Which form of government, practiced in certain greek city-states and in persian empire describe a society ruled by a king or queen until his or her death at which point power passes on to a family member

It were be primarily a "monarchy" (usually an "absolute monarchy") in which power is passed on to a family member after the king or queen's death, since in such systems it is believed that the royal family in question is "appointed" by God. 

The common sense pamphlet i think

Ithink it is a i’m not sure.