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expected payoffs: example Player 2 H(0.3) T(07) H(0.4) 1 1 1 Player 1 T(0.6) 1,-1 1 1 ■ Player1: >EU1(H,(0.3,0.7)=0.3×(-1)+0.7×1=0.4 EU1(,(0.3,0.7)=0.3×1+0.7×(-1)=0.4 v1(0.4,0.6),(0.3,0.7)=0.4×0.4+0.6×(0.4)=0.08 ■ Player2 EU2(H,(0.4,0.6)=0.4×1+0.6×(-1)=-02 >EU2(T,(0.4,0.6)=0.4×(-1)+0.6×1=0.2 >v2(0.4,0.6),(0.3,0.7)=0.3×(-0.2)+0.7×0.2=0.08Expected payoffs: example Player 2 H (0.3) T (0.7) Player 1 H (0.4) -1 , 1 1 , -1 T (0.6) 1 , -1 -1 , 1 14 ◼ Player 1: ➢ EU1 (H, (0.3, 0.7)) = 0.3×(-1) + 0.7×1=0.4 ➢ EU1 (T, (0.3, 0.7)) = 0.3×1 + 0.7×(-1)=-0.4 ➢ v1 ((0.4, 0.6),(0.3, 0.7))=0.40.4+0.6(-0.4)=-0.08 ◼ Player 2: ➢ EU2 (H, (0.4, 0.6)) = 0.4×1+0.6×(-1) = -0.2 ➢ EU2 (T, (0.4, 0.6)) = 0.4×(-1)+0.6×1 = 0.2 ➢ v2 ((0.4, 0.6), (0.3, 0.7))=0.3×(-0.2)+0.7×0.2=0.08
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