estion chapter five

1. Suppose there are two types of jobs in the labor market: “safe” jobs and “risky” jobs.
Describe how the worker decides whether to accept a safe job (where she cannot be
injured)
or
a
risky
job
(where
she
will
certainly
be
injured).
2. Describe how the firm decides whether to offer a safe working environment or a risky
environment.
3. How is the market-compensating wage differential between safe jobs and risky jobs
determined?
Which
type
of
job
will
offer
a
higher
wage?
4. Describe how workers and firms “marry” each other in the labor market when there are
the
many types of jobs offering various levels of risk to their workers. What does the slope
of
hedonic
5.
wage
function
measure?
How do we calculate the value of a statistical life?
6. What is the impact of health and safety regulations on the utility of workers and on the
profits
of
firms?
7. Show that the competitive labor market compensates workers for the probability that
they
will
be
laid
off.
8. Explain how the method of instrumental variables can be used to estimate the
compensating differential associated with employer-provided health benefits.
1. Assuming consumption and leisure are normal goods, hours worked will fall

1 answer

1. Worker Decision Between Safe and Risky Jobs

A worker’s decision to accept a safe job versus a risky job depends on several factors, including their risk tolerance, the wage offered, and their personal circumstances.

  • Expected Utility: The worker evaluates the expected utility from both job options. For a safe job, the utility consists primarily of the wage and the certainty of avoiding injury. For a risky job, the utility involves the wage, but also incorporates a negative utility from the certain injury (which can affect health, productivity, and other areas of life).
  • Higher Wage Acceptability: If the risky job offers significantly higher wages, the worker might calculate that the financial benefits outweigh the costs associated with injury.
  • Personal Factors: Education, family obligations, previous experiences, and a person's health condition might sway their preference. A worker with dependents might prefer the safer option for job security, while a younger, healthier worker may be more inclined to take the risk for the higher pay.

2. Firm Decision Between Offering Safe or Risky Jobs

Firms decide whether to offer a safe or risky working environment based on several conditions:

  • Cost-Benefit Analysis: Firms analyze the costs of providing a safer work environment (investing in safety gear, training, etc.) versus the potential costs of compensating injured workers and potential lawsuits.
  • Labour Supply and Demand: If there are many workers willing to take on risky jobs for a higher wage, a firm may prefer to offer those jobs. Conversely, if there is a high demand for safe jobs (or a shortage of workers willing to accept risks) they might opt to invest in safer environments.
  • Regulatory Environment: Legal requirements and regulations regarding workplace safety can also influence the firm’s decision. Compliance costs can lead firms to enhance safety measures, thereby shifting the labor market dynamics.

3. Market-Compensating Wage Differential

The market-compensating wage differential is determined by the willingness of workers to accept risk in exchange for higher wages.

  • Risk Premium: Workers demand a risk premium for taking on jobs that expose them to higher injury probabilities. The greater the risk, the higher the wage a firm must offer to attract workers.
  • Higher Wage for Risky Jobs: Typically, risky jobs would offer higher wages than safe jobs due to this risk premium, reflecting the compensation workers require for accepting potential hazards.

4. Worker-Firm Matching in the Labor Market

In a labor market with various job types, workers and firms “marry” through the interaction of supply and demand for labor.

  • Sorting: Workers tend to self-select into jobs that align with their preferences for risk and pay. Those willing to take on more risk for higher pay will gravitate towards risky jobs, while more risk-averse individuals will prefer safer jobs.
  • Hedonic Wage Function: The slope of the hedonic wage function measures the trade-off between wages and job characteristics, particularly the level of risk. A steeper slope indicates a higher willingness to pay for reductions in risk.
  • Statistical Life Value Calculation: The value of a statistical life (VSL) is calculated by examining the wage differential between risky and safe jobs. The increase in wage associated with a marginal increase in risk can be used to imply the VSL.

5. Impact of Health and Safety Regulations

Health and safety regulations affect both worker utility and firm profits by:

  • Increased Costs for Firms: Regulatory compliance often entails additional costs (investments in safety) for firms, potentially reducing their profits.
  • Utility for Workers: For workers, stricter regulations may enhance utility by reducing the risk of injury or illness, leading to better overall job satisfaction and health outcomes.
  • Balance of Effects: Ultimately, the net effect depends on the magnitude of safety improvement versus the financial strain imposed on firms.

6. Competitive Labor Market and Layoff Probability

In a competitive labor market, wage differentials exist to compensate workers for the risk of layoffs:

  • Explicit Compensation for Layoff Risk: Firms lower their wages for jobs with higher expected layoffs to balance the risk. Workers in these positions expect higher variance in job security and long-term income.
  • Wage Adjustment: Workers facing layoff risks will select jobs with a higher wage, reflecting the potential loss of income from unemployment.

7. Estimating Compensating Differentials with Instrumental Variables

  • Instrumental Variables: In economic analysis, instrumental variables are used to isolate causal relationships where direct measurement is challenging. For estimating compensating differentials (specifically health benefits), researchers can use variations in firm size or unionization as instruments.
  • Analyzing Benefits: By measuring how wages differ with the availability of employer-provided health benefits while controlling for unobserved factors, researchers can isolate the compensating differential attributable to those benefits.

Conclusion

Understanding labor market dynamics, including worker decision-making regarding job types, firm decisions about safety provisions, and the resulting wage differentials, can provide insights into broader economic principles and the implications of health and safety regulations on both workers and firms.