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).

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