I started out in the car business with a very knowledgeable business owner. One lesson that he taught me is that you never lower your price without a reason. If you just meet the price that a customer offers, they will often then offer you an even lower price. Reasons, such as "that car has been on the lot for awhile, so I can take another $100 off".
I bought a boat many years ago. The salesman gave me his price and I made a counter-offer. He said that he could meet my price, but could not include the battery for that price. I accepted the offer and supplied my own battery.
There must be a reason to lower the price, otherwise the customer will assume that there is more discount available. A discount for cash. A discount if we can work it in with another job in the area. A discount if they agree to the price today. Something that lets them know that they must give up something in order to get a lower price.