Solving matching pennies Player 2 Expected Head Tail payoffs Head 1 1 1-2q Player 1 Tail 11q 1 1,11-x2g-1 1-g Player 1's expected payoffs If player 1 chooses Head, -g+(1-q)=1-2g If player 1 chooses Tail, g-(1-9)=2g-1Solving matching pennies Player 2 Head Tail Player 1 Head -1 , 1 1 , -1 Tail 1 , -1 -1 , 1 5 ◼ Player 1’s expected payoffs ➢ If Player 1 chooses Head, -q+(1-q)=1-2q ➢ If Player 1 chooses Tail, q-(1-q)=2q-1 q 1-q 1-2q 2q-1 Expected payoffs r 1-r