Cake eating problem
The value function is
V 1 (w 1 ) = lnc 1 +βlnc 2 =ln
1
1 +βw^1 +βln
β
1 +βw^1 =
= ln^1
1 +β
+lnw 1 +βlnw 1 +βln β
1 +β
$
$ A 2 +B 2 lnw 1.
The value function is
V 1 (w 1 ) = lnc 1 +βlnc 2 =ln
1 +βw^1 +βln
β
1 +βw^1 =
= ln^1
1 +β
+lnw 1 +βlnw 1 +βln β
1 +β
$ A 2 +B 2 lnw 1.