The correct social welfare function is cardinal/utilitarian. Math that proves this. http://scorevoting.net/UtilFoundns.html http://scorevoting.net/UtilFoundns.

The correct social welfare function is cardinal/utilitarian. Math that proves this. http://scorevoting.net/UtilFoundns.html http://scorevoting.net/UtilFoundns.html So the right answer is presumably #3, although you didn't specify exact utilities so I don't know for sure.