Journal article: Compensating agents against substantial and sudden shocks requires both targeting tax policies and taking behavioral responses into account. Based on transaction-level data from France, this article exploits quasi-experimental variation provided by 2022 fuel price inflation and excise tax cuts. After disentangling anticipation from price effects, we estimate a price elasticity of fuel demand of -0.31, on average, which varies little with respect to income and location but substantially decreases with fuel spending, in absolute value. Using targeted transfers only achieves imperfect compensation, yet a budget-constrained policy-maker seeking to alleviate excessive losses relative to income prefers income-based transfers to price subsidies.