"men are always in competition."
I tend to think of this as dickheads are always in competition.
Facetiousness aside, this might be more of an American thing. When I was on a Dutch airbase on a joint exercise with various US and European military personnel (anyone else here from IJOLDS 2005? I'm so old :( ), there was a noticeable difference in styles. US was high competition, European was high cooperation. Is it the same in civil society?