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Calculating the Minimum Wage to Prevent Shirking

A firm is hiring a worker. The worker experiences a 'cost of effort' equivalent to $3 per hour when working diligently. If the worker is caught shirking, they are fired and will receive an unemployment benefit valued at $8 per hour. The firm's monitoring system has a 25% probability of catching a shirking worker in any given hour. What is the minimum hourly wage the firm must pay to ensure the worker chooses to work diligently? (Assume the worker will not shirk if the payoff from working is equal to the expected payoff from shirking).

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Updated 2025-09-19

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