If there be no choice for any office by reason of two or more candidates having received an equal number of votes, the election commission shall name a date for the appearance of such persons for the purpose of breaking the tie by lot, as provided by law. Should any person or persons fail or refuse to appear, in person or by representative, to determine the result of any tie election at the time and place named by the election commission, such determination shall be made by lot in his or their absence, at the direction and under the supervision of the election commission. Such determination shall in any event, be final, and the time allowed for recount shall not commence to run until such determinations shall be made.