Labor Market Summarization

The Labor Market

• Firms respond to increased demand by increasing production, leading to higher employment and lower unemployment.

• Lower unemployment leads to higher wages, which increases production costs and prices.

• Higher prices lead workers to ask for higher wages, leading to further price increases.

• The labor market is central to understanding price and wage adjustments.

Wage Determination

• Wages are set through collective bargaining or by employers/individual employees.

• Workers are typically paid above their reservation wage.

• Wages depend on labor-market conditions: lower unemployment leads to higher wages.

• Workers' bargaining power depends on the cost for the firm to replace them and how easy it is for them to find another job.

• Firms may want to pay efficiency wages to increase productivity and decrease turnover.

• Efficiency wage theories link worker productivity to wages.

Wages, Prices, and Unemployment

• The aggregate nominal wage $W$ depends on:

  • Expected price level $P^e$

  • Unemployment rate $u$

  • Other factors $z$

• Workers and firms care about real wages ($W/P$), not nominal wages.

• Wages depend on the expected price level because wages are set in nominal terms before the actual price level is known.

• Higher unemployment weakens workers' bargaining power, leading to lower wages.

• The variable $z$ includes factors like unemployment insurance and employment protection.

Price Determination

• Prices set by firms depend on costs, production function, and input prices.

• Assuming labor as the only production factor, the production function is $Y = AN$, where $Y$ is output, $N$ is employment, and $A$ is labor productivity.

• Simplifying with $A = 1$, the production function becomes $Y = N$.

• Marginal cost of production equals $W$.

• Firms set prices according to $P = (1 + m)W$, where $m$ is the markup over cost.

The Natural Rate of Unemployment

• Assuming nominal wages depend on the actual price level ($P$), wage and price setting determine the natural rate of unemployment.

• Wage-Setting Relation: $\\frac{W}{P} = F(u, z)$

• Price-Setting Relation: $\\frac{W}{P} = \frac{1}{1 + m}$

• Equilibrium requires the real wage chosen in wage setting to equal the real wage implied by price setting.

• Equilibrium condition: $F(u_n, z) = \frac{1}{1 + m}$

• The natural rate of unemployment ($u_n$) is the equilibrium unemployment rate.

• An increase in unemployment benefits (higher $z$) shifts the wage-setting relation up, increasing $u_n$.

• Less stringent antitrust legislation (higher $m$) shifts the price-setting relation down, increasing $u_n$.

• The natural level of employment is $N<em>n = L(1 - u</em>n)$.

• The natural level of output is $Y<em>n = N</em>n = L(1 - u_n)$.

• Equilibrium level of output: $F(1 - \frac{Y_n}{L}, z) = \frac{1}{1 + m}$

Where We Go from Here

• The natural rate of unemployment is derived under the assumptions of labor market equilibrium and $P = P^e$.

• In the short run, $P$ may not equal $P^e$, so unemployment may not equal the natural rate.

• In the medium run, unemployment tends to return to the natural rate.

• Short-run output is determined by monetary and fiscal policy.

• Medium-run output is determined by factors in $F(u_n, z) = \frac{1}{1 + m}$.