Suppose there are n players (3\leq{n}) showing Paper, Scissor or Rock
simultaneously. If there is no winner then there is no payoff to any player. If
there are winners and losers (e.g. k play Rock and (n-k) play Scissor), the
losers will pay \${1} each for the winners to divide evenly.
Find a strategic equilibrium for this game.

But i know that playing the strategy uniformly is a SE. But how do we show that?