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On the smoothness of optimal paths

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  • Joël Blot
  • Bertrand Crettez

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  • Joël Blot & Bertrand Crettez, 2004. "On the smoothness of optimal paths," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 27(1), pages 1-34, August.
  • Handle: RePEc:spr:decfin:v:27:y:2004:i:1:p:1-34
    DOI: 10.1007/s10203-004-0042-5
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    1. Araujo, A, 1991. "The Once but Not Twice Differentiability of the Policy Function," Econometrica, Econometric Society, vol. 59(5), pages 1383-1393, September.
    2. Chichilnisky, Graciela & Kalman, P. J., 1979. "Application of functional analysis to models of efficient allocation of economic resources," MPRA Paper 8004, University Library of Munich, Germany.
    3. Santos, Manuel S., 1992. "Differentiability and comparative analysis in discrete-time infinite-horizon optimization," Journal of Economic Theory, Elsevier, vol. 57(1), pages 222-229.
    4. Santos, Manuel S, 1991. "Smoothness of the Policy Function in Discrete Time Economic Models," Econometrica, Econometric Society, vol. 59(5), pages 1365-1382, September.
    5. Kehoe, Timothy J. & Levine, David K. & Romer, Paul M., 1990. "Determinacy of equilibria in dynamic models with finitely many consumers," Journal of Economic Theory, Elsevier, vol. 50(1), pages 1-21, February.
    6. Dasgupta, S. & McKenzie, Lionel W., 1985. "A note on comparative statics and dynamics of stationary states," Economics Letters, Elsevier, vol. 18(4), pages 333-338.
    7. DasGupta, S., 1985. "A local analysis of stability and regularity of stationary states in discrete symmetric optimal capital accumulation models," Journal of Economic Theory, Elsevier, vol. 36(2), pages 302-318, August.
    8. Green, Jerry R. & Scheinkman, Josè Alexandre (ed.), 1979. "General Equilibrium, Growth, and Trade," Elsevier Monographs, Elsevier, edition 1, number 9780122987502.
    9. Santos, Manuel S., 1994. "Smooth dynamics and computation in models of economic growth," Journal of Economic Dynamics and Control, Elsevier, vol. 18(3-4), pages 879-895.
    10. McKenzie, Lionel W., 2005. "Optimal economic growth, turnpike theorems and comparative dynamics," Handbook of Mathematical Economics, in: K. J. Arrow & M.D. Intriligator (ed.), Handbook of Mathematical Economics, edition 2, volume 3, chapter 26, pages 1281-1355, Elsevier.
    11. Boldrin, Michele & Montrucchio, Luigi, 1986. "On the indeterminacy of capital accumulation paths," Journal of Economic Theory, Elsevier, vol. 40(1), pages 26-39, October.
    12. Boldrin, Michele & Woodford, Michael, 1990. "Equilibrium models displaying endogenous fluctuations and chaos : A survey," Journal of Monetary Economics, Elsevier, vol. 25(2), pages 189-222, March.
    13. Chichilnisky, Graciela & Kalman, Peter J, 1978. "Comparative Statics of Less Neoclassical Agents," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 19(1), pages 141-148, February.
    14. Santos, M.S., 1989. "Differentiability And Comparative Analysis In Discrete-Time Infinite-Horizon Optimization Problems," UFAE and IAE Working Papers 127-89, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    15. Santos, Manuel S., 1999. "Numerical solution of dynamic economic models," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 5, pages 311-386, Elsevier.
    16. Becker, Robert A., 1983. "Comparative dynamics in the one-sector optimal growth model," Journal of Economic Dynamics and Control, Elsevier, vol. 6(1), pages 99-107, September.
    17. Lionel W. McKenzie, 2005. "Classical General Equilibrium Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262633302, April.
    18. Robert A. Becker, 1985. "Comparative Dynamics in Aggregate Models of Optimal Capital Accumulation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 100(4), pages 1235-1256.
    19. Montrucchio, Luigi, 1998. "Thompson metric, contraction property and differentiability of policy functions," Journal of Economic Behavior & Organization, Elsevier, vol. 33(3-4), pages 449-466, January.
    20. Santos, Manuel S, 1993. "On High-Order Differentiability of the Policy Function," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(3), pages 565-570, July.
    21. Dockner, E.J. & Takahashi, H., 1988. "Turnpike Properties And Comparative Dynamics Of General Capital Accumulation Games," Papers 88-02, Saskatchewan - Department of Economics.
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    1. Joël Blot & Bertrand Crettez, 2007. "On the smoothness of optimal paths II: some local turnpike results," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 30(2), pages 137-150, November.

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