Questions: Wage Dynamics and Labor Market Frictions

Question 1

During a severe recession, unemployment rises from 5% to 12%, yet wages fall by only 1–2%. A classical economist argues workers are simply refusing to accept market-clearing wages. How does the search-and-matching framework better explain this pattern?

• A. Workers have strong unions that contractually prevent nominal wage cuts regardless of market conditions
• B. The match surplus remains positive even in downturns, so both workers and firms prefer sticky wages to destroying the match and incurring future search and hiring costs
• C. Minimum wage laws create a binding floor that prevents wages from falling to market-clearing levels
• D. Firms raise efficiency wages to preserve morale, fully offsetting any downward pressure from unemployment

Answer: (B)

In search-and-matching models, once a worker-firm pair is matched, their relationship generates a surplus above what either could get by returning to search. Even in a recession, this match surplus typically remains positive — both sides still prefer the existing arrangement to the costly alternative of separating and searching again. The wage is determined by Nash bargaining over this surplus, not by a spot labor market clearing. As a result, wages are sticky: they respond sluggishly to aggregate conditions because the relevant margin is the value of the ongoing match, not the current market wage for new hires.

Question 2

In a Nash bargaining wage model, a worker's 'outside option' refers to:

• A. The highest wage currently offered by a competing employer actively recruiting the worker
• B. The worker's legal right to strike and withhold labor during negotiations
• C. The value of being unemployed — unemployment benefits, the value of leisure, and the expected gains from continuing to search for a new match
• D. The minimum wage floor set by government regulation

Answer: (C)

In the Nash bargaining framework, the outside option is what each party gets if negotiations break down and the match is dissolved. For the worker, this is the value of unemployment: benefits received while unemployed, the value of leisure, and the discounted expected value of eventually finding a new job through search. This outside option sets a floor on the wage — the worker would reject any offer below it. When unemployment is high, this outside option deteriorates (new jobs are scarcer), which theoretically pushes wages down, but other frictions prevent large adjustments.

Question 3

In a frictionless competitive labor market, wages are determined by supply and demand; in a search-and-matching model, wages are instead determined by bilateral bargaining over the rents from a successful match.

• T. True
• F. False

Answer: True

This contrast is the central insight of search-and-matching theory. In a frictionless market, the wage is the market-clearing price — no individual worker or firm has bargaining power. In a world with search frictions, finding a match takes time and resources, so a matched pair earns rents above their respective outside options. These rents create room for negotiation, and the Nash bargaining solution splits them according to relative bargaining power. The wage is therefore not a market price but the outcome of bilateral negotiation, which is why it behaves differently — especially in response to aggregate shocks.

Question 4

On-the-job search, where employed workers continue looking for better matches while working, tends to compress the wage distribution over time as most workers converge to the same wage.

• T. True
• F. False

Answer: False

On-the-job search actually generates a wage *ladder* — a distribution of wages rather than convergence. Workers accept low-paying jobs as stepping stones and use on-the-job search to receive outside offers that trigger renegotiation or job switching to higher-paying positions. Recessions damage this ladder by reducing the arrival rate of outside offers, slowing wage growth and trapping workers in lower-paying jobs longer. The resulting wage distribution is dispersed, not compressed, and the dynamics of climbing and falling along this ladder connect to macroeconomic phenomena like earnings inequality and post-recession wage scarring.

Question 5

Why does the search-and-matching framework predict that employment adjustments (hiring and firing rates) respond faster to a recession than wage adjustments do?

Model answer: Wages are determined by bargaining over the match surplus — the value of the ongoing relationship relative to both parties' outside options. Even as unemployment rises in a recession and workers' outside options deteriorate, the existing match still generates positive surplus for both sides. The wage is constrained by the worker's bargaining power parameter and by unemployment benefits that put a floor on the outside option. Destroying the match to rehire at a lower wage forces both parties to incur future search and recruiting costs, which may exceed the gains from a lower wage. Firms therefore prefer to maintain wages while adjusting through quantities — slowing hiring, cutting hours, or laying off marginal workers — producing the observed pattern where employment responds faster than wages to aggregate shocks.

This mechanism also explains why unemployment is persistent after recessions: wages don't fall enough to clear the market quickly, so unemployment works off gradually through the slow process of firms opening new vacancies and workers searching for matches. The Beveridge curve — the empirical inverse relationship between vacancies and unemployment — traces out the adjustment path as the economy moves between tight and slack labor market conditions.