Below are the seven stages of Competition:
1. Individual tasks and scoring / no partners / just players working on their personal best.
2. Add a partner / the activity is cooperative / still no scoring
3. Still with a partner / still cooperative / but now you add scoring, but the scoring is against another team.
4. Partner becomes an opponent / the activity is competitive / keep the scoring as part of a team score.
5. Keep the opponent / the activity is still competitive / but the scoring is now head-to-head. (I win or lose, this is the first form of opposition)
6. Keep the opponent / but the activity moves to point or match play / but the scoring is part of a team score.
7. Keep the opponent / still point or match play / but the scoring is now head-to-head. I'm on my own (I win or lose).
Summary: First players just try to get better compared to themselves, then you can add partners, then add team competition, lastly 1-on-1 competitions.
It is also recommended that competitions move from: