Mich. Comp. Laws § 168.607

Sec. 607. The required number of electors who receive the highest number of votes for delegates to the fall county convention of a political party must be declared by the county clerk to be elected. If, on the canvass of the votes polled at a primary election for delegates to the fall county convention of a political party, 2 or more candidates for delegate receive an equal number of votes for the same office, and that causes a failure to elect a delegate, the election to the office must be determined as provided in section 625.