On any bidding war..... Dont worry about what someone else is bidding.
Figure out what you are willing to pay. What is your number!
The number you feel the house is worth.
How much do you want it, it might be worth more to one than another.
Example.... Parents trying to get their children into a certain school will go above and beyond to get what is best for their kids.
Or Location close to NYC transportation to walk.
Different things drive offers for different reasons.
Just figure out your number and if its ment to be its yours.
Give your highest and best and no regrets.
My best recommendation for multi offers situations!