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. $k$ players play Rock and $(n-k)$ players play Scissor), the losers will pay $\${1}$ each for the winners to divide evenly. Find a strategic equilibrium for this game.
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