Problem
Three flatmates are standing in line to get a bungy jumping ticket. They decide between the pure strategies, jump and don't jump. The payoff from jumping is 180/m, where m is the number of flatmates that choose to jump, and the payoff from not jumping is 65. Write the answers related to the following questions only. Do not think beyond the given three below questions.
1) There are three asymmetric pure-strategy Nash Equilibria. What are they?
2) One player chooses the pure strategy, and the other two players symmetrically randomise. What are the three Nash Equilibria in this situation?
3) There is a symmetric mixed-strategy Nash Equilibrium in which each player randomises in choosing the pure strategy. What is that one solution?