Here is the role of Mayor, defined by our City Charter.

Section 2.03. Mayor.

(a) Powers and Duties. The Mayor shall be a voting member of the City Council and may make motions and seconds and shall attend and preside at meetings of the Council; represent the City in intergovernmental relationships; appoint the members and officers of Council committees; assign, subject to the consent of Council, agenda items to committees; and perform other duties specified by the Council. The Mayor shall be recognized as head of the City government for all ceremonial purposes, emergency matters, security matters and by the governor for purposes of military law but shall have no administrative duties.