[tmotwu]

Collaboration and competition are not mutually exclusive. Competition does not always result in self-determination. For instance, people mentor others because they might learn something new themselves or grow their network. Thus, you can enjoy collaborating with others while doing so because of your competitive ambitions.

[TeMPOraL]

It's the question of who are you competing with, and how hard. That's why I mentioned PvE and PvP games. I find a fair competition against a (widely understood) environment fine. I dislike competing against my fellow players.

As an example: our class at the university was somewhat unique in that, unlike most other departments/subjects, our scholarships were thresholded only by grade average. So, where students in other classes were competing against each other to reach the few top spots that paid money, in our class, we all helped each other out. Helping another student didn't jeopardize your chances at the scholarship, and it felt nice when the person you helped got the scholarship too. We were playing a PvE game - competing against the grading system. Even though ultimate rewards were given based on individual performance, there was no downside to cooperation.