Question: Consider the three-player game in which each player can choose Up or Down. In matrix form the game is
a) Draw the extensive form of the game assuming the players choose simultaneously.
(b) Use Gambit to solve the game and show that the mixed Nash Equilibrium is X∗ = (0.98159, 0.01841), Y∗ = (0.54869, 0.45131), Z∗ = (0.47720, 0.5228).