Calculating the No-Shirking Premium (€60) from Effort Cost (€25) and Rent (€35)

A company determines the minimum wage it must offer to ensure employees work diligently. This wage is calculated based on several factors, including the employee's next best alternative (their reservation wage), the difficulty of the work (cost of effort), and the effectiveness of supervision (the expected time an employee can shirk before being caught). The company invests in a new, advanced monitoring system that significantly reduces the expected time it takes to detect an employee who is not working. Assuming all other factors remain constant, how will this new system affect the minimum wage the company must pay to ensure employee effort?

Calculating the No-Shirking Wage

Evaluating Cost-Management Strategies

In a model where an employer sets a wage to prevent an employee from shirking, the wage premium paid above the employee's next best alternative must be greater than the employee's cost of effort. This is because if the premium only covered the cost of effort, the employee would be indifferent between working and shirking.

In a model of employee effort, the minimum wage an employer must pay to prevent shirking is composed of several distinct economic components. Match each economic concept to its correct description within this framework.

An employer needs to determine the minimum hourly wage to prevent an employee from shirking. The employee's reservation wage (next best alternative) is $10 per hour, and the cost of effort is $2 per hour. The employee's total planning horizon is 10 weeks, and if they shirk, they expect to be caught after 5 weeks. To ensure the employee does not shirk, the employer must set the hourly wage at $____.

Economic Rationale of the No-Shirking Wage Components

A foundational model in labor economics determines the minimum wage an employer must pay to incentivize an employee to work diligently rather than shirk. This is found by equating the employee's total expected payoff from working with their total expected payoff from shirking. Arrange the following steps to show the logical derivation of this minimum wage, where w is the wage, c is the cost of effort, w_r is the reservation wage, h is the total planning horizon, and s is the expected duration of shirking before being caught.

Evaluating Anti-Shirking Policies

In a company, an employee's total planning horizon (h) is 10 months. Due to lax supervision, an employee who decides to shirk can expect to do so for 8 months (s) before being caught and losing their job. According to the standard labor discipline model, the wage premium paid above the employee's reservation wage must cover both the cost of effort (c) and an additional employment rent to deter shirking. In this specific scenario, how large must this additional employment rent be, relative to the cost of effort (c)?