How are airlines going to determine who gets the offer of up to 10k to give up their seat?

United is going to offer up to 10k from now on, when they overbook and need people to give up their seat.

Can you imagine people fighting over who gets the offer to give up their seat? How are airlines going to deal with that? Many people on the plane, I’m sure, would gladly volunteer their seat in exchange for a huge monetary sum.