In this exercise, we will show that in a three-player game a vector of strategies that makes use solely of strategies that are not dominated is not necessarily a perfect equilibrium. To do so, consider the following three-player game, where Player I chooses a row (T or B), Player II chooses a column (L or R), and Player III chooses a matrix (W or E).
(a) Find all the dominated strategies.
(b) Find all the Nash equilibria of this game.
(c) Find all the perfect equilibria of this game.