6533b86dfe1ef96bd12c9478
RESEARCH PRODUCT
The Closed-Form Solution for a Family of Four-Dimension Non-Linear MHDS
Ruiz TamaritRuiz Tamaritsubject
Nonlinear systemClass (set theory)State variableEndogenous growth theoryDimension (vector space)Structure (category theory)Applied mathematicsClosed-form expressionMathematical economicsHamiltonian (control theory)Mathematicsdescription
In this paper I propose a method for solving in closed form a general class of four-dimension non-linear modified Hamiltonian dynamic systems. This method may be used to study several intertemporal optimization problems with a predetermined structure, involving unbounded technological constraints as well as multiple controls and state variables. The method is developed here by solving the first order conditions corresponding to the socially optimal solution to the Lucas (1988) two-sector model of endogenous growth.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2002-01-01 | SSRN Electronic Journal |