In: Economics
Externalities are effects of production/consumption that affect people not involved in the original transaction. In other words it just means that a good has effects other than the effect on the buyer and the effect on the seller.
A positive externality benefits people not involved in the original transaction. If a volunteer group comes out and cleans the beaches, nearby residents (who did not participate) get nice clean beaches to look at and play on at no cost to them.
A negative externality harms people not involved in the
transaction. If someone is selling sporting equipment to another
person and dumps the waste into the water near your lakefront home,
that is a negative externality because you were harmed by the lake
being contaminated even though you didn’t buy or sell the sporting
equipment.
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Positive externalities can't be said to be a problem (in fact the
problem is that they're undersupplied so we wan't more of
them!), so I'll continue assuming the question is asking about
negative externalities e.g. the smoke emissions example.
The gist of it is at follows: a representative firm decides
quantity (and then price, if the firm has monopolistic
price-setting influence) by equating MR = MC. In other words the
profit maximizing quantity is such that the increment in revenue
from sale of one more unit (aka Marginal Revenue or MR) is equal to
the increment in cost from producing that last unit (aka Marginal
Cost or MC). In a competitive market, the MR is the same as the
market price which is determined by the intersection of industry
demand and industry supply curves but which each
individual firm takes as exogeneous.
When doing this cost-benefit analysis, firms neglect the
negative social cost from each unit of output. They only look at
their own cost aka Private Marginal Cost or PMC. There's also a
Marginal External cost or MEC, which is the external (e.g.
environmental) cost of producing an additional unit. The sum (PMC +
MEC) gives SMC, which is the true marginal cost to society of
another unit of production.
^ the figure shows the SMC is above the MC. Thus for a given market
price P private firms
overproduce by choosing output level Qp,
which is greater than the socially optimal output level
Q-star.
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