The social optimum
Market prices reflect private benefits and costs. When a transaction affects third parties, social and private values differ. Marginal social benefit (MSB) = private benefit + external benefit; marginal social cost (MSC) = private cost + external cost. The socially optimal output is where MSB = MSC. A free market produces where MPB = MPC. If the two differ, there is market failure: resources are over- or under-allocated and a welfare loss results.
Negative externalities
Production (a factory polluting a river). Diagram in words: P on the vertical axis, Q horizontal. D = MPB = MSB slopes down. MPC (supply) slopes up, and MSC lies above it, the vertical gap being the external cost. The market produces at Qm (MPB = MPC); the optimum is Qopt (MSB = MSC), lower. The welfare loss triangle lies between MSC and MSB from Qopt to Qm, pointing towards the optimum.
Consumption (smoking near others, driving in congestion). Now MPC = MSC, and MSB lies below MPB. Again too much is consumed; the welfare loss triangle sits between MPB and MSB from Qopt to Qm.
Positive externalities
Production (a firm training workers who later work elsewhere; research spillovers). MSC lies below MPC. The market produces too little.
Consumption (vaccination, education). MSB lies above MPB. The market underconsumes; the welfare loss triangle lies between MSB and MSC from Qm to Qopt.
Merit and demerit goods
Merit goods (healthcare, education) are underconsumed because they create positive externalities and because people underestimate their personal benefits (imperfect information). Demerit goods (tobacco, alcohol, sugary drinks) are overconsumed for the opposite reasons.
Common pool resources
Common pool resources (fish stocks, forests, groundwater, the atmosphere) are rivalrous but non-excludable: one person's use reduces what is left, but it is hard to stop people using them. Each user gains from using more while the cost of depletion is shared, so overuse leads to the tragedy of the commons. This threatens sustainability: meeting present needs without harming future generations.
Policy responses
- Pigouvian (indirect) taxes equal to the external cost shift MPC up to MSC. Carbon taxes charge per tonne of CO2. Strengths: revenue, incentive to cut pollution. Weaknesses: hard to value external costs, may be regressive, demand may be inelastic.
- Tradable permits (cap and trade): a cap on total pollution, permits traded so cuts happen where they are cheapest. Certainty over quantity, but price volatility and setting the cap is political.
- Legislation and regulation: bans, emission limits, quotas on fishing. Simple and clear but inflexible and costly to monitor.
- Education and nudges: raise awareness of costs or benefits; slow and uncertain.
- Subsidies and direct provision for positive externalities (free vaccines, funded schools).
- International agreements for global problems, as no country can solve them alone, though free riding weakens them.
- Collective self-governance: communities managing shared resources through local rules and monitoring, often effective where users know each other and can sanction rule-breakers.
(HL) Calculating welfare loss
Market output 400 units, price USD 30. MSB: \(P = 70 - 0.1Q\); MPC: \(P = -10 + 0.1Q\). External cost USD 10 per unit, so MSC: \(P = 0.1Q\).
- Optimum: \(70 - 0.1Q = 0.1Q \Rightarrow Q = 350\), P = USD 35.
- At Q = 400, MSC = 40 and MSB = 30, a gap of 10.
- Welfare loss \(= \frac{1}{2} \times (400 - 350) \times 10 = 250\).
- A Pigouvian tax of USD 10 per unit moves output to 350.
Common mistakes
- Pointing the welfare loss triangle the wrong way (it always points towards the optimum).
- Mixing up which curve moves: production externalities affect cost curves; consumption externalities affect benefit curves.
- Calling a common pool resource a public good. It is rivalrous.
Exam tips
- 10-mark questions: one accurate diagram, labels MSB, MSC, MPB, MPC, Qm, Qopt and shaded welfare loss, with explanation in context.
- 15-mark questions: compare at least two policies, consider effectiveness, cost, equity, enforcement and time scale, and end with a reasoned judgement.