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 xβˆ—x^*, should be set precisely equal to the marginal external cost (Ceβ€²C'_{e}) evaluated at the Pareto-efficient level of output (Qβˆ—Q^*). The formula is expressed as xβˆ—=Ceβ€²(Qβˆ—)x^* = C'_{e}(Q^*). Imposing this specific tax rate incentivizes producers to voluntarily adjust their production to the socially optimal quantity, Qβˆ—Q^*.

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Updated 2025-08-29

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