Elasticity determines economic tax incidence

Elasticity determines economic tax incidence

The side with fewer alternatives changes quantity less and bears more burden.

A tax creates a wedge between buyer and seller prices. If demand is less elastic than supply, buyers bear more through a larger price increase. If supply is less elastic, sellers bear more through a larger reduction in the price they receive. The side legally required to send money to government does not determine the economic burden.

Tax incidence asks who experiences the change relative to the original equilibrium price. If the old price is $10, buyers now pay $13, and sellers keep $9, a $4 tax is split: buyers bear $3 per unit and sellers bear $1. Buyers therefore bear three-fourths of the per-unit burden. The full wedge is buyer price minus seller price, not buyer price minus the tax.

Elasticity explains the split through avoidance. The more elastic side can reduce its market participation more readily and therefore escapes more of the burden. The less elastic side has fewer alternatives and changes quantity less, so more of the tax is reflected in its price. This is a comparative statement: both elasticities matter.

Relative responsiveness Larger burden Reason
Demand less elastic than supply Buyers Buyers withdraw less readily
Supply less elastic than demand Sellers Sellers withdraw less readily
Equal elasticities in a symmetric linear setting Equal split Price adjustments are symmetric
Perfectly inelastic demand Buyers Quantity cannot respond on demand side
Perfectly elastic demand Sellers Buyer price cannot rise above the fixed level

Statutory incidence identifies who remits the tax to government. Economic incidence identifies whose real price changes. Changing the remittance rule from sellers to buyers does not change the basic equilibrium if enforcement and transaction conditions are otherwise identical. Market adjustment recreates the same wedge.

A vertical supply curve

The number of beachfront parcels is fixed, so supply is perfectly inelastic. A recurring per-parcel tax cannot reduce the number of parcels. Demand determines what buyers will pay, and sellers receive the buyer price minus the tax. In the basic model, landowners bear the tax through a lower net price even if buyers write the check.

Do not infer burden from a curve’s label alone. “Demand is inelastic” does not prove buyers bear more unless supply is more elastic. If both sides are very inelastic, compare their relative responsiveness or use the price changes shown. Incidence is about the two curves together.

Tax burden and deadweight loss are different. Burden is the loss of buyer or seller surplus transferred partly to government. Deadweight loss comes from trades that no longer occur. A perfectly inelastic side can bear the entire burden while quantity remains unchanged and the standard deadweight loss is zero.

If exact elasticities are supplied, compare their absolute magnitudes. Demand with |Ed|=0.4 is less elastic than supply with Es=1.2, so buyers bear more. Do not compare the signed demand value -0.4 directly with +1.2 on the number line. Incidence depends on responsiveness magnitudes.

The post-tax quantity is shared by both sides, so incidence changes prices, not separate buyer and seller quantities.

Supply is more inelastic than demand. A per-unit tax will generally impose a larger burden on

  1. buyers because demand slopes down
  2. government because it collects the tax
  3. both sides equally
  4. sellers because they are less responsive
  5. whichever side is named in the statute

sellers because they are less responsive The less elastic side has fewer alternatives and bears more of the economic burden, regardless of statutory remittance.

Demand is much less elastic than supply. A per-unit tax will generally be borne mostly by

  1. sellers
  2. buyers
  3. the government
  4. foreign producers
  5. the side named in the law

buyers The less elastic side changes quantity less and has fewer alternatives, so it bears more of the tax burden.

A tax raises the buyer price by $3, lowers the seller price by $2, and reduces sales to 600 units. Which statement is correct?

  1. Tax revenue is $1,800 because buyers bear $3.
  2. Deadweight loss equals $3,000.
  3. The tax is $5 per unit and revenue is $3,000.
  4. Sellers bear the full tax because they remit it.
  5. The original quantity must have been 1,000.

The tax is $5 per unit and revenue is $3,000. The buyer and seller price changes sum to a $5-per-unit tax wedge. Revenue is $5 per unit × 600 units = $3,000.

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