The council shall select biennially from among its members one to serve as mayor for a term of two years and until his successor is chosen and qualified as such. The mayor shall preside at council meetings, when present, and shall have a vote on all matters which come before the council, but shall have no power of veto. He shall be the ceremonial head of the city, but shall exercise no administrative authority. He shall also perform the judicial duties imposed upon mayors by state law. The mayor shall be paid a salary of $800.00 per year so long as he continues to discharge judicial functions. If and when these are terminated he shall receive a salary of $400.00 per year. The council shall have the same authority to increase the salary of future mayors as they have to increase the salaries of their successors, as provided in Section 2.05.