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Differential-difference equations in economics: on the numerical solution of vintage capital growth models

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Cited by:

  1. Feichtinger, Gustav & Hartl, Richard F. & Kort, Peter M. & Veliov, Vladimir M., 2008. "Financially constrained capital investments: The effects of disembodied and embodied technological progress," Journal of Mathematical Economics, Elsevier, vol. 44(5-6), pages 459-483, April.
  2. Yuri, YATSENKO & Raouf, BOUCEKKINE & Natali, HRITONENKO, 2008. "Estimating the Dynamics of R&D-based Growth Models," Discussion Papers (ECON - Département des Sciences Economiques) 2008034, Université catholique de Louvain, Département des Sciences Economiques.
  3. d’Albis, Hippolyte & Augeraud-Véron, Emmanuelle & Hupkes, Hermen Jan, 2014. "Multiple solutions in systems of functional differential equations," Journal of Mathematical Economics, Elsevier, vol. 52(C), pages 50-56.
  4. Vivek H. Dehejia & Douglas W. Dwyer, 1998. "Output and Unemployment Dynamics in Transition," William Davidson Institute Working Papers Series 178, William Davidson Institute at the University of Michigan.
  5. Feichtinger, Gustav & Hartl, Richard F. & Kort, Peter M. & Veliov, Vladimir M., 2006. "Capital accumulation under technological progress and learning: A vintage capital approach," European Journal of Operational Research, Elsevier, vol. 172(1), pages 293-310, July.
  6. David de la Croix & Omar Licandro, 2013. "The Child is Father Of the Man: Implications for the Demographic Transition," Economic Journal, Royal Economic Society, vol. 123(567), pages 236-261, March.
  7. Fabrice Collard & Omar Licandro & Luis A. Puch, 2008. "The short-run Dynamics of Optimal Growth Model with Delays," Annals of Economics and Statistics, GENES, issue 90, pages 127-143.
  8. Marc Germain, 2021. "Limites à la croissance et destruction créatrice dans le cadre d'un modèle à générations de capital," Working Papers 2021.14, FAERE - French Association of Environmental and Resource Economists.
  9. Hwan C. Lin & L. F. Shampine, 2018. "R&D-based Calibrated Growth Models with Finite-Length Patents: A Novel Relaxation Algorithm for Solving an Autonomous FDE System of Mixed Type," Computational Economics, Springer;Society for Computational Economics, vol. 51(1), pages 123-158, January.
  10. Boucekkine, Raouf & Germain, Marc & Licandro, Omar & Magnus, Alphonse, 2001. "Numerical solution by iterative methods of a class of vintage capital models," Journal of Economic Dynamics and Control, Elsevier, vol. 25(5), pages 655-669, May.
  11. de la Croix, David & Lindh, Thomas & Malmberg, Bo, 2006. "Growth and Longevity from the Industrial Revolution to the Future of an Aging Society," Arbetsrapport 2006:9, Institute for Futures Studies.
  12. Boucekkine, Raouf & Germain, Marc & Licandro, Omar, 1997. "Replacement Echoes in the Vintage Capital Growth Model," Journal of Economic Theory, Elsevier, vol. 74(2), pages 333-348, June.
  13. Ulrich Brandt-Pollmann & Ralph Winkler & Sebastian Sager & Ulf Moslener & Johannes Schlöder, 2008. "Numerical Solution of Optimal Control Problems with Constant Control Delays," Computational Economics, Springer;Society for Computational Economics, vol. 31(2), pages 181-206, March.
  14. Raouf Boucekkine & David Croix & Omar Licandro, 2004. "MODELLING VINTAGE STRUCTURES WITH DDEs: PRINCIPLES AND APPLICATIONS," Mathematical Population Studies, Taylor & Francis Journals, vol. 11(3-4), pages 151-179.
  15. Joanne S. McGarry & Marcus J. Chambers, 2004. "Party formation and coalitional bargaining in a model of proportional representation," Discussion Papers 04-07, Department of Economics, University of Birmingham.
  16. Feichtinger, Gustav & Hartl, Richard F. & Kort, Peter M. & Veliov, Vladimir M., 2005. "Environmental policy, the porter hypothesis and the composition of capital: Effects of learning and technological progress," Journal of Environmental Economics and Management, Elsevier, vol. 50(2), pages 434-446, September.
  17. Arnott, Richard, 2013. "A bathtub model of downtown traffic congestion," Journal of Urban Economics, Elsevier, vol. 76(C), pages 110-121.
  18. Marc Germain, 2022. "Limits to growth and creative destruction in the framework of a vintage capital model [Limites à la croissance et destruction créatrice dans le cadre d'un modèle à générations de capital]," Working Papers hal-03849759, HAL.
  19. David de la Croix & Thomas Lindh & Bo Malmberg, 2008. "Swedish economic growth and education since 1800," Canadian Journal of Economics, Canadian Economics Association, vol. 41(1), pages 166-185, February.
  20. Feichtinger, Gustav & Hartl, Richard F. & Kort, Peter M. & Veliov, Vladimir M., 2006. "Anticipation effects of technological progress on capital accumulation: a vintage capital approach," Journal of Economic Theory, Elsevier, vol. 126(1), pages 143-164, January.
  21. Boucekkine, Raouf & del Rio, Fernando & Licandro, Omar, 1999. "Endogenous vs Exogenously Driven Fluctuations in Vintage Capital Models," Journal of Economic Theory, Elsevier, vol. 88(1), pages 161-187, September.
  22. Raouf Boucekkine & David de la Croix & Omar Licandro, 2011. "Vintage capital growth theory: Three breakthroughs," UFAE and IAE Working Papers 875.11, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  23. Faggian, Silvia & Gozzi, Fausto & Kort, Peter M., 2021. "Optimal investment with vintage capital: Equilibrium distributions," Journal of Mathematical Economics, Elsevier, vol. 96(C).
  24. Lin, Hwan C. & Shampine, L.F., 2014. "Finite-length Patents and Functional Differential Equations in a Non-scale R&D-based Growth Model," MPRA Paper 61603, University Library of Munich, Germany.
  25. Boucekkine, Raouf & Martinez, Blanca, 2003. "Replacement, adoption and economic dynamics: lessons from a canonical creative destruction model," Structural Change and Economic Dynamics, Elsevier, vol. 14(3), pages 339-359, September.
  26. Walde, Klaus, 2002. "The economic determinants of technology shocks in a real business cycle model," Journal of Economic Dynamics and Control, Elsevier, vol. 27(1), pages 1-28, November.
  27. Boucekkine, Raouf & Martinez, Blanca, 1999. "Machine Replacement, Technology Adoption and Convergence," LIDAM Discussion Papers IRES 1999025, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
  28. Schlegel, Christoph, 2004. "Analytical and Numerical Solution of a Poisson RBC model," Dresden Discussion Paper Series in Economics 05/04, Technische Universität Dresden, Faculty of Business and Economics, Department of Economics.
  29. Fabbri, Giorgio, 2006. "Viscosity solutions approach to economic models governed by DDEs," MPRA Paper 2826, University Library of Munich, Germany.
  30. Costarelli, D. & Krivoshein, A. & Skopina, M. & Vinti, G., 2019. "Quasi-projection operators with applications to differential-difference expansions," Applied Mathematics and Computation, Elsevier, vol. 363(C), pages 1-1.
  31. Peter Funk, 2005. "Competition and Growth in a Vintage Knowledge Model," Working Paper Series in Economics 15, University of Cologne, Department of Economics.
  32. Gois, Sandra R.F.S.M. & Savi, Marcelo A., 2009. "An analysis of heart rhythm dynamics using a three-coupled oscillator model," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2553-2565.
  33. Marc Germain & Alphonse Magnus, 1998. "De l'impact du progrès technique sur la croissance dans un modèle à générations de capital," Cahiers d'Économie Politique, Programme National Persée, vol. 32(1), pages 99-116.
  34. I. Stamova & A. Stamov, 2013. "On the stability of the solutions of an impulsive Solow model with endogenous population," Economic Change and Restructuring, Springer, vol. 46(2), pages 203-217, May.
  35. Joanne S. Ercolani, 2014. "Cyclical Activity and Gestation Lags in Investment," Manchester School, University of Manchester, vol. 82(5), pages 620-630, September.
  36. Blanca MARTINEZ, 2002. "Adoption Costs, Age of Capital and Technological Substitution," LIDAM Discussion Papers IRES 2002024, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
  37. Fabbri, Giorgio & Iacopetta, Maurizio, 2007. "Dynamic Programming, Maximum Principle and Vintage Capital," MPRA Paper 5115, University Library of Munich, Germany.
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