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Leontief Associates Has Expanded to Include N Partners

Question 81

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Leontief Associates has expanded to include n partners. Its new technology is B min(e1, e2, , en). The income
of each partner is Y/n. The utility functions are ui = yi - ei2.
i)Describe the Pareto efficient effort levels, the corresponding income levels, and the utility of a typical partner when everyone behaves efficiently.
ii)Suppose the firm is bought by a new owner. Describe an employment contract the new owner would use to get each employee to contribute the efficient effort level.

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i)y = Be/n. The optimal effort level is ...

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