Question

Coach Steroid likes his players to be big, fast, and obedient. If player A is better than player B in two of these three characteristics, Steroid will prefer A to B. Three players try out for quarterback. Wilbur Westinghouse weighs 320 pounds, runs very slowly, and is quite obedient. Harold Hotpoint weighs 240 pounds, runs extremely fast, and is extremely disobedient. Jerry Jacuzzi weighs 150 pounds, runs at average speed, and is extremely obedient. Does Coach Steroid have transitive preferences?

Answer 1

Answer: No.

Explanation: Coach Steroid prefers Wilbur Westinghouse, because he is heavier and obedient then Harold Hotpoint.

Harold Hotpoint is preferred to Jerry Jacuzzi because is faster and heavier.

But preferring Jerry Jacuzzi to Wilbur Westinghouse, because of the obedience and because he is fastest.

His preferences are in a cycle mood, they are not transitive.