Ricardian Equivalence Model

Ricardian equivalence asks whether the timing of taxes matters when government spending is unchanged. If households internalize future tax liabilities, a debt-financed tax cut raises private saving rather than consumption.

Barro's 1974 formulation made the proposition central to modern fiscal theory. It is a benchmark, not a universal prediction.

The model is valuable because its failure conditions are policy-relevant: finite horizons, liquidity constraints, uncertain future taxes, distortionary taxation, and incomplete bequest motives.

The government budget constraint says borrowing today implies taxes tomorrow, unless spending changes or debt is inflated away.

A fully Ricardian household treats the tax cut as offset by the present value of future taxes. Private wealth does not rise, so consumption does not rise.

A partial Ricardian setting mixes households that save the tax cut with households that spend from current disposable income.

Fiscal-multiplier debates use the benchmark to separate pure timing effects from changes in government purchases or transfers to constrained households.

Stimulus checks have larger demand effects when they reach households with high marginal propensities to consume and limited liquidity.

Debt-financed tax cuts can still matter through distribution, tax distortions, uncertainty, default risk, and political-economy channels outside the clean theorem.