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 purple below. (So, for example, in State 2 Ben strictly prefers Rose to Red, Red to White, and White to Champagne.) State 1 State 2 Arnold Ben Arnold Ben Red Champagne Red Rose White Red White Red Rose Rose Champagne White Champagne White Rose Champagne f*(State 1) = Red f*(State 2) = White Is there any mechanism that implements the social choice function f* in Nash equilibrium? Yes O No