In a parliamentary system, the process for handling prime ministerial resignations typically involves the ruling political party or coalition selecting a new leader. Upon resignation, the party must convene to choose a successor who can command the confidence of the majority in the parliament. If the prime minister resigns without an interim leader designated, a caretaker government may be appointed to manage state functions until a new prime minister is elected. This process often reflects the party's internal dynamics and can lead to shifts in policy direction, shaping the government's agenda moving forward.