There are 3 people. Each person announces an integer. The smallest unique integer wins: e.g. if your opponents both pick 1, you win with any number. If all 3 pick the same number, the winner is picked randomly
Question: what’s the Nash equilibrium?
(I assume this is meant to be natural numbers or positive ints? Otherwise I don’t think there is a nash equilibrium.)
(I assume this is meant to be natural numbers or positive ints? Otherwise I don’t think there is a nash equilibrium.)