5. 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.
    6. 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).
    7. Rao, B. Bhaskara, 2010. "Estimates of the steady state growth rates for selected Asian countries with an extended Solow model," Economic Modelling, Elsevier, vol. 27(1), pages 46-53, January.
    8. van de Klundert, T.C.M.J. & Smulders, J.A., 1993. "Reconstructing growth theory : A survey," Other publications TiSEM ed4275fb-b14f-4175-a63f-6, Tilburg University, School of Economics and Management.
    9. Carine Nourry, 2012. "Dasgupta, D.: Modern growth theory," Journal of Economics, Springer, vol. 105(1), pages 97-100, January.
    10. V. V. Chari & Patrick J. Kehoe & Ellen R. McGrattan, 1996. "The Poverty of Nations: A Quantitative Exploration," NBER Working Papers 5414, National Bureau of Economic Research, Inc.
    11. Wilson, E.J. & Chaudhri, D.P., 2000. "Endogeneity, Knowledge and Dynamics of Long Run Capitalist Economic Growth," Economics Working Papers wp00-03, School of Economics, University of Wollongong, NSW, Australia.
    12. Barro, Robert J, 1990. "Government Spending in a Simple Model of Endogenous Growth," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages 103-126, 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. LeBel, Phillip, 2008. "The role of creative innovation in economic growth: Some international comparisons," Journal of Asian Economics, Elsevier, vol. 19(4), pages 334-347, August.
    15. Carlos Humberto Ortiz & Javier Andrés Castro, 2008. "Technological Integration and Income Gaps," Revista Lecturas de Economía, Universidad de Antioquia, CIE, June.
    16. Ravi Kashyap, 2016. "Solving the Equity Risk Premium Puzzle and Inching Towards a Theory of Everything," Papers 1604.04872, arXiv.org, revised Sep 2019.
    17. 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.
    18. Shahbaz, Muhammad & Nasreen, Samia & Abbas, Faisal & Anis, Omri, 2015. "Does foreign direct investment impede environmental quality in high-, middle-, and low-income countries?," Energy Economics, Elsevier, vol. 51(C), pages 275-287.
    19. Xavier Sala-i-Martin, 1990. "Lecture Notes on Economic Growth(I): Introduction to the Literature and Neoclassical Models," NBER Working Papers 3563, National Bureau of Economic Research, Inc.
    20. Schilirò, Daniele, 2006. "Crescita economica, conoscenza e capitale umano. Le teorie e i modelli di crescita endogena di Paul Romer e Robert Lucas [Economic growth, knowledge and human capital. Theories and models of endoge," MPRA Paper 52435, University Library of Munich, Germany.

    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:crj:dpaper:19_2012. 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: Margherita Gallo (email available below). General contact details of provider: https://edirc.repec.org/data/crnavit.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.