Consider a variant of the benchmark model of adverse selection. The types of workers (θ) are uniformly drawn from the unit interval [0,1]. A θ-type worker can produce θ units of some product if he is hired by firms. (Workers are the only input in the production.) The price of the product is normalised as 1. Before entering the labor market, workers decide whether to secure some certificate at a cost c ∈ (0, 1) or not. The certificate can fully reveal a worker’s type and he then decides whether to show it to firms or not. If a θ-type worker decides to quit the labor market, he can earn θ/4 from self-employment. Find the competitive equilibrium. (Hint, if a θ-type worker obtains the certificate and shows it to firms, he will receive a wage of θ from the market. For sure, he can also decide to join the labor market without obtaining or showing the certificate.)
Consider a variant of the benchmark model of adverse selection. The types of workers (θ) are uniformly drawn from the unit interval [0,1]. A θ-type worker can produce θ units of some product if he is hired by firms. (Workers are the only input in the production.) The price of the product is normalised as 1. Before entering the labor market, workers decide whether to secure some certificate at a cost c ∈ (0, 1) or not. The certificate can fully reveal a worker’s type and he then decides whether to show it to firms or not. If a θ-type worker decides to quit the labor market, he can earn θ/4 from self-employment. Find the competitive equilibrium. (Hint, if a θ-type worker obtains the certificate and shows it to firms, he will receive a wage of θ from the market. For sure, he can also decide to join the labor market without obtaining or showing the certificate.)
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