Consider the following two sets of individuals and their group preference rankings, aggregated using the same voting rule.

1: individual preferences: x>y>z>w, y>z>w>x, and z>w>x>y

group preferences: x>_Gy, z>_Gx, w>_Gx, y>_Gw, y>_Gz and z>_Gw

2:individual preferences: y>z>x>w, y>w>x>z, and y>w>z>x

group preferences: y>_Gx, y>_Gw, z>_Gy, x>_Gw, z>_Gx, and z>_Gw

Question: Which of Arrow's conditions (P, D, I, or Transitivity) is violated by their group preferences? (hint: checking I requires comparing the outcomes in the two different groups to find a violation).