Today we consider the basic AK model and its Bellman equation:
where
or
and ![]()
We consider the following two state model with more general setting:
and
where
and
. Each probability lies between 0 and 1.
The model considered in 0728 is the case
with
.
The resulting policy functions are exactly the same as what we got in 0728.
There is nothing in-between.
Notice that grid method is valid only for a single value function.
We had better compute each policy function
separately.