  In this paper we compute the stopping times in the game Rock-Paper-Scissors.
By exploiting the recurrence relation we compute the mean values of stopping
times. On the other hand, by constructing a transition matrix for a Markov
chain associated with the game, we get also the distribution of the stopping
times and thereby we compute the mean stopping times again. Then we show that
the mean stopping times increase exponentially fast as the number of the
participants increases.
