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Special functions for the study of economic dynamics : The case of the Lucas-Uzawa model

Citations

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Cited by:

  1. Constantin Chilarescu, 2018. "The effect of externality on the transitional dynamics: the case of Lucas model," Economics Bulletin, AccessEcon, vol. 32767(3).
  2. Augeraud-Veron, Emmanuelle & Boucekkine, Raouf & Gozzi, Fausto & Venditti, Alain & Zou, Benteng, 2024. "Fifty years of mathematical growth theory: Classical topics and new trends," Journal of Mathematical Economics, Elsevier, vol. 111(C).
  3. Kazuyuki SASAKURA, 2023. "Optimal Schooling for Economic Growth," Working Papers 2302, Waseda University, Faculty of Political Science and Economics.
  4. Massmiliano, Marzo & Daniele, Ritelli & Paolo, Zagaglia, 2011. "Optimal trading execution with nonlinear market impact: an alternative solution method," MPRA Paper 35393, University Library of Munich, Germany.
  5. Constantin Chilarescu & Ioana Viasu, 2016. "A Closed-form Solution of a Two-sector Endogenous Growth Model with Habit Formation," Australian Economic Papers, Wiley Blackwell, vol. 55(2), pages 112-127, June.
  6. Antony, Jürgen & Klarl, Torben, 2019. "Resource depletion in a Ramsey economy with subsistence consumption, exogenous technical change and capital depreciation: A full characterization," VfS Annual Conference 2019 (Leipzig): 30 Years after the Fall of the Berlin Wall - Democracy and Market Economy 203640, Verein für Socialpolitik / German Economic Association.
  7. Bofota, Youyou Baende & Boucekkine, Raouf & Bala, Alain Pholo, 2016. "Social Capital As An Engine Of Growth: Multisectoral Modeling And Implications," Macroeconomic Dynamics, Cambridge University Press, vol. 20(8), pages 2093-2122, December.
  8. Bosi, Stefano & Ismael, Mohanad & Venditti, Alain, 2016. "Collateral and growth cycles with heterogeneous agents," Journal of Macroeconomics, Elsevier, vol. 48(C), pages 327-350.
  9. Hassan Benchekroun & Cees Withagen, 2008. "Global Dynamics In A Growth Model With An Exhaustible Resource," Departmental Working Papers 2008-01, McGill University, Department of Economics.
  10. Alberto Bucci & Simone Marsiglio, 2019. "Financial development and economic growth: long‐run equilibrium and transitional dynamics," Scottish Journal of Political Economy, Scottish Economic Society, vol. 66(3), pages 331-359, July.
  11. Raouf Boucekkine & Natali Hritonenko & Yuri Yatsenko, "undated". "Optimal Firm Behavior under Environmental Constraints," Working Papers 2008_11, Business School - Economics, University of Glasgow.
  12. Brito, Paulo & Venditti, Alain, 2010. "Local and global indeterminacy in two-sector models of endogenous growth," Journal of Mathematical Economics, Elsevier, vol. 46(5), pages 893-911, September.
  13. Jürgen Antony & Torben Klarl, 2019. "Non-Renewable Resources in a Ramsey Economy with Subsistence Consumption, Human and Physical Capital Accumulation: A full Characterization," Bremen Papers on Economics & Innovation 1904, University of Bremen, Faculty of Business Studies and Economics.
  14. Hiraguchi, Ryoji, 2009. "A solution to the Lucas-Uzawa model with increasing returns to scale: Note," Economic Modelling, Elsevier, vol. 26(5), pages 831-834, September.
  15. Boucekkine, Raouf & Hritonenko, Natali & Yatsenko, Yuri, 2011. "Scarcity, regulation and endogenous technical progress," Journal of Mathematical Economics, Elsevier, vol. 47(2), pages 186-199, March.
  16. La Torre, Davide & Marsiglio, Simone, 2010. "Endogenous technological progress in a multi-sector growth model," Economic Modelling, Elsevier, vol. 27(5), pages 1017-1028, September.
  17. José Ramón Ruiz Tamarit & Manuel Sánchez Moreno, 2006. "Optimal Regulation And Growth In A Natural-Resource-Based Economy," Working Papers. Serie AD 2006-21, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  18. Roy Cerqueti & Raffaella Coppier & Gustavo Piga, 2012. "Corruption, growth and ethnic fractionalization: a theoretical model," Journal of Economics, Springer, vol. 106(2), pages 153-181, June.
  19. Hiraguchi, Ryoji, 2009. "A note on the closed-form solution to the Lucas-Uzawa model with externality," Journal of Economic Dynamics and Control, Elsevier, vol. 33(10), pages 1757-1760, October.
  20. Chilarescu, Constantin, 2011. "On the existence and uniqueness of solution to the Lucas–Uzawa model," Economic Modelling, Elsevier, vol. 28(1), pages 109-117.
  21. Arantza Gorostiaga & Jana Hromcová & Miguel-Ángel López-García, 2013. "Optimal taxation in the Uzawa–Lucas model with externality in human capital," Journal of Economics, Springer, vol. 108(2), pages 111-129, March.
  22. Boucekkine, R. & Martínez, B. & Ruiz-Tamarit, J.R., 2013. "Growth vs. level effect of population change on economic development: An inspection into human-capital-related mechanisms," Journal of Mathematical Economics, Elsevier, vol. 49(4), pages 312-334.
  23. Benchekroun, Hassan & Withagen, Cees, 2011. "The optimal depletion of exhaustible resources: A complete characterization," Resource and Energy Economics, Elsevier, vol. 33(3), pages 612-636, September.
  24. Constantin Chilarescu, 2019. "Closed form solutions of Lucas Uzawa model with externalities via partial Hamiltonian approach. Some Clarifications," Papers 1907.12623, arXiv.org.
  25. C. Chilarescu & I. Viasu, 2019. "Uniqueness and Multiple Trajectories for the Case of Lucas Model," Computational Economics, Springer;Society for Computational Economics, vol. 54(3), pages 1157-1177, October.
  26. Agustin, PEREZ BARAHONA, 2007. "Capital Accumulation and Non-Renewable Energy Resources : a Special Functions Case," Discussion Papers (ECON - Département des Sciences Economiques) 2007008, Université catholique de Louvain, Département des Sciences Economiques.
  27. Robert Feicht & Wolfgang Stummer, 2010. "Complete Closed-form Solution to a Stochastic Growth Model and Corresponding Speed of Economic Recovery preliminary," DEGIT Conference Papers c015_041, DEGIT, Dynamics, Economic Growth, and International Trade.
  28. Ruiz-Tamarit, J.R. & Ventura-Marco, M., 2011. "Solution to nonlinear MHDS arising from optimal growth problems," Mathematical Social Sciences, Elsevier, vol. 61(2), pages 86-96, March.
  29. Nastasia Henry & Alain Venditti, 2023. "On the (de)stabilization role of protectionism: Theory and evidence," Working Papers hal-04311555, HAL.
  30. Raouf, BOUCEKKINE & Bity, DIENE & Theophile, AZOMAHOU, 2006. "The Growth economics of epidemics," Discussion Papers (ECON - Département des Sciences Economiques) 2006021, Université catholique de Louvain, Département des Sciences Economiques.
  31. Alberto BUCCI & Cinzia COLAPINTO & Martin FORSTER & Davide LA TORRE, 2008. "On human capital and economic growth with random technology shocks," Departmental Working Papers 2008-36, Department of Economics, Management and Quantitative Methods at Università degli Studi di Milano.
  32. Prskawetz, Alexia & Veliov, Vladimir M., 2007. "Age-specific dynamic labor demand and human capital investment," Journal of Economic Dynamics and Control, Elsevier, vol. 31(12), pages 3741-3777, December.
  33. Dirk Bethmann & Markus Reiß, 2012. "Simplifying numerical analyses of Hamilton–Jacobi–Bellman equations," Journal of Economics, Springer, vol. 107(2), pages 101-128, October.
  34. Gómez, Manuel A., 2014. "Equilibrium dynamics in a class of one-sector endogenous growth models with external habits: An application of special functions," Journal of Mathematical Economics, Elsevier, vol. 51(C), pages 50-54.
  35. Rehana Naz, 2017. "Closed-form Solutions for the Lucas-Uzawa model: Unique or Multiple," Papers 1712.08654, arXiv.org.
  36. Ryoji Hiraguchi, 2013. "On a closed-form solution to the stochastic Lucas–Uzawa model," Journal of Economics, Springer, vol. 108(2), pages 131-144, March.
  37. Chilarescu, Constantin, 2009. "A closed-form solution to the transitional dynamics of the Lucas-Uzawa model," Economic Modelling, Elsevier, vol. 26(1), pages 135-138, January.
  38. Raouf Boucekkine & Blanca Martínez & José Ramón Ruiz‐Tamarit, 2008. "Note on global dynamics and imbalance effects in the Lucas–Uzawa model," International Journal of Economic Theory, The International Society for Economic Theory, vol. 4(4), pages 503-518, December.
  39. Alberto BUCCI & Herb E. KUNZE & Davide LA TORRE, 2008. "Parameter identification, population and economic growth in an extended Lucas and Uzawa-type two sector model," Departmental Working Papers 2008-34, Department of Economics, Management and Quantitative Methods at Università degli Studi di Milano.
  40. Gómez, Manuel A., 2021. "On the closed-form solution of an endogenous growth model with anticipated consumption," Journal of Mathematical Economics, Elsevier, vol. 95(C).
  41. BOUCEKKINE, Raouf & MARTINEZ, Blanca & RUIZ-TAMARIT, Jose R., 2007. "Global dynamics and imbalance effects in the Lucas-Uzawa model: further results," LIDAM Discussion Papers CORE 2007025, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  42. Onori, Daria, 2012. "Welfare, competition, specialization and growth," Research in Economics, Elsevier, vol. 66(4), pages 355-370.
  43. Privileggi, Fabio, 2008. "On the transition dynamics in endogenous recombinant growth models," POLIS Working Papers 120, Institute of Public Policy and Public Choice - POLIS.
  44. Constantin Chilarescu & Ciprian Sipos, 2014. "Solving Macroeconomic Models with Homogenous Technology and Logarithmic Preferences - A Note," Economics Bulletin, AccessEcon, vol. 34(1), pages 541-550.
  45. Constantin Chilarescu, 2019. "On the Solutions of the Lucas-Uzawa Model," Papers 1907.12658, arXiv.org.
  46. Antony, Jürgen & Klarl, Torben, 2022. "Poverty and sustainable development around the world during transition periods," Energy Economics, Elsevier, vol. 110(C).
  47. A. Bucci & C. Colapinto & M. Forster & D. La Torre, 2011. "Stochastic technology shocks in an extended Uzawa–Lucas model: closed-form solution and long-run dynamics," Journal of Economics, Springer, vol. 103(1), pages 83-99, May.
  48. Guerrini, Luca, 2010. "The Ramsey model with a bounded population growth rate," Journal of Macroeconomics, Elsevier, vol. 32(3), pages 872-878, September.
  49. Iulia PARA & Ioana VIASU, 2018. "On the Solutions to the Ramsey Model with Logistic Population Growth via the Partial Hamiltonian Approach," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 0(2), pages 142-150, December.
  50. Kazuyuki Sasakura, 2020. "The Education Sector and Economic Growth: A First Study of the Uzawa Model," Working Papers 2013, Waseda University, Faculty of Political Science and Economics.
  51. Chaudhry, Azam & Tanveer, Hafsa & Naz, R., 2017. "Unique and multiple equilibria in a macroeconomic model with environmental quality: An analysis of local stability," Economic Modelling, Elsevier, vol. 63(C), pages 206-214.
  52. Guerrini, Luca, 2010. "A closed-form solution to the Ramsey model with logistic population growth," Economic Modelling, Elsevier, vol. 27(5), pages 1178-1182, September.
  53. Raouf Boucekkine & Bity Diene & Theophile Azomahou, 2008. "Growth Economics of Epidemics: A Review of the Theory," Mathematical Population Studies, Taylor & Francis Journals, vol. 15(1), pages 1-26.
  54. Chilarescu, Constantin, 2011. "On the existence and uniqueness of solution to the Lucas-Uzawa model," Economic Modelling, Elsevier, vol. 28(1-2), pages 109-117, January.
  55. Bella, Giovanni & Mattana, Paolo & Venturi, Beatrice, 2017. "Shilnikov chaos in the Lucas model of endogenous growth," Journal of Economic Theory, Elsevier, vol. 172(C), pages 451-477.
  56. Antony, Jürgen & Klarl, Torben, 2023. "Subsistence consumption and natural resource depletion: Can resource-rich low-income countries realize sustainable consumption paths?," Journal of Macroeconomics, Elsevier, vol. 77(C).
  57. Marsiglio, Simone & La Torre, Davide, 2012. "Population dynamics and utilitarian criteria in the Lucas–Uzawa Model," Economic Modelling, Elsevier, vol. 29(4), pages 1197-1204.
  58. Trimborn, Timo, 2018. "On the analysis of endogenous growth models with a balanced growth path," Journal of Mathematical Economics, Elsevier, vol. 79(C), pages 40-50.
  59. G. Mingari Scarpello & A. Palestini & D. Ritelli, 2009. "Closed form solutions to generalized logistic-type nonautonomous systems," Working Papers 654, Dipartimento Scienze Economiche, Universita' di Bologna.
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