W: (v) compete [Related to: competition] (compete for something; engage in a contest; measure oneself against others)
W: (v) contend [Related to: contention] (compete for something; engage in a contest; measure oneself against others)
W: (v) rival [Related to: rivalry] (be the rival of, be in competition with) "we are rivaling for first place in the race"
S: (n) rival, challenger, competitor, competition, contender (the contestant you hope to defeat) "he had respect for his rivals"; "he wanted to know what the competition was doing"