Yes, that's true, and because of that the lower class systematically vote for parties and policies that harm lower class to benefit the wealthy.
Actually, this - class consciousness / false consciousness; the understanding (or lack of it) of the role and interests of the class you're in - was one of key concepts of Marx writings, too bad that this association currently makes many people automatically discard these ideas even if they actually are quite relevant to their interests.
Actually, this - class consciousness / false consciousness; the understanding (or lack of it) of the role and interests of the class you're in - was one of key concepts of Marx writings, too bad that this association currently makes many people automatically discard these ideas even if they actually are quite relevant to their interests.