What are the functions of political parties election and government at the state and local levels?

The mayor runs the city, like the governor would run the state, and the president would run the USA. The mayor has a city council, which are also elected each mayor election. The governor is usually elected every 4 years, except in 2 states, Vermont and New Hampshire, where they serve 2 year terms. The president is elected every 4 years, and can only serve 2 terms max.

"a government in which power is divided between state and national levels". federalism is a system of government in which entities such and state and province, share power with the national government.