Policy function calculation from value function iterations

 

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.