The computation of large-scale nonlinear intertemporal optimization problems requires time-aggregation assumptions. This consists in choosing a specific gridding of the time horizon, and considering the optimal solution computed using this restricted set of dates as an approximation to the underlying continuous- or more disaggregated discrete-time formulation. A procedure generally adopted for time aggregation in applied intertemporal optimization economic models using mathematical programming techniques is shown to be inappropriate, as it introduces a dependency of the solution steady state to a specific choice of sequence of time intervals. We establish necessary and sufficient conditions to avoid this dependency, i.e., to ensure that the discretization satisfies steady-state invariance. The result is a considerable improvement in the numerical accuracy of the time-aggregated approximation. These easy-to-handle conditions are shown to apply to a broad class of models such as multidimensional intertemporal problems and endogenous growth models and may therefore prove extremely powerful in applied works such as large-scale applied general-equilibrium modeling. This conclusion is further highlighted by a comparison between this approach and a spectral-projection method using optimal orthogonal collocation as recently introduced by Judd (1992).
MLA
Mercenier, Jean, and Philippe Michel. “Discrete-Time Finite Horizon Approximation of Infinite Horizon Optimization Problems with Steady-State Invariance.” Econometrica, vol. 62, .no 3, Econometric Society, 1994, pp. 635-656, https://www.jstor.org/stable/2951661
Chicago
Mercenier, Jean, and Philippe Michel. “Discrete-Time Finite Horizon Approximation of Infinite Horizon Optimization Problems with Steady-State Invariance.” Econometrica, 62, .no 3, (Econometric Society: 1994), 635-656. https://www.jstor.org/stable/2951661
APA
Mercenier, J., & Michel, P. (1994). Discrete-Time Finite Horizon Approximation of Infinite Horizon Optimization Problems with Steady-State Invariance. Econometrica, 62(3), 635-656. https://www.jstor.org/stable/2951661
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