Your buyers agent should be assisting you with the question. It all depends EXAMPLE: Short sale and foreclosure YES bank COULD have mulit offers.
If an individual property owner ONCE they have an executed contract registered in title. They can accept back up offers JUST incase 1st offer falls through
Many more questions need answers prior to rendering an opinion on behalf of any party
Lynn911 Dallas Realtor & Consultant, Loan Officer, Credit Repair Advisor
The Michael Group - Dallas Business Journal Top Ranked Realtors