On the Application of the Laplace Transform in the Study of Phillips-Type Stabilization Policy ()
ABSTRACT
This paper provides a
reformulation of Phillips’s multiplier-accelerator model with stabilization
policy in terms of the Laplace transform. Applying the Laplace transform, the
differential equations of the economy are transformed into the algebraic ones
on a complex variable. The transfer functions of economic variables are defined
by these algebraic equations. With this representation, we show the effects of
Phillips-type policy on equilibrium level and derive the necessary and sufficient
condition for asymptotic stability.
Share and Cite:
Kageyama, S. (2015) On the Application of the Laplace Transform in the Study of Phillips-Type Stabilization Policy.
Theoretical Economics Letters,
5, 691-696. doi:
10.4236/tel.2015.56080.