Microeconomics: Demand and Supply of Inputs - Labor Markets

Exam Information

  • In-person, closed book exam (5th June 2025 at 1PM, resit in Aug/Sept 2025).
  • Two parts: A (15 multiple-choice questions, 2 marks each) and B (3 essay questions: 30, 20, and 20 marks).
  • Calculators allowed (no information sending/receiving, no mobile devices, smartwatches, or graphing calculators).
  • Part A requires an HB or 2B pencil on the OMR sheet.
  • Part B requires clear and legible answers.

Input vs. Output Markets

  • Output markets: Firms sell goods/services, households buy.
  • Input markets: Firms buy inputs (labor, machines, raw materials, land), households supply.
  • Input market analysis focuses on input prices and the optimal number of inputs for profit maximization.

Input Market Equilibrium

  • Determined by the intersection of demand (D) and supply (S) curves.
  • An increase in demand shifts the D curve to the right, increasing factor owner’s income.

Factor Markets and Prices

  • Factor market: Market for labor (L), capital (K).
  • Factor price: The price of a factor of production.
    • Wage rate (W): Price of labor.
    • Rental rate (Rk): Price of capital.

Profit Maximization in the Input Market (Short Run)

  • Firms maximize profits by comparing marginal revenue product (MRP) with marginal factor cost (MFC).
  • Profit-maximizing rule: MRP = MFC.

Calculating Marginal Revenue Product (MRP)

  • Definition: Additional revenue generated by employing an additional unit of a factor.
    • MRP = \Delta Total Revenue / \Delta Quantity of the input factor = \Delta TR / \Delta L
  • Alternative formula: MRP = MPP * MR
    • In a competitive output market: MRP = MPL * P

MRP Curve

  • The MRP curve is the firm’s factor demand curve.
  • It is downward sloping due to the law of diminishing returns.

Marginal Factor Cost (MFC)

  • Definition: Additional cost incurred by employing an additional factor unit.
  • In a competitive labor market, firms are factor price takers.
  • The MFC curve is constant and equal to the wage rate (w).

Firm's Demand for Labor

  • A firm hires labor until MRP = MFC.
  • If MRP > wage rate (MFC), the firm can increase profit by hiring more workers.
  • If the wage rate > MRP, the firm can increase profit by hiring fewer workers.
  • A firm’s labor demand curve is the MRP curve.

Equilibrium in the Labor Market

  • Determined by the intersection of the demand for labor and the supply of labor curves.
  • The demand for labor curve slopes downward due to the diminishing marginal revenue product of labor.

Changes in Labor Market Conditions

  • Increase in demand for labor: higher equilibrium wage and quantity of labor.
  • Decrease in demand for labor: lower equilibrium wage and quantity of labor.
  • Increase in supply of labor: lower equilibrium wage, higher quantity of labor.
  • Decrease in supply of labor: higher equilibrium wage, lower quantity of labor.

Wage Elasticity of Demand for Labor (WED)

  • Measures the sensitivity of the demand for labor to changes in wage levels.
  • Elasticity = (% change in quantity demanded of labor) / (% change in wage rate)
    • Inelastic demand: |Elasticity| < 1
    • Elastic demand: |Elasticity| > 1

Wage Elasticity of Supply of Labor (WES)

  • Measures the sensitivity of the supply of labor to changes in wage levels.
  • Elasticity = (% change in quantity supplied of labor) / (% change in wage rate)
    • Inelastic supply: Elasticity < 1
    • Elastic supply: Elasticity > 1

Minimum Wage

  • If labor demand is wage-elastic, a minimum wage above equilibrium leads to a fall in total earnings.
  • If labor demand is wage-inelastic, a minimum wage above equilibrium leads to an increase in total earnings.

Wage Equalization in Theory

  • In perfectly competitive labor markets with identical workers, all workers would earn the same wage.
  • Requires: free movement between industries, full information, equal abilities, and no barriers to entry.

Disequilibrium Wage Differentials (Temporary)

  • Occur when workers move between markets due to wage differences until equilibrium is reached.

Equilibrium Wage Differentials

  • Persistent wage differences due to:
    1. Inability to relocate.
    2. Lack of information.
    3. Differences in skill requirements and demand.