States delegate authority to their sub-units of government (including counties, municipalities, towns or townships, and villages). this delegation creates local autonomy and limits the degree of state influence in local affairs. what is the term used to describe this delegation?

I believe the term is home rule.
The home rules give smaller government entities to handle the cases that are close to their area in order to accelerate the handling process.
This type of delegation is most commonly found in nations that has large area such as United States, Autralia, or Indonesia.

The delegation that creates local autonomy and limits the degree of state influence in local affairs is called "home rule." This delegation is done by state governments in giving authority to their sub-units of government.

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