It would be nice to have a notification sent to potential clients who shortlisted a domain when you discount the price. Creates more impetus to buy it off when its discounted.
I think this is already being done, unless something has changed. An email is supposed to be sent to potential buyers, I assume that means those who have shortlisted the name.
That is correct, they get notification when you discount something. Also, @Zollo you have an option to offer discount to people that view your domain when they exit the page, if it is not already discounted. It is under seller preferences, Exit Intent Offers