Those are just two of the basic needs, especially in the human species, according to Maslow's hierarchy of needs. <br />
The others are breathing, water, sleep, homeostasis, and excretion.
If you get down to the basics, sex and survival would be the focal points of what humans strive to compete for.<br />
However, I'd also say there are other things that human beings compete for as well. It goes beyond sex and survival in many cases. Anything that may involve the ego and the expansion of it, people will compete against/for.
Unwittingly, perhaps. I'm basically just trying to say that human competitiveness (while mainly focused around sex and the need for survival) includes other things as well.