I don't think people actually mean a two horse match race. I think they just want them to meet up like Shared Belief and California Chrome did in the San Antonio earlier this year.
So glad I watched it on live TV--getting to watch history in the making. I think the riders of Bayern and whatisname who was racing in 2nd for so long were using the strategy of wearing Beholder out. Didn't work, obviously, and they ended up in last and next to last place. hahahaha. The talking heads were then going on about a match between Beholder and American Pharoah in the Breeders' Cup Classic. That would really be something to see.
"Wonderful feminine intelligence!" Indeed, @Paniolo_Gal, I love that!