Consider a third pricing scheme that the union in Solved Problem 12.2 might use. It sets a wage, , and lets the firms hire as many workers as they want (that is, the union does not set a minimum number of hours), but requires a lump-sum contribution to each worker’s retirement fund. What is such a pricing scheme called? Can the union achieve the same outcome as it would if it perfectly price discriminated? (Hint: It could set the wage where the supply curve hits the demand curve.) Does your answer depend on whether the union workers are identical?

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Chapter4: Markets In Action
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Consider a third pricing scheme that the union in Solved Problem 12.2 might use. It sets a wage, , and lets the firms hire as many workers as they want (that is, the union does not set a minimum number of hours), but requires a lump-sum contribution to each worker’s retirement fund. What is such a pricing scheme called? Can the union achieve the same outcome as it would if it perfectly price discriminated? (Hint: It could set the wage where the supply curve hits the demand curve.) Does your answer depend on whether the union workers are identical?

Solved Problem 12.2

Competitive firms are the customers of a union, which is the monopoly supplier of labor services. Show the union’s “producer surplus” if it perfectly price discriminates. Then suppose that the union makes the firms a take-it-or-leave-it offer: They must guarantee to hire a minimum of hours of work at a wage of , or they can hire no one. Show that by setting  appropriately, the union can achieve the same outcome as if it could perfectly price discriminate.

 

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