The question is listed below.

5. (5 points extra credit) Suppose that a population is endowed with Rock, Paper, or Scissors. The population has a fraction r of rock, p of paper, and s of scissors. In each period players play against a random member of the population for fitness. The fitness they earn is described below: Player 2 R P S R 0, 0 -1, 1 1, -1 Player 1 P 1, -1 0, 0 -1, 1 S -1, 1 1, -1 0, 0 Suppose that you start with an arbitrary population where r > 0, p > 0, and s > 0. Specify the replicator dynamic for any such population. Use this to discuss how a population will evolve over time