Maureen's initial answer is correct. A reverse offer (or preemptive offer) is a great tool to use, when you've had lots of showings, and lots of interest, but can't seem to get one of the interested buyers (perhaps who's seen your home multiple times) to pull the trigger and write an offer.
I've used this tactic several times, and succesfully. Sometimes the buyer is concerned that the seller won't be flexible... or in once case they didn't think my seller would accept a home-sale contingency. In that case we wrote an offer with a 30-day-to-get-under-contract contingency, 90-days to close for 98% of list price, and sent it to the buyer's agent.
The responded quickly with a 60-day/90-day @ 95%, and we settled at 45-day/90-day @ 97%. The agent confided in me that they were NOT going to write an offer on our home, because they were sure we wouldn't accept the contingency, and when they saw our pre-emptive strike, they were heartily encouraged.