Solving matching pennies Player 2 Expected Head Tail payoffs Head 1 1-2 1 g Player 1 Tail 1 1 1,11 2q-1 Expected 1-q payor 2x-1 1-2y a Player 2's best response 2 x): For r<0.5, Tail(q=0) 1/2 For r>0. 5, Head (q=1) >For=0.5, indifferent(0≤q≤1) 1/2Solving matching pennies Player 2 Head Tail Player 1 Head -1 , 1 1 , -1 Tail 1 , -1 -1 , 1 8 ◼ Player 2’s best response B2(r): ➢ For r<0.5, Tail (q=0) ➢ For r>0.5, Head (q=1) ➢ For r=0.5, indifferent (0q1) q 1-q 1-2q 2q-1 Expected payoffs r 1-r Expected payoffs 2r-1 1-2r 1 q r 1 1/2 1/2