Indirect preference revelation Suppose x is revealed directly preferred to y, and y is revealed directly preferred to z. Then, by transitivity, x is indirectly revealed preferred to z. Write this as 个 so xy and yIndirect Preference Revelation Suppose x is revealed directly preferred to y, and y is revealed directly preferred to z. Then, by transitivity, x is indirectly revealed preferred to z. Write this as x z so x y and y z x z. D p D p I p I p