scholarly journals Existence of solutions in continuous-time optimal growth models

2008 ◽  
Vol 37 (2) ◽  
pp. 321-333 ◽  
Author(s):  
Hippolyte d’Albis ◽  
Pascal Gourdel ◽  
Cuong Le Van
Keyword(s):  
Continuous Time ◽  
Existence Of Solutions ◽  
Growth Models ◽  
Optimal Growth ◽  
Time Optimal ◽  
Optimal Growth Models

scholarly journals Competitive equilibrium cycles for small discounting in discrete-time two-sector optimal growth models

2019 ◽  
Vol 23 (4) ◽  
Author(s):  
Alain Venditti
Keyword(s):  
Discrete Time ◽  
Competitive Equilibrium ◽  
Growth Models ◽  
Optimal Growth ◽  
Critical Value ◽  
Indirect Utility ◽  
Time Optimal ◽  
Optimal Growth Models ◽  
Zero Degree ◽  
Driving Condition

Abstract We study the existence of endogenous competitive equilibrium cycles under small discounting in a two-sector discrete-time optimal growth model. We provide precise concavity conditions on the indirect utility function leading to the existence of period-two cycles with a critical value for the discount factor that can be arbitrarily close to one. Contrary to the continuous-time case where the existence of periodic-cycles is obtained if the degree of concavity is close to zero, we show that in a discrete-time setting the driving condition does not require a close to zero degree of concavity but a symmetry of the indirect utility function’s concavity properties with respect to its two arguments.

scholarly journals A never-decisive and anonymous criterion for optimal growth models

2013 ◽  
Vol 55 (2) ◽  
pp. 281-306 ◽  
Author(s):  
Alain Ayong Le Kama ◽  
Thai Ha-Huy ◽  
Cuong Le Van ◽  
Katheline Schubert
Keyword(s):  
Growth Models ◽  
Optimal Growth ◽  
Optimal Growth Models

scholarly journals Population dynamics and economic development

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Andrea Caravaggio ◽  
Luca Gori ◽  
Mauro Sodini
Keyword(s):  
Population Dynamics ◽  
Low Income ◽  
Continuous Time ◽  
Demographic Transition ◽  
Optimal Growth ◽  
Low Fertility ◽  
High Fertility ◽  
Income Per Capita ◽  
Time Optimal ◽  
Per Capita

<p style='text-indent:20px;'>This research develops a continuous-time optimal growth model that accounts for population dynamics resembling the historical pattern of the demographic transition. The Ramsey model then becomes able to generate multiple determinate or indeterminate stationary equilibria and explain the process of the transition from a state with high fertility and low income per capita to a state with low fertility and high income per capita. The article also investigates the emergence of damped or persistent cyclical dynamics.</p>

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