I just saw this post, better late than never I guess.
For me, it is a combination of rival and athletic. ....Especially after some wine. I love some good roughness, with a lot of hair pulling, especially while kissing at the same time. I also enjoy some slapping (even to the face) and a good amount of breasts grabbing/squeezing. If there is a lot of passion, I like to trib until exhaustion over takes us. And depending on the mood/desire, we will either wake each other up with gentle soft kisses, or pulling each other's hair, ready for round two.
....I never been one to judge on who can make the other reach her orgasm first, more like the one who stops or passes out first has lost the struggle. With that in mind, there never really is a "looser" in that type of sexfight. Most importantly, if me and my partner enjoy the same style, it can be a lot of fun and passionate.