Unit 2 Topic 2.7

Market Disequilibrium and Changes in Equilibrium

every curve, every area

3 min readfreeNot practiced

A toy goes viral in November. By December the shelves are empty, parents line up at dawn and resellers ask double the price online. By February the stores have restocked and the price has settled. A market out of balance does not stay that way: the price keeps moving until the quantity buyers want and the quantity sellers offer are equal again.

Shortage and surplus

Bike helmet market with equilibrium at $40 and 60 helmets: at $30 there is a shortage of 30 helmets (70 demanded, 40 supplied); at $50 there is a surplus of 30 (80 supplied, 50 demanded).
Figure 1. Bike helmets: at $30 a shortage of 30 pushes the price up; at $50 a surplus of 30 pushes it down, toward the $40 equilibrium. Invented data for practice. LevlPrep original diagram.

At any price other than the equilibrium price, the market is in disequilibrium.

  • Below equilibrium, quantity demanded is greater than quantity supplied: a shortage (excess demand) equal to Qd minus Qs. Buyers compete for too few units, sellers find they can charge more, and the price rises. As it does, buyers move up along demand (wanting less) and sellers move up along supply (offering more) until the gap closes.
  • Above equilibrium, quantity supplied is greater than quantity demanded: a surplus (excess supply) equal to Qs minus Qd. Unsold goods pile up, sellers cut prices, and the price falls until the market clears.

Neither curve moves while this happens. Compare quantities: write "quantity supplied exceeds quantity demanded", never that one curve is bigger than the other. This surplus of goods is a different idea from consumer and producer surplus, which are gains from trade.

Worked example: gaps in the helmet market. In Dunmore, an invented city, helmets demanded and supplied per week are (invented data): at $30, 70 and 40; at $40, 60 and 60; at $50, 50 and 80; at $60, 40 and 100.

  1. Equilibrium: $40 and 60 helmets.
  2. At $30: a shortage of 70−40=3070 - 40 = 30 helmets; the price rises.
  3. At $60: a surplus of 100−40=60100 - 40 = 60 helmets; the price falls.
  4. Demand rises by 30 at each price. New quantities demanded at $40 and $50 are 90 and 80. At $50, 80 are demanded and 80 supplied: the new equilibrium is $50 and 80 helmets.

Subtract the smaller quantity from the larger. Adding them, or reporting one quantity, misses the gap.

One curve shifts

When one curve shifts, the equilibrium slides along the curve that stayed put. Draw it as readers score it: label both axes (Price, Quantity), keep the old curve (D1 or S1), draw the new one (D2 or S2) with an arrow, and mark both equilibria with dashed lines to the axes (P1, P2, Q1, Q2).

ChangeEquilibrium priceEquilibrium quantity
Demand increasesrisesrises
Demand decreasesfallsfalls
Supply increasesfallsrises
Supply decreasesrisesfalls

How far each moves depends on elasticity. If supply is very inelastic, a rise in demand shows up mostly as a higher price; if supply is elastic, mostly as more output.

Both curves shift

Left: demand and supply both increase, so quantity rises but the price change is indeterminate. Right: demand increases and supply decreases, so the price rises but the quantity change is indeterminate.
Figure 2. When both curves shift, one change is certain and the other is indeterminate without the sizes of the shifts. LevlPrep original diagram.

Work out each shift's effect alone, then combine. Where the two agree, the change is certain; where they disagree, it is indeterminate: it depends on which shift is larger. In Teralia, an invented country, a drought cuts the olive harvest (supply decreases: price up, quantity down) while a health study raises demand for olive oil (price up, quantity up). The price rises for sure; the quantity is indeterminate. Say exactly that, and do not draw the graph as though you knew the sizes.

What happens to surplus

Worked example: surplus after demand rises. In a kelp bar market (invented data), demand reaches zero at $10, supply starts at $1, and equilibrium is $4 and 60 bars. Demand rises: it now reaches zero at $13, and the new equilibrium is $5 and 80 bars.

  1. Consumer surplus: before 12×60×6=$180\tfrac{1}{2} \times 60 \times 6 = $180, after 12×80×8=$320\tfrac{1}{2} \times 80 \times 8 = $320: up $140.
  2. Producer surplus: before 12×60×3=$90\tfrac{1}{2} \times 60 \times 3 = $90, after 12×80×4=$160\tfrac{1}{2} \times 80 \times 4 = $160: up $70.
  3. Total surplus rises from $270 to $480.

Always recompute each triangle at the new price and the new quantity; using the old quantity is the common slip.

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