The coaches of two rival football teams have two options. They can instruct players to be safe or to be aggressive. If both teams play safe, nobody gets hurt and each team has a 50% chance of winning. If one team plays safe and the other plays aggressively, then nobody gets hurt and the aggressive team has a 80% chance of winning. If both teams play aggressively, two players on each team will get hurt and each team still has a 50% chance of winning. Assume that a coach would be willing to trade a player injury for a 10% chance of winning.
Generate a payoff matrix, find the Nash Equilibrium, and explain it.
Generate a payoff matrix, find the Nash Equilibrium, and explain it.