Konkurence is both games and between companies. I hope that answered your question. If not please give an eksampel in english and i will translate for you
Does konkurrence mean both "contest" and "economical competitors"? In french and dutch (and I think german too) there are two words for that: La compétition for contest and La concurrence for the other one...
In italian too.
"La competizione" and "la concorrenza".