In parliamentary democracies, there is usually a constitutional mechanism for parliament to be dissolved when it encounters deadlock. The dissolution would trigger a new election with the aim to produce a new parliament that does not have deadlock.
There are mainly two types of dissolution mechanism:
The government (executive branch) has the initiative to trigger the dissolution. Usually at the proposal of the Prime Minister.
The parliament (legislative branch) has the initiative to dissolve itself by a vote.
Both design choices can be observed around the world. But dissolution by executive in particular sounds counterintuitive for a system that puts so much emphasis on parliamentary power.
What are the pros and cons of giving the government (executive branch) the power to unlilaterally dissolve parliament? Is there an explanation as to why this constitutional design choice is so prevalent across the world?