linguistic:translation, information:filtering
The auction

With three buyers, U ′ (v) = W {\displaystyle U'(v)=W} = F (1) (v) = F (v) 2 = v 2 {\displaystyle =F_{({\scriptstyle {\text{1}}})}(v)=F(v)^{2}=v^{2}}, then B (v) = (2 / 3) v {\displaystyle B(v)=(2/3)v}