Mayors are not chiefs. In the US, a mayor is the highest political office holder overseeing a city.
A chief is a position similar to a mayor however the chief is directly responsible to the people and they are important ceremonial leaders. A mayor is the head of a municipal council made up of elected representative called aldermen or councilors.
In most cities, the city council or the mayor appoint the chief of police.
MayorThe mayor is chief executive of a city.
Generally the mayor
A mayor is to a city as the president is to the country.
There is no such office as "vice president of New York City" The mayor is the chief executive officer. He appoints a chief deputy mayor who serves at the will of the mayor with not powers of his own.
Mayor
The chief city of a country is typically its capital city.
The president is the chief executive officer of the country. The mayor may be the chief executive office of his city or town, depending on how the local government is set up. ( The mayor may also be the leader of the city council which would be the legislative body of the city, with a city manager hired to run the city. In this case, his office would not be much like the president's office. The president puts a face on the government and can speak as something of a voice of the country; the major can do the same kind of thing for his city or town.
Michael Bloomberg, Mayor of New York City
A mayor, i.e., the elected chief of a village or city.
Mayor's office