Congrats! you have may first reply in Steemit! Competition is a very important matter in society, and requires a deep though, it can be very much complex than the example you gives us. We can write a book explaining how good or bad it is.
This society uses competition for allot of things just like animals do, it came from animal nature or survival nature.
At some environments I believe you can't escape from competition, like you have to compete with other to have a job or if you are in war, you have to win the adversary to stay healthy or to have what you wish.

But at some other environments competition as nothing good to give. We can even live in a society where there is no competition of any source. It only depends of the state of mind or the spiritual intelligence of that society.
If you live your live nothing that every thing you do have reflex on the future, if you believe your live has reason. If you believe every challenge you have happens at right moment, if you embrace does challenges without much judgement of what should be result, but just try to overcome it.
If you do that you will realize that there is no need for competition and competition only separate people, only destroys a society.
Try to compete with your friends, wife, sun, father... on the end even if you win you will feel a little bitter feeling.
You can try or better: do your best in everything you do without the necessity of feeling you are competing with someone.
Removing competition does not mean you stop doing your best, it only means you don't care about the others work in sense of fear or lost to you, it means you don't envy them. It means you accept the others as they are with what they have, without comparing yourself with them.

Cheers!