from my experience the appraiser is usually told the property needs to be at x value. The property then comes back at x value. There are multiple ag appraisers on this site that I know that should be able to chime in.
We had an appraisal come in at the accepted offer amount on a town home a year ago. That initial sale fell through and I was pissed. Got another offer the same day of the fall through which was above the originally accepted offer. Of course the bank wouldn't finance the new increased offer as the home was just recently appraised. With that I was incensed. My hissy fit caused the realtor to reduce their commission and make up the difference. After this experience I told my wife the next time we sell our home will result in me entering a "facility."
Second offers bank used the same appraiser. As I understand, the appraiser got the order and said they already did it. I certainly ended up very happy thanks to our realtor. Being that we were on a subject to sale for our new home... damn that was a stressful time.The second offer should have had a new appraisal. Don't know how the second buyers bank would have even seen the appraisal unless both buyers happened to go to the same bank. Just be happy that your market is strong enough to get multiple offers.
Second offers bank used the same appraiser. As I understand, the appraiser got the order and said they already did it. I certainly ended up very happy thanks to our realtor. Being that we were on a subject to sale for our new home... damn that was a stressful time.