I'm sorry--There was a typo in my chicken dilemma example 1. In the "actual rankings" part, I accidentally wrote "3", when I meant "100" Here is the correct example: Example 1: Sincere preferences: 99: A>B>>C 2: B>A>>C 100: C>>(A=B) The A voters rank sincerely, and the B voters defect: 99: A>B 2: B 100: C Michael Ossipoff