Now suppose Arnold and Ben have two possible preference profiles - corresponding to two possible states of the world - over four types of wine, as shown in green below. State 1 State 2 Arnold Ben Arnold Ben Red Champagne Red Champagne White Red White Red Rose Rose Champagne Rose Champagne White Rose White f#(State 1) = Red f#(State 2) = Champagne Is there any mechanism that implements the social choice function f # in Nash equilibrium? Yes O No