How does the type of economy affect the type of government?

The type of economy usually matches the type of government. For example, a democratic country will usually have a capitalist (or free market-based) economy while a non-democratic country will usually have a socialist economy. The more freedom there is in the government usually brings about more freedom in the economy. However, I would say that the type of government affects the economy and not vice versa. Of course, if the economy completely crashed, it could cause a democratic country to become non-democratic. People tend to vote for radical decisions during crises.