Public goods are under provided in a free market because of the free-rider problem.
Characteristics of a Public Good
Non-rival
Non-excludable
Non-rival means that the consumption of a gold by one person does not effect the amount available to others.
Non-excludable means that no one can be excluded from consuming the good.
The free-rider problem occurs with public goods, because people who do not pay for the good still receive the benefit from it.
Public goods are underprovided because it is difficult to measure the value consumers receive from them so there is no market for them as they are not profitable.
Quasi public goods have characteristics of both public and private goods and are partially provided by the free market.