“…Otherwise, G 1 ( ) is decreasing when < 1, even if Condition 1 is satis…ed, and so, a simple cuto¤ rule is not optimal. 22 Intuitively, when 1 is very high, the cost 1 of giving the high score to type < 1 is very high, no matter how high is, and so, the dominant factor in deciding which types should be included in risk sharing is that the gain Pr(" < 1 ) is decreasing in . So, when 1 is su¢ ciently high, the low types and the only type above 1 obtain the high score, while the types in the middle obtain the low score.…”