Consider the following game. There are two players, 1 and 2. The games they might play are: (1) matching pennies version A (MP-A, where 1 moves first) (2) matching pennies version A, modified so that player 2 moves first and player 1 moves second (3) matching pennies version B (MP-B). Nature selects randomly among these games; each game is chosen with equal likelihood. Nature's choice is observed by both players. Information of MP-A and MP-B is in the slides. (a) Draw the extensive form of this game. (b) Determine the strategy sets for each player in this game

\fMP-B Player 1: one information set, A1 = {H, T}, S1 = Al = {H, T} Player 2: one information set, A2 = {h, t}, S2 = A2 = {h, t} P1 H T P2 - - h h t (2, -2) (-2, 2) (-2, 2) (2, -2)