If two or more persons have an equal and the highest number of votes for an office, the judges of election, immediately and publicly, shall determine by a drawing of names who of such persons shall be declared elected. A candidate involved in a tie vote may withdraw the candidate’s name from consideration if the candidate is willing to sign a statement to that effect in the presence of and witnessed by the filing officer of the election. If no candidates remain, the office is to be filled according to the rules for filling an office when a vacancy exists.