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Solving matching pennies Player 2 Expected Head Tail payoffs Head 1 1 1-2 Player 1 Tail 1 1 1 11-x2q-1 g Player 1s best response B1(q): For q<0. 5, Head (r=1) 1/2 For q0.5, Tail(r=0) >Foq=0.5, indifferent(0≤r≤1) 1/2Solving matching pennies Player 2 Head Tail Player 1 Head -1 , 1 1 , -1 Tail 1 , -1 -1 , 1 6 ◼ Player 1’s best response B1(q): ➢ For q<0.5, Head (r=1) ➢ For q>0.5, Tail (r=0) ➢ For q=0.5, indifferent (0r1) 1 q r 1 1/2 1/2 q 1-q 1-2q 2q-1 Expected payoffs r 1-r
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