@Dawn162 that's an excellent question!
I will try to answer it based on the limited data I have.
When we first started, we set our prices by hand. Our listing did really well right out of the gate (partly because of the "New" tag, partly because we are just in a high-demand city), so it isn't like we had a big problem to solve. We just had one price for any night (not even a different weekend price.)
After about 3 months, I activated the pricing robot, and we have been on that since. So keep in mind that my data set is quite small, and the time periods are entirely different parts of the year.
Price by hand: 78% occupancy, $4,240 revenue / month
Price by robot: 92% occupancy, $5,450 revenue / month
I really cannot say definitively that the increase in revenue is due to the pricing robot. They are entirely different parts of the year. Plus, as time goes forward, our number of good reviews increases, so it is easier to get bookings.
But that is the data I have.
(If I were really pressed to judge, I would say the robot had a slightly slower time of year to fill.)
(The robot is definitely good at filling in last-minute vacancies.)
The robot costs us about $50/month (1% of bookings).