In case of a tie vote the nominee or nominees must be determined by a drawing of names in the presence of the candidates upon at least five days’ notice to each candidate, by the canvassing board or boards concerned, at a time and place designated by the board. 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 of filling an office when a vacancy exists.