Elec. Code, § 10551

(a) No later than the Monday before the first Friday in December the county elections official shall declare the elected candidate or candidates. If there is but one person to be elected to an elective office, the candidate receiving the highest number of votes cast for the candidates for that office shall be declared elected. If there are two or more persons to be elected to an elective office, those candidates equal in number to the number to be elected who receive the highest number of votes for the office shall be declared elected.

(b) If a tie vote makes it impossible to determine which of two or more candidates has been elected, the county elections official shall notify the governing body of the district thereof, and the governing body shall forthwith notify the candidates who have received the tie votes to appear before it either personally or by representative at a time and place designated by the governing body. The governing body shall, at that time and place, determine the tie by lot and the results thereof shall be declared by the governing body. The candidate so chosen shall qualify, take office and serve as though elected at the preceding general district election.