The main difference is that a presidential democracy allows the population to choose the executive, but a parliamentary democracy allows the legislature to choose the executive.
This refers to how a government develop a policy that is used to enforce and control the economy.
It is to be noted that a system of government ensures equality in the distribution of power amongst different state level.
Hence, a presidential democracy allows the population to choose the executive, but a parliamentary democracy allows the legislature to choose the executive.
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