compete

v. (-ting) 1 take part in a contest etc. 2 (often foll. By with, against a person, for a thing) strive. [latin peto seek]

v. i. To contend emulously; to seek or strive for the same thing, position, or reward for which another is striving; to contend in rivalry, as for a prize or in business; as, tradesmen compete with one another.