Wage and Price Setting in Labor Market

Jul 31, 2024

Labor Market Model: Wage and Price Setting Decisions

Key Decisions by Firms

  • Wage Setting Decision (Chapter 6)

    • Firms decide on the wages to pay workers to incentivize them to provide the profit-maximizing level of effort.
    • Incomplete contracts necessitate figuring out wages that provide enough employment rent to workers.
    • Employment rent: motivation for workers to avoid job loss.
  • Price Setting Decision (Chapter 7)

    • Firms set a markup over their costs based on the competition and demand elasticity.
    • Cost of production influenced by the wage setting curve.
    • Price setting influenced by the demand curve.

Real Wage Importance

  • Real wage matters for both firms and workers.
    • Real wage: measured in goods, not dollars.
    • Nominal wage: measured in dollars.
    • Firms and workers care about the real purchasing power of wages.

Firm Decisions and Labor Market Equilibrium

  • Firms decide on:

    • Nominal wage influenced by other firms' prices/wages and unemployment rate.
    • Price based on nominal wage and product demand.
    • Output based on price and demand curve.
    • Number of workers based on output and production function.
  • Unemployment Rate Impact

    • High unemployment rate = higher employment rent = firms pay lower wages.
    • Low unemployment rate = lower employment rent = firms pay higher wages.

Wage Setting Curve

  • Plots employment level (0 to 1) against the real wage.

    • Higher wage = lower unemployment rate.
    • Lower wage = higher unemployment rate.
  • Best Response Function

    • Shifts with changes in the unemployment rate.
    • Higher unemployment = lower wage (left shift).
    • Lower unemployment = higher wage (right shift).

Empirical Data

  • US data (1979-2013) shows an upward-sloping wage setting curve.
    • Unemployment rates mapped from 0 to 20% (historically max ~11% nationally).
    • Curve supports the model's validity.

Profit Maximizing Price

  • Optimal price depends on demand elasticity and profit-maximizing point on the demand curve.
    • Revenue and wage bill relationship.
    • Simplified model: profit = revenue - wage bill.

Price Setting Curve

  • Firms' profit determined by workers' production (lambda) and real wage.
    • Price setting curve maximizes firms' profits, influenced by competition, labor unions, trade, but not employment level.

Labor Market Equilibrium

  • Intersection of wage setting and price setting curves.
    • Real wage determined by the price setting curve (horizontal line).
    • Unemployment rate determined by the wage setting curve.
    • Nash equilibrium: mutual best response from workers and firms.

  • Nash Equilibrium Characteristics
    • Workers and firms optimize their situations given the best response of the other.
    • Employment level is optimal given wages.
    • Job seekers cannot convince firms to hire them at lower wages due to concerns about effort levels.