2.3.2
Note

Positive Externalities

Idea

A positive externality arises when the production or consumption of a good confers an external benefit on third parties. Because the benefit is unpriced, the marginal social benefit lies above the marginal private benefit, and the free market under-allocates resources to the good — producing or consuming below the social optimum and generating a deadweight welfare loss.

Mechanism

The free market settles at QmQ_m, where MPB=MPCMPB = MPC. The social optimum is QsQ_s, where MSB=MSCMSB = MSC. Since MSBMSB exceeds MPBMPB by the marginal external benefit, QmQ_m lies to the left of QsQ_s: the good is under-consumed (consumption externality) or under-produced (production externality) by Qs−QmQ_s - Q_m.

Over that shortfall, each unit would benefit society more than it would cost society, yet it is not traded. Summed across Qs−QmQ_s - Q_m, the forgone net benefit is the deadweight welfare loss — the triangle bounded by the free-market point, the social-optimum point, and the divergence between the social and private curves at QmQ_m.

  • Positive consumption externality — the external benefit attaches to consumption (each person vaccinated lowers others’ chance of infection). The MSBMSB curve sits above MPBMPB.

  • Positive production externality — the external benefit attaches to production (a honey farm’s bees pollinate neighbouring crops, raising others’ yields). The diagram is structurally identical: MSBMSB above MPBMPB, under-production Qs−QmQ_s - Q_m.

Diagram

Price, cost, benefitQuantityMPC = MSCMPBMSBQmQsABC
Positive consumption externality (vaccines). MSB lies above MPB by the marginal external benefit; the free market under-consumes at Qm (MPB = MPC) relative to the social optimum Qs (MSB = MSC). Triangle ABC is the deadweight welfare loss from under-consumption Qs−Qm.

Considerations

Because the externality is unpriced, the market over-prices the good relative to its true social benefit, which is why too little is traded — goods with positive consumption externalities are merit goods. The same diagram serves both the consumption and the production case — only the label on the divergent curve and the wording (under-consumption vs under-production) change. The corrective policies, and the limits on each, are set out in correcting positive externalities.