Presuming you mean this as a genuine question, "no". There is no network that tracks sales of used books, and manages to send royalty payments to the appropriate party. Mark experiences no direct financial benefit when you purchase a used copy from a bookstore. The best possible interpretation would be that he sells more copies new because the existence of a secondary market allows people to buy new copies with greater abandon.

It does sound like an interesting marketing approach though: open a used book store that does make this promise, and without obligation sends $1 per used book to the listed author. Since it's a 'gift', there would be no need to determine legal ownership, assigned rights, etc. I'm not sure that it would confer enough advantage to cover the lost $1 of profit, but I think it would attract a lot of attention and business if you could keep the prices competitive otherwise.