:sigh: You're not hearing me...
ALL I am saying (in direct response to the repeated suggestion the incident could have been avoided had UA simply continued upping the dollar amount) is UA employees (per their policy (as I understand it)) are NOT authorized to offer unlimited amounts of money until they get a taker. There is a cap on what they can offer. If/when they hit that cap, they proceed to the next step in their policy.
I am not saying what happened Sunday was right nor legal. I am simply saying its silly for people to continue to say they (UA) should have just kept upping the offer until someone took it. Their policy doesn't allow that. At least, not for the folks working the gate. Maybe there is a manager/fixer type running around (as Chet suggested) who does have more pull and could have smoothed everything out. I don't know. Reports say some sort of manager from the airline got on to explain they were going to the random draw. I'd like to think that person would have done what they could to avoid it getting to the point of LE forcibly removing a passenger (which should obviously be the very last option) but maybe not.