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Why Public or social goods not be produced through market

Why Public or social goods not be produced through the market?

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Public or social goods would not be produced through the market, because they are indivisible and are not subject to the exclusion principle. A lighthouse is a good example of a public good. To see whether they paid for it or not, the light is there for all. Those who receive benefits without paying are part of the so called free rider problem.

For eg: Flood control, National defense, Public health.

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