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
We are deeply saddened by the passing of Kate Ho, the John L. Weinberg Professor of Economics and Business Policy at Princeton University and a Fellow of the Econometric Society. Kate was a brilliant IO economist and scholar whose impact on the profession will resonate for many years to come.
By clicking the "Accept" button or continuing to browse our site, you agree to first-party and session-only cookies being stored on your device. Cookies are used to optimize your experience and anonymously analyze website performance and traffic.