Economics: Class 12 (Part 2) — Chapter 5: Market Equilibrium

5.1 Equilibrium, Excess Demand, and Excess Supply

In a perfectly competitive market, market equilibrium is reached when the plans of all consumers and firms match, clearing the market. At this point, the aggregate quantity demanded equals the aggregate quantity supplied.

Key Equilibrium Concepts

  • Equilibrium Price ($p^*$): The price at which market demand equals market supply: $$q^D(p^*) = q^S(p^*)$$
  • Equilibrium Quantity ($q^*$): The quantity bought and sold at the equilibrium price.
  • Excess Demand: A situation where market demand exceeds market supply at a price below equilibrium ($q^D > q^S$).
  • Excess Supply: A situation where market supply exceeds market demand at a price above equilibrium ($q^S > q^D$).

Out-of-Equilibrium Behaviour

When the market is not in equilibrium, price adjustments occur to clear the market. This self-correcting mechanism is historically referred to as the Invisible Hand. If there is excess demand, competition among buyers pushes prices up. If there is excess supply, competition among sellers pushes prices down.

5.2 Market Equilibrium with Fixed Number of Firms

Under the assumption of a fixed number of firms, equilibrium is determined at the intersection of the market demand and market supply curves.

Algebraic Determination Example

Consider a market where demand and supply curves are given by:

$$q^D = 200 - p$$

$$q^S = 120 + p$$

Equating demand and supply to find the equilibrium price ($p^*$):

$$200 - p^* = 120 + p^* \implies 2p^* = 80 \implies p^* = 40$$

Substituting $p^* = 40$ back into either equation yields the equilibrium quantity ($q^*$):

$$q^* = 200 - 40 = 160$$

Wage Determination in Labour Market

The theory of wage determination applies demand-supply analysis to the labour market, where households supply labour and firms demand it.

  • Marginal Revenue Product of Labour ($MRP_L$): The additional revenue earned by employing an extra unit of labour: $$MRP_L = MR \times MP_L$$
  • Value of Marginal Product of Labour ($VMP_L$): In a perfectly competitive market, since marginal revenue equals price ($MR = p$), we have: $$VMP_L = p \times MP_L$$
  • A profit-maximising firm hires labour up to the point where the wage rate ($w$) equals the $VMP_L$: $$w = VMP_L$$
  • Labour Supply Curve: Represents the trade-off between income and leisure. An individual's supply curve can be backward-bending at very high wages, but the aggregate market supply curve remains upward-sloping.
5.3 Shifts in Demand and Supply (Fixed Number of Firms)

Changes in consumer preferences, incomes, technology, or input prices shift the demand or supply curves, altering the equilibrium price and quantity.

Individual Shifts

  • Demand Shift: A rightward shift in demand increases both equilibrium price and quantity. A leftward shift decreases both.
  • Supply Shift: A rightward shift in supply decreases equilibrium price and increases equilibrium quantity. A leftward shift increases equilibrium price and decreases equilibrium quantity.

Simultaneous Shifts

When both curves shift simultaneously, the net effect on equilibrium price and quantity depends on the direction and magnitude of the shifts:

Shift in DemandShift in SupplyQuantity ImpactPrice Impact
LeftwardLeftwardDecreasesMay increase, decrease, or remain unchanged
RightwardRightwardIncreasesMay increase, decrease, or remain unchanged
LeftwardRightwardMay increase, decrease, or remain unchangedDecreases
RightwardLeftwardMay increase, decrease, or remain unchangedIncreases
5.4 Market Equilibrium with Free Entry and Exit

When firms can freely enter and exit the market, the long-run equilibrium price is determined solely by the minimum average cost of production.

Equilibrium Conditions

  • Firms earn only normal profits, meaning supernormal profits are zero and no losses are incurred.
  • The equilibrium price ($p_0$) is fixed at: $$p_0 = \text{min } AC$$
  • The equilibrium number of firms ($n_0$) is determined by dividing the total market demand ($q_0$) by the output supplied by an individual firm ($q_{0f}$): $$n_0 = \frac{q_0}{q_{0f}}$$

Shifts in Demand

With free entry and exit, a shift in demand has no impact on the equilibrium price, which remains anchored at $p = \text{min } AC$. Instead, it only changes the equilibrium quantity and the number of active firms in the market.

5.5 Applications of Demand-Supply Analysis

Price Ceiling

A Price Ceiling is a government-imposed maximum limit on the price of a good or service, typically set below the market-determined equilibrium price to protect consumers of essential goods (e.g., wheat, sugar).

  • Consequences: Leads to excess demand (shortages), necessitating distribution mechanisms like rationing through fair price shops, and can lead to black marketing.

Price Floor

A Price Floor is a government-imposed minimum limit on the price of a good or service, typically set above the equilibrium price (e.g., agricultural price support, minimum wage legislation).

  • Consequences: Leads to excess supply (surpluses), requiring the government to purchase the excess supply to maintain the price floor.