Is there an established phrase like "Claim a false dollar to get a rightful cent"?

"Dicker, dicker, dicker -- don't pay him the sticker."

This was an expression I heard my father use, back in the 1950's. I don't know if it is a common expression. Car dealers use inflated "sticker" pricing, to allow themselves room to bargain and still make a good profit. If you want to get a fair price, you need to start with an offer that you know is low. This allows you to negotiate a fair price somewhere in the middle.

I understand that this is actually the opposite of what was requested, but I believe it still pertains. In a way, the inflated pricing of the dealers is a closer analogy to the topic at hand, but unfortunately, I have no expression to capture the practice of inflating sticker prices.