Subsidies | Econ Academy

A subsidy is a negative tax — the government pays sellers (or buyers) a per-unit amount. This creates a reverse wedge: the price sellers receive ( $P_{s}$ ) exceeds the price buyers pay ( $P_{b}$ ) by the subsidy amount. Quantity traded rises beyond the competitive equilibrium. But just like a tax, a subsidy creates deadweight loss — by encouraging trades where the cost of production exceeds the value to consumers.

Interactive — Subsidy: who gains, and what does the government pay?

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Worked-example market (D: P = 40 − Q, S: P = Q). Drag the subsidy slider, then flip the toggle to see that ΔCS + ΔPS + DWL equals the full government cost.

Now the math. The reverse wedge widens as the subsidy grows: $P_{s} - P_{b} = s$ . Of every dollar the government pays out, part lands on consumers as extra CS, part lands on producers as extra PS, and the rest vanishes as deadweight loss on units that shouldn’t have been made.

With a subsidy s, sellers receive more than buyers pay. The government pays the difference on every unit.

Key Term

Subsidy effects

A subsidy of $s$ per unit means $P_{s} = P_{b} + s$ . Quantity rises above $Q^{*}$ . Government cost $= s \times Q_{sub}$ . DWL is the triangle of over-produced units where $M C$ is greater than the demand price. Like tax incidence, the benefit splits according to relative elasticities — and DWL grows with the square of the wedge.

Subsidies are the mirror image of taxes. Taxes discourage activity and under-produce; subsidies encourage activity and over-produce. Both distort the market away from the efficient equilibrium. Examples include agricultural subsidies (encouraging overproduction of crops), electric vehicle subsidies (cutting the price to buyers), and education subsidies (tuition assistance).

Worked Example

Same market: Demand $P = 40 - Q$ , Supply $P = Q$ . A 10 dollars subsidy is given to producers. Find the new quantity, prices, and DWL.

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If a subsidy increases both CS and PS, how can there be a deadweight loss?

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Subsidy analysis:

A subsidy causes the quantity traded to:

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