Econometrica: Sep 1991, Volume 59, Issue 5
The Once But Not Twice Differentiability of the Policy Function
https://doi.org/0012-9682(199109)59:5<1383:TOBNTD>2.0.CO;2-A
p.
1383-1393
A. Araujo
It is shown that an increasing policy function that is the solution of a $C^2$ dynamic programming problem is always $C^1$. This implies that the value function is $C^2$. Examples are given to show that the policy function might not be twice differentiable and therefore the value might not be three times differentiable, even if the program is $C^3$.Log In To View Full Content