If A is better than B and B is better than C, must A be better than C?

A = 15
B = 13
C = 14

A wins

Average

A 5

B 4.33333

C 4.66667

Better is a qualitative term, but when assign a numerical value to A, B and C
you give them quantitative values. Making this a calculus problem. (derivative)

So… therefore I have no clue.

“Better” is subjective, and wants a definition. You provided one:

“We say that one of A, B or C is the best if they beat each of the others in at least 2 out of the 3 categories.”

Then you provided an example which showed that in fact in that case, A is better than B and B is better than C, but A is not better than C.

Pretty straightforward.

If give each one point for every category won,
they each get two points,
tied. Conclusion?

Here is a related puzzle.
Suppose you meet 12 of your friends, 13 of you.
But you only brought a twelve pack of beer.
The question…
How do tell the other twelve to go home?

@LostInParadise “What can we conclude?”

The transitive property of inequality doesn’t apply across variables with a set of values. Or something like that?

@gorillapaws , Sounds good