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Mathematical Tools for Economic Dynamics: Dynamic Optimization

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  • 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

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    File URL: http://www.crisei.uniparthenope.it/wp/materiale/crisei_dp_19_gozzi.pdf
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    References listed on IDEAS

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    1. Barro, Robert J. & Sala-i-Martin, Xavier, 1994. "Quality Improvements in Models of Growth," CEPR Discussion Papers 1076, Centre for Economic Policy Research.
    2. 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.
    3. Aghion, Philippe & Howitt, Peter, 1996. "Research and Development in the Growth Process," Journal of Economic Growth, Springer, vol. 1(1), pages 49-73, March.
    4. 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.
    5. Michel, Philippe, 1990. "Some Clarifications on the Transversality Condition," Econometrica, Econometric Society, vol. 58(3), pages 705-723, May.
    6. Kurz,Heinz D. & Salvadori,Neri, 1997. "Theory of Production," Cambridge Books, Cambridge University Press, number 9780521588676, Enero-Abr.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
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