Disadvantages of a Market economy
The free market ignores inequality, and tends to benefit those who hold most of the wealth.
There are no social security payments for those on low incomes.
There could be monopolies, which could exploit the market by charging higher prices.
There could be the overconsumption of demerit goods, which have large negative externalities, such as tobacco.
Public goods are not provided in a free market, such as national defence.
Merit goods, such as education, are under provided.