How to Deal with Difficult (Even Impossible) People
Competitive types have to win. They see all encounters, no matter how trivial, as a contest. Until they win, they won't let go.
What doesn't work: Competitive types can't be pacified by pleading. Any sign of emotion is like a red flag to a bull. They take your tears as a sign of weakness and charge even harder. They want to go in for the kill, even when you beg them not to. If you stand your ground and try to win, they will most likely jump ship and abandon you.
What works: Competitive types are handled by letting them win. Until they win, they won't have a chance to show generosity. Most competitive types want to be generous; it improves their self-image, and competitive types never lose sight of their self-image. If you have a strong disagreement, never show emotion or ask for mercy. Instead, make a reasonable argument. If the discussion is based on facts, competitive types have a way to back down without losing. (For example, instead of saying "I'm too tired to do this. It's late, and you're being unfair," say "I need more research time on this, and I will get it to you faster if I am fresh in the morning.")