World's states coloured by systems of government: Parliamentary systems: Head of government is elected or nominated by and accountable to the legislature
Presidential system: Head of government (president) is popularly elected and independent of the legislature
Presidential republic
Hybrid systems:
Semi-presidential republic: Executive president is independent of the legislature; head of government is appointed by the president and is accountable to the legislature
Assembly-independent republic: Head of government (president or directory) is elected by the legislature, but is not accountable to it
Semi-parliamentary system can refer to one of the following:
a prime-ministerial system, in which voters simultaneously vote for both members of legislature and the prime minister[1]
a system of government in which the legislature is split into two parts that are both directly elected – one that has the power to select and remove the members of the executive by a vote of no confidence and another that does not.[2]
The former was first proposed by Maurice Duverger, who used it to refer to Israel from 1996 to 2001.[1] The second was identified by German academic Steffen Ganghof.[2]
Like semi-presidential systems, semi-parliamentary systems are a strongly rationalized form of parliamentary systems. After Israel decided to abolish the direct election of prime ministers in 2001, there are no national prime-ministerial systems in the world; however, a prime-ministerial system is used in Israeli and Italian cities and towns to elect mayors and councils.