Nouns

(n)competitiona business relation in which two parties compete to gain customers“business competition can be fiendish at times”
(n)contest, competitionan occasion on which a winner is selected from among two or more contestants
(n)competition, contention, rivalrythe act of competing as for profit or a prize“the teams were in fierce contention for first place”
(n)rival, challenger, competitor, competition, contenderthe contestant you hope to defeat“he had respect for his rivals”, “he wanted to know what the competition was doing”