Which of the following represents a situation in which the requirements of Sen's Value-Restricted Theorem are not met?

A) A society where voters are described by the following three preference profiles:
yPwPxPz
xPzPyPw
zPyPwPx



B) The Supreme Court Justices had the following preferences:

Justices Breyer and Roberts would have preferred not to face any cases involving executive power. If they had to face a case involving executive power, they would have preferred that this case be resolved in favor of the executive branch rather than against the executive branch.

Justices Alito, Gorsuch, Thomas, and Kavanaugh would have preferred to get a case involving executive power and resolve it in favor of the executive. Failing this, they would have preferred not to get a case involving executive power. Their last choice would be for such a case to be decided against the executive branch.

Justices Ginsburg, Sotomayor, and Kagan would have preferred to get a case involving executive power and resolve it against the executive branch. Failing this, they would have preferred to not get a case involving executive power. Their last choice would be for such a case to be decided in favor of the executive branch.


C) A group of friends with the following preferences:

Two prefer going to the opera to karaoke night to playing poker to hiking up to the Living Room.

One prefers playing poker to karaoke night to hiking up to the Living Room to going to the opera.

Three prefer hiking up to the Living Room to playing poker to karaoke night to going to the opera.

Two prefer going to the opera to hiking up to the Living Room to playing poker to karaoke night.



Please briefly explain why you chose the answer you did for the previous question.