Until the seller accepts an offer, it is not sold. If the first offer is not as accepted, and a second offer comes in, the seller is not obligated to take the first one simply because it was first. The seller is free to accept the second offer if he has not accepted the first one. In a multiple offer situation, often all buyers are told to submit their highest and best offer and the seller selects one. It is not always the price that makes the offer attractive. The cleaner the contract, the better for the seller. That means put in as few contingencies as possible. Try to give the seller a closing date that he wants. Sometimes a contract with dates that work for the seller and not a lot of oppressive contingencies is more appealing than a higher price offer.