Here's how the game works:
I get a pay bonus. I'm so happy I decide to give away $100$ dollars to one of my $n>1$ friends. My friends try to bribe me to get the money for themselves; I'm a sucker for bribes so I give the money to the highest briber (if there's a tie, I split evenly among those who tie; also, you can choose to bribe nothing). If you don't win, you still lose your bribe (i.e. everyone pays). Assume my friends are rational and only care about their own self interest.
I'm interested to see how this game plays out. First of all it's obvious that no one will give me more than $100$ dollars since that guarantees their expected value is negative. There's also no reason to give me $100$ dollars: at best, they get paid off in full and make nothing (at worst, you tie and only get paid partially), so bribing nothing is unconditionally better.
I then thought maybe everyone bet nothing, but that's not true because any player in that situation can bribe me a dollar and get the entire sum.
Is there a definite strategy that is employed by the players, or is it possible that an array of strategies are possible? I'm not too familiar with game theory, so if there are assumptions about the players I'm missing then feel free to add them in if they make sense.