Abstract
In this paper we develop a set of innovative forward-shooting algorithms that solve for the global nonlinear saddle path in models with 1–3 jump variables. Exploiting the fact that the algorithms are mechanical and model-free, we have placed canned, fully automated programs in the public domain. The programs do not require any substantive human input. The user’s only responsibility is to type in the equations of the model correctly.
Similar content being viewed by others
References
Ascher U., Matthej R., Russell R. (1988) Numerical solution of boundary value problems for ordinary differential equations. Englewood Cliffs, NJ, Prentice-Hall
Atolia, M., & Buffie, E. (2007) Reverse shooting made Easy: Automating the search for the global nonlinear saddle path, Mimeo. Florida State University.
Brunner M., Strulik H. (2002) Solution of perfect foresight saddle point problems: a simple method and applications. Journal of Economic Dynamics and Control 26: 737–753
Candler G. (1998) Finite-difference methods for continuous-time dynamic programming. In: Marimon R., Scott A.(eds) Computational methods for the study of dynamic economies.. Oxford University Press, New York
Herbert R., Stemp P. (2003) Exploiting model structure to solve the dynamics of a macro model. Computational Economics 21: 203–207
Judd K. (1999) Numerical methods in economics. MIT Press, Cambridge, MA
Judd K. (2002) The parametric path method: An alternative to Fair-Taylor and L-B-J for solving perfect foresight models.. Journal of Economic Dynamics and Control 26: 1557–1583
Keller H. (1968) Numerical methods for two-point boundary-value problems. Blaisdell Publishing Company, London
Lipton D., Poterba J., Sachs J., Summers L. (1982) Multiple shooting in rational expectations models.. Econometrica 50: 1329–1333
McGratten E. (1999) Application of weighted residual methods to dynamic economic models. In: Marimon R., Scott A.(eds) Computational methods for the study of dynamic economies.. Oxford University Press, New York
Mercenier J., Michel P. (1994) Discrete-time finite horizon approximation of infinite horizon optimization problems with steady-state invariance. Econometrica 62: 635–656
Roberts S., Shipman J. (1972) Two-point boundary value problems: Shooting methods. American Elsevier Publishing Company, New York
Sidrauski M. (1967) Rational choice and patterns of growth in a monetary economy. American Economic Review 57: 534–544
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Atolia, M., Buffie, E.F. Smart Forward Shooting. Comput Econ 33, 1–30 (2009). https://doi.org/10.1007/s10614-008-9146-2
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10614-008-9146-2