Iowa Code § 50.44: Tie vote.

If more than the requisite number of persons, including presidential electors, are found to have an equal and the highest number of votes, the election of one of them shall be determined by lot. The name of each of such candidates shall be written on separate pieces of paper, as nearly uniform in size and material as possible, and placed in a receptacle so that the names cannot be seen. In the presence of the board of canvassers, one of them shall publicly draw one of such names, and such person shall be declared elected. The result of such drawing shall be entered upon the abstract of votes and duly recorded, and a certificate of election issued to such person, as provided in this chapter.