It makes sense to me that the best athlete cannot be determined in some scenarios, or that the term &quot;best&quot; is simply meaningless.  Due to training and&#x2F;or genetics, player A might be strong in areas where player B is weak.  Likewise, player B might be strong in areas where player C is weak.<p>Neither of these statements gives us any insight into what will happen if player A faces player C, but a traditional tournament structure might well keep A and C from ever facing each other.