Browsing by Subject "Optimal growth"
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Item Open Access Bliss and growth: optimal policies under uncertainty(Bilkent University, 1998) Voyvoda, EbruThis thesis conducts a study on growth theory by analyzing how the results of the current optimal growth theory change when households are assumed to have bliss points in their consumption sets. For this purpose a discrete-time, one-sector, stochastic model of endogenous growth, adopting constant returns to scale technology and quadratic utility function, is constructed. The solution of the model through “value function iteration” shows the existence of qualitatively different equilibria, depending on the initial state of the economy. This result demonstrates that it is possible to combine “poverty traps” and “sustained growth” into a common analytical framework.Item Open Access Dynamic implications of the wealth-leisure nexus(Bilkent University, 2022-06) Skenderaj, ArlindoThis thesis analyses a one-sector optimal growth model in which wealth affects the utility obtained from leisure. We consider that an increase in wealth increases the propensity to consume leisure goods and services and hence affects how the instantaneous utility depends on leisure time. We prove the existence of the optimal path and characterize the dynamics and the properties of equilibria. We provide the conditions under which the model has unique or multiple steady states. The intensity of wealth in the utility obtained from leisure and the output elasticity of physical capital play an important role in the number of steady states and in the monotonicity of the optimal path of physical capital. We find that the optimal path of physical capital is monotonic and converges to the unique steady state, provided that the output elasticity of capital is higher than the intensity of wealth in the utility obtained from leisure.Item Open Access Existence, optimality and dynamics of equilibria with endogenous time preference(Elsevier BV, 2011) Erol, S.; Van, C. L.; Saglam, C.This paper studies the dynamic implications of the endogenous rate of time preference depending on the stock of capital, in a one-sector growth model. The planner's problem is presented and the optimal paths are characterized. We prove that there exists a critical value of initial stock, in the vicinity of which, small differences lead to permanent differences in the optimal path. Indeed, we show that a development trap can arise even under a strictly convex technology. In contrast with the early contributions that consider recursive preferences, the critical stock is not an unstable steady state so that if an economy starts at this stock, an indeterminacy will emerge. We also show that even under a convex-concave technology, the optimal path can exhibit global convergence to a unique stationary point. The multipliers system associated with an optimal path is proven to be the supporting price system of a competitive equilibrium under externality and detailed results concerning the properties of optimal (equilibrium) paths are provided. We show that the model exhibits globally monotone capital sequences yielding a richer set of potential dynamics than the classic model with exogenous discounting. (C) 2011 Elsevier B.V. All rights reserved.