Public goods are, as defined by economists, non-rival, meaning that the cost of an additional person using the good is zero, and non-excludable, meaning that it is technologically impossible, or prohibitively costly, to prevent people from enjoying the goods.
When something is a pure public good, private markets will fail to supply it in adequate quantities. By definition, firms cannot exclude people who don't pay for the good, hence generating revenues is somewhat problematic, and firms will tend to either go out of business, or not go into business in the first place.
Since it is widely accepted that governments have a role in providing pure public goods, the definition of a public good is highly political. For example, to argue that HPV vaccines are a pure public good is to argue that private markets will under-supply the vaccines, so government intervention (and, most especially, government finance) is necessary.
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