Suppose that a particular market contains a negative externality in consumption, with MSC=MPC. What should a Pigouvian tax be set to, in order to correct the externality?

Economics (MindTap Course List)
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ISBN:9781337617383
Author:Roger A. Arnold
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Chapter30: Market Failure: Externalities, Public Goods, And Asymmetric Information
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Suppose that a particular market contains a negative externality in consumption, with MSC=MPC. What should a Pigouvian tax be set to, in order to correct the externality?
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Externalities in the market occur when the action of one person makes the other one worse or better off, without suffering the cost or getting the benefit by his action.

MPC which is the marginal private cost is the additional cost to the producer for producing an additional unit of the commodity.

MSC which is the marginal social cost, involves the MPC & the damage cost caused.

Without any externality,

MSC = MPC 

But when there exists the negative externality,

Marginal social cost (MSC) = Marginal private cost (MPC) + External cost( EC) where EC is the damage caused.

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