I had a somewhat chaotic phase in my romantic life a few years ago, and I just had the thought that a lot of it could be modeled as a result of non-transitive preferences. Specifically,

C preferred being single to being with A.

C preferred being with W to being single.

C preferred being with A to being with W.

I think all three of us could have been spared some heartache if we had figured out that was what was going on.