Formula

Optimal Pigouvian Tax Formula

To achieve a Pareto-efficient outcome in a market with a negative externality, the optimal Pigouvian tax rate, denoted as xx^*, should be set precisely equal to the marginal external cost (CeC'_{e}) evaluated at the Pareto-efficient level of output (QQ^*). The formula is expressed as x=Ce(Q)x^* = C'_{e}(Q^*). Imposing this specific tax rate incentivizes producers to voluntarily adjust their production to the socially optimal quantity, QQ^*.

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Updated 2026-06-25

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