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Fifty years of mathematical growth theory: Classical topics and new trends

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We present an overview of selected contributions of the Journal of Mathematical Economics' authors in the last half century. We start with the classical optimal growth theory within a benchmark multisector model and outline the successive developments in the analysis of this model, including the turnpike theory. Different refinements of the benchmark are considered along the way. We after survey the abundant literature on endogenous fluctuations in two-sector models. We conclude with two strong trends in the recent growth literature: green growth and infinite-dimensional growth models.

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  • Emmanuelle Augeraud-Véron & Raouf Boucekkine & Fausto Gozzi & Alain Venditti, 2024. "Fifty years of mathematical growth theory: Classical topics and new trends," AMSE Working Papers 2406, Aix-Marseille School of Economics, France.
    • Handle: RePEc:aim:wpaimx:2406
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    1. Gong, Liutang & Zhao, Xiaojun & Yang, Yunhong & Hengfu, Zou, 2010. "Stochastic growth with social-status concern: The existence of a unique stable distribution," Journal of Mathematical Economics, Elsevier, vol. 46(4), pages 505-518, July.
    2. Geldrop, Jan van & Jilin, Shou & Withagen, Cees, 1991. "Existence of general equilibria in economies with natural exhaustible resources and an infinite horizon," Journal of Mathematical Economics, Elsevier, vol. 20(2), pages 225-248.
    3. Sorger, Gerhard, 2009. "Some notes on discount factor restrictions for dynamic optimization problems," Journal of Mathematical Economics, Elsevier, vol. 45(7-8), pages 435-448, July.
    4. Bosi, Stefano & Magris, Francesco & Venditti, Alain, 2005. "Competitive equilibrium cycles with endogenous labor," Journal of Mathematical Economics, Elsevier, vol. 41(3), pages 325-349, April.
    5. Ma, Qingyin & Stachurski, John & Toda, Alexis Akira, 2022. "Unbounded dynamic programming via the Q-transform," Journal of Mathematical Economics, Elsevier, vol. 100(C).
    6. Iwasa, Kazumichi & Zhao, Laixun, 2020. "Inequality and catching-up under decreasing marginal impatience," Journal of Mathematical Economics, Elsevier, vol. 91(C), pages 99-110.
    7. d'Albis, Hippolyte & Le Van, Cuong, 2006. "Existence of a competitive equilibrium in the Lucas (1988) model without physical capital," Journal of Mathematical Economics, Elsevier, vol. 42(1), pages 46-55, February.
    8. Robert M. Solow, 1962. "Substitution and Fixed Proportions in the Theory of Capital," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 29(3), pages 207-218.
    9. Kamihigashi, Takashi, 2007. "Stochastic optimal growth with bounded or unbounded utility and with bounded or unbounded shocks," Journal of Mathematical Economics, Elsevier, vol. 43(3-4), pages 477-500, April.
    10. Jean-Pierre Drugeon, 2008. "On Intersectoral Asymmetries in Factors Substitutability “Equilibrium Production Possibility Frontiers” and the emergence of indeterminacies," Post-Print hal-00182205, HAL.
    11. 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.
    12. Banerjee, Kuntal & Mitra, Tapan, 2010. "Equivalence of utilitarian maximal and weakly maximal programs," Journal of Mathematical Economics, Elsevier, vol. 46(3), pages 279-292, May.
    13. Akao, Ken-Ichi & Kamihigashi, Takashi & Nishimura, Kazuo, 2011. "Monotonicity and continuity of the critical capital stock in the Dechert–Nishimura model," Journal of Mathematical Economics, Elsevier, vol. 47(6), pages 677-682.
    14. Mavi, Can Askan, 2020. "Can harmful events be another source of environmental traps?," Journal of Mathematical Economics, Elsevier, vol. 89(C), pages 29-46.
    15. Emmanuelle Augeraud-Veron & Mauro Bambi & Fausto Gozzi, 2017. "Solving Internal Habit Formation Models Through Dynamic Programming in Infinite Dimension," Journal of Optimization Theory and Applications, Springer, vol. 173(2), pages 584-611, May.
    16. Daron Acemoglu (ed.), 2004. "Recent Developments in Growth Theory," Books, Edward Elgar Publishing, volume 0, number 2981.
    17. Xepapadeas, A. & Yannacopoulos, A.N., 2016. "Spatial growth with exogenous saving rates," Journal of Mathematical Economics, Elsevier, vol. 67(C), pages 125-137.
    18. Boucekkine, R. & Camacho, C. & Fabbri, G., 2013. "Spatial dynamics and convergence: The spatial AK model," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2719-2736.
    19. Woodford, Michael, 1986. "Stationary sunspot equilibria in a finance constrained economy," Journal of Economic Theory, Elsevier, vol. 40(1), pages 128-137, October.
    20. Raines, Brian E. & Stockman, David R., 2010. "Chaotic sets and Euler equation branching," Journal of Mathematical Economics, Elsevier, vol. 46(6), pages 1173-1193, November.
    21. Jess Benhabib & Kazuo Nishimura, 2012. "Indeterminacy and Sunspots with Constant Returns," Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 311-346, Springer.
    22. 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.
    23. Llavador, Humberto & Roemer, John E. & Silvestre, Joaquim, 2010. "Intergenerational justice when future worlds are uncertain," Journal of Mathematical Economics, Elsevier, vol. 46(5), pages 728-761, September.
    24. Nourry, Carine & Venditti, Alain, 2011. "Local indeterminacy under dynamic efficiency in a two-sector overlapping generations economy," Journal of Mathematical Economics, Elsevier, vol. 47(2), pages 164-169, March.
    25. Boucekkine, R. & Ruiz-Tamarit, J.R., 2008. "Special functions for the study of economic dynamics: The case of the Lucas-Uzawa model," Journal of Mathematical Economics, Elsevier, vol. 44(1), pages 33-54, January.
    26. Asheim, Geir B. & Buchholz, Wolfgang & Tungodden, Bertil, 2001. "Justifying Sustainability," Journal of Environmental Economics and Management, Elsevier, vol. 41(3), pages 252-268, May.
    27. Ghiglino, Christian, 2007. "Trade, redistribution and indeterminacy," Journal of Mathematical Economics, Elsevier, vol. 43(3-4), pages 365-389, April.
    28. 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.
    29. Le Van, Cuong & Vailakis, Yiannis, 2005. "Recursive utility and optimal growth with bounded or unbounded returns," Journal of Economic Theory, Elsevier, vol. 123(2), pages 187-209, August.
    30. Hori, Hajime, 1987. "A turnpike theorem for rolling plans," Journal of Mathematical Economics, Elsevier, vol. 16(3), pages 223-235, May.
    31. Gary S. Becker & Casey B. Mulligan, 1997. "The Endogenous Determination of Time Preference," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(3), pages 729-758.
    32. Freni, Giuseppe & Gozzi, Fausto & Pignotti, Cristina, 2008. "Optimal strategies in linear multisector models: Value function and optimality conditions," Journal of Mathematical Economics, Elsevier, vol. 44(1), pages 55-86, January.
    33. Ali Khan, M. & Mitra, Tapan, 2008. "Growth in the Robinson-Solow-Srinivasan model: Undiscounted optimal policy with a strictly concave welfare function," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 707-732, July.
    34. 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.
    35. Epstein, Larry G., 1986. "Implicitly additive utility and the nature of optimal economic growth," Journal of Mathematical Economics, Elsevier, vol. 15(2), pages 111-128, April.
    36. Takekuma, Shin-Ichi, 1980. "A sensitivity analysis on optimal economic growth," Journal of Mathematical Economics, Elsevier, vol. 7(2), pages 193-208, July.
    37. W. Davis Dechert & Kazuo Nishimura, 2012. "A Complete Characterization of Optimal Growth Paths in an Aggregated Model with a Non-Concave Production Function," Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 237-257, Springer.
    38. Ha-Huy, Thai & Tran, Nhat Thien, 2020. "A simple characterisation for sustained growth," Journal of Mathematical Economics, Elsevier, vol. 91(C), pages 141-147.
    39. Can Askan Mavi, 2020. "Can harmful events be another source of environmental traps?," Post-Print hal-02880592, HAL.
    40. Le Van, Cuong & Nguyen, Manh-Hung & Vailakis, Yiannis, 2007. "Equilibrium dynamics in an aggregative model of capital accumulation with heterogeneous agents and elastic labor," Journal of Mathematical Economics, Elsevier, vol. 43(3-4), pages 287-317, April.
    41. Amir, Rabah & Mirman, Leonard J & Perkins, William R, 1991. "One-Sector Nonclassical Optimal Growth: Optimality Conditions and Comparative Dynamics," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 32(3), pages 625-644, August.
    42. Boucekkine, R. & Fabbri, G. & Gozzi, F., 2014. "Egalitarianism under population change: Age structure does matter," Journal of Mathematical Economics, Elsevier, vol. 55(C), pages 86-100.
    43. Barro, Robert J, 1974. "Are Government Bonds Net Wealth?," Journal of Political Economy, University of Chicago Press, vol. 82(6), pages 1095-1117, Nov.-Dec..
    44. Ram Dubey & Tapan Mitra, 2013. "On the nature of Suppes–Sen maximal paths in an aggregative growth model," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(1), pages 173-205, January.
    45. Jensen, Martin Kaae, 2006. "On unbounded growth with heterogenous consumers," Journal of Mathematical Economics, Elsevier, vol. 42(7-8), pages 807-826, November.
    46. Becker, Robert A. & Borissov, Kirill & Dubey, Ram Sewak, 2015. "Ramsey equilibrium with liberal borrowing," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 296-304.
    47. Etro, Federico, 2023. "Technologies for endogenous growth," Journal of Mathematical Economics, Elsevier, vol. 105(C).
    48. Jess Benhabib & Kazuo Nishimura, 2012. "The Hopf Bifurcation and Existence and Stability of Closed Orbits in Multisector Models of Optimal Economic Growth," Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 51-73, Springer.
    49. Dufourt, Frédéric & Venditti, Alain & Vivès, Rémi, 2018. "On sunspot fluctuations in variable capacity utilization models," Journal of Mathematical Economics, Elsevier, vol. 76(C), pages 80-94.
    50. de la Croix, David & Licandro, Omar, 1999. "Life expectancy and endogenous growth," Economics Letters, Elsevier, vol. 65(2), pages 255-263, November.
    51. Hippolyte D'Albis & Emmanuelle Augeraud-Veron, 2008. "Endogenous Retirement and Monetary Cycles," Mathematical Population Studies, Taylor & Francis Journals, vol. 15(4), pages 214-229.
    52. Sorger, Gerhard, 1995. "On the sensitivity of optimal growth paths," Journal of Mathematical Economics, Elsevier, vol. 24(4), pages 353-369.
    53. Lucas, Robert Jr. & Stokey, Nancy L., 1984. "Optimal growth with many consumers," Journal of Economic Theory, Elsevier, vol. 32(1), pages 139-171, February.
    54. Amir, Rabah, 1996. "Sensitivity analysis of multisector optimal economic dynamics," Journal of Mathematical Economics, Elsevier, vol. 25(1), pages 123-141.
    55. d’Albis, Hippolyte & Augeraud-Veron, Emmanuelle & Venditti, Alain, 2012. "Business cycle fluctuations and learning-by-doing externalities in a one-sector model," Journal of Mathematical Economics, Elsevier, vol. 48(5), pages 295-308.
    56. Chichilnisky, Graciela, 1981. "Existence of optimal savings policies with imperfect information and non-convexities," Journal of Mathematical Economics, Elsevier, vol. 8(1), pages 1-14, March.
    57. 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.
    58. Borissov, Kirill & Dubey, Ram Sewak, 2015. "A characterization of Ramsey equilibrium in a model with limited borrowing," Journal of Mathematical Economics, Elsevier, vol. 56(C), pages 67-78.
    59. Schumacher, Ingmar & Zou, Benteng, 2015. "Threshold preferences and the environment," Journal of Mathematical Economics, Elsevier, vol. 60(C), pages 17-27.
    60. Jess Benhabib & Kazuo Nishimura, 2012. "Competitive Equilibrium Cycles," Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 75-96, Springer.
    61. Erol, Selman & Le Van, Cuong & Saglam, Cagri, 2011. "Existence, optimality and dynamics of equilibria with endogenous time preference," Journal of Mathematical Economics, Elsevier, vol. 47(2), pages 170-179, March.
    62. Goenka, Aditya & Nguyen, Manh-Hung, 2020. "General existence of competitive equilibrium in the growth model with an endogenous labor–leisure choice," Journal of Mathematical Economics, Elsevier, vol. 91(C), pages 90-98.
    63. Mitra, Tapan & Privileggi, Fabio, 2009. "On Lipschitz continuity of the iterated function system in a stochastic optimal growth model," Journal of Mathematical Economics, Elsevier, vol. 45(1-2), pages 185-198, January.
    64. Paulo B. Brito, 2022. "The dynamics of growth and distribution in a spatially heterogeneous world," Portuguese Economic Journal, Springer;Instituto Superior de Economia e Gestao, vol. 21(3), pages 311-350, September.
    65. Ballestra, Luca Vincenzo, 2016. "The spatial AK model and the Pontryagin maximum principle," Journal of Mathematical Economics, Elsevier, vol. 67(C), pages 87-94.
    66. Zhang, Yuzhe, 2007. "Stochastic optimal growth with a non-compact state space," Journal of Mathematical Economics, Elsevier, vol. 43(2), pages 115-129, February.
    67. Faggian, Silvia & Gozzi, Fausto, 2010. "Optimal investment models with vintage capital: Dynamic programming approach," Journal of Mathematical Economics, Elsevier, vol. 46(4), pages 416-437, July.
    68. Joseph E. Stiglitz, 1974. "Growth with Exhaustible Natural Resources: The Competitive Economy," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 41(5), pages 139-152.
    69. Mitra, Tapan & Roy, Santanu, 2007. "On the possibility of extinction in a class of Markov processes in economics," Journal of Mathematical Economics, Elsevier, vol. 43(7-8), pages 842-854, September.
    70. Hartl, Richard F. & Kort, Peter M., 2003. "History dependence without unstable steady state: a non-differentiable framework," Journal of Mathematical Economics, Elsevier, vol. 39(8), pages 891-900, November.
    71. Pelgrin, Florian & Venditti, Alain, 2022. "On the long-run fluctuations of inheritance in two-sector OLG models," Journal of Mathematical Economics, Elsevier, vol. 101(C).
    72. Dana, Rose-Anne & Van, Cuong Le, 1991. "Optimal growth and Pareto optimality," Journal of Mathematical Economics, Elsevier, vol. 20(2), pages 155-180.
    73. Bewley, Truman, 1982. "An integration of equilibrium theory and turnpike theory," Journal of Mathematical Economics, Elsevier, vol. 10(2-3), pages 233-267, September.
    74. Skiba, A K, 1978. "Optimal Growth with a Convex-Concave Production Function," Econometrica, Econometric Society, vol. 46(3), pages 527-539, May.
    75. Bosi, Stefano & Seegmuller, Thomas, 2010. "On the Ramsey equilibrium with heterogeneous consumers and endogenous labor supply," Journal of Mathematical Economics, Elsevier, vol. 46(4), pages 475-492, July.
    76. Nishimura, Kazuo & Seegmuller, Thomas & Venditti, Alain, 2015. "Fiscal policy, debt constraint and expectations-driven volatility," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 305-316.
    77. Goenka, Aditya & Jafarey, Saqib & Pouliot, William, 2020. "Pollution, mortality and time consistent abatement taxes," Journal of Mathematical Economics, Elsevier, vol. 88(C), pages 1-15.
    78. Bosi, Stefano & Nishimura, Kazuo & Venditti, Alain, 2010. "Multiple equilibria in two-sector monetary economies: An interplay between preferences and the timing for money," Journal of Mathematical Economics, Elsevier, vol. 46(6), pages 997-1014, November.
    79. Alvarez, Fernando & Stokey, Nancy L., 1998. "Dynamic Programming with Homogeneous Functions," Journal of Economic Theory, Elsevier, vol. 82(1), pages 167-189, September.
    80. Haurie, A., 1976. "Optimal control on an infinite time horizon : The turnpike approach," Journal of Mathematical Economics, Elsevier, vol. 3(1), pages 81-102, March.
    81. Khan, M. Ali & Zaslavski, Alexander J., 2009. "On existence of optimal programs: The RSS model without concavity assumptions on felicities," Journal of Mathematical Economics, Elsevier, vol. 45(9-10), pages 624-633, September.
    82. Montrucchio, Luigi & Sorger, Gerhard, 1996. "Topological entropy of policy functions in concave dynamic optimization models," Journal of Mathematical Economics, Elsevier, vol. 25(2), pages 181-194.
    83. Guerrero-Luchtenberg, C.L., 2000. "A uniform neighborhood turnpike theorem and applications," Journal of Mathematical Economics, Elsevier, vol. 34(3), pages 329-357, November.
    84. Xepapadeas, Anastasios & Yannacopoulos, Athanasios N., 2023. "Spatial growth theory: Optimality and spatial heterogeneity," Journal of Economic Dynamics and Control, Elsevier, vol. 146(C).
    85. Orlov, Sergey & Rovenskaya, Elena, 2022. "Optimal transition to greener production in a pro-environmental society," Journal of Mathematical Economics, Elsevier, vol. 98(C).
    86. Morimoto,Hiroaki, 2010. "Stochastic Control and Mathematical Modeling," Cambridge Books, Cambridge University Press, number 9780521195034, September.
    87. Iwasa, Kazumichi & Sorger, Gerhard, 2018. "Periodic solutions of the one-sector growth model: The role of income effects," Journal of Mathematical Economics, Elsevier, vol. 78(C), pages 59-63.
    88. Torre, Davide La & Liuzzi, Danilo & Marsiglio, Simone, 2021. "Transboundary pollution externalities: Think globally, act locally?," Journal of Mathematical Economics, Elsevier, vol. 96(C).
    89. Jovanovic, Boyan & Yatsenko, Yuri, 2012. "Investment in vintage capital," Journal of Economic Theory, Elsevier, vol. 147(2), pages 551-569.
    90. Miao, Jianjun & Wang, Pengfei, 2014. "Sectoral bubbles, misallocation, and endogenous growth," Journal of Mathematical Economics, Elsevier, vol. 53(C), pages 153-163.
    91. Mitra, Tapan & Ray, Debraj, 1983. "Efficient and optimal programs when investment is irreversible : A duality theory," Journal of Mathematical Economics, Elsevier, vol. 11(1), pages 81-113, January.
    92. Kazuo Nishimura & Alain Venditti, 2012. "Indeterminacy in Discrete-Time Infinite-Horizon Models with Non-linear Utility and Endogenous Labor," Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 363-400, Springer.
    93. W. A. Brock, 1970. "On Existence of Weakly Maximal Programmes in a Multi-Sector Economy," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 37(2), pages 275-280.
    94. Le Van, Cuong & Nguyen, Manh-Hung & Vailakis, Yiannis, 2007. "Equilibrium dynamics in an aggregative model of capital accumulation with heterogeneous agents and elastic labor," Journal of Mathematical Economics, Elsevier, vol. 43(3-4), pages 287-317, April.
    95. Augeraud-Veron, Emmanuelle & Bambi, Mauro, 2015. "Endogenous growth with addictive habits," Journal of Mathematical Economics, Elsevier, vol. 56(C), pages 15-25.
    96. Drugeon, Jean-Pierre, 2008. "On intersectoral asymmetries in factors substitutability, "Equilibrium Production Possibility Frontiers" and the emergence of indeterminacies," Journal of Mathematical Economics, Elsevier, vol. 44(3-4), pages 277-315, February.
    97. Robert A. Becker, 1980. "On the Long-Run Steady State in a Simple Dynamic Model of Equilibrium with Heterogeneous Households," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 95(2), pages 375-382.
    98. Boldrin, Michele & Montrucchio, Luigi, 1986. "On the indeterminacy of capital accumulation paths," Journal of Economic Theory, Elsevier, vol. 40(1), pages 26-39, October.
    99. Joseph Stiglitz, 1974. "Growth with Exhaustible Natural Resources: Efficient and Optimal Growth Paths," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 41(5), pages 123-137.
    100. Deng, Liuchun & Khan, M. Ali & Mitra, Tapan, 2020. "Exact parametric restrictions for 3-cycles in the RSS model: A complete and comprehensive characterization," Journal of Mathematical Economics, Elsevier, vol. 90(C), pages 48-56.
    101. Alexandre Scheinkman, Jose, 1976. "On optimal steady states of n-sector growth models when utility is discounted," Journal of Economic Theory, Elsevier, vol. 12(1), pages 11-30, February.
    102. Brock, William & Xepapadeas, Anastasios, 2008. "Diffusion-induced instability and pattern formation in infinite horizon recursive optimal control," Journal of Economic Dynamics and Control, Elsevier, vol. 32(9), pages 2745-2787, September.
    103. Stachurski, John, 2003. "Economic dynamical systems with multiplicative noise," Journal of Mathematical Economics, Elsevier, vol. 39(1-2), pages 135-152, February.
    104. Jean-Pierre Drugeon, 2008. "On Intersectoral Asymmetries in Factors Substitutability “Equilibrium Production Possibility Frontiers” and the emergence of indeterminacies," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00182205, HAL.
    105. Banerjee, Kuntal, 2017. "Suppes–Sen maximality of cyclical consumption: The neoclassical growth model," Journal of Mathematical Economics, Elsevier, vol. 70(C), pages 51-65.
    106. Peleg, Bezalel & Ryder, Harl Jr., 1974. "The modified golden rule of a multi-sector economy," Journal of Mathematical Economics, Elsevier, vol. 1(2), pages 193-198, August.
    107. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
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    Keywords

    Growth theory; multisector models; turnpike theory; green growth; infinite-dimensional growth models; optimization;
    All these keywords.

    JEL classification:

    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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