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Leontief Associates Has Expanded to Include N Partners

question 27

Essay

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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Definitions:

Marginal Productivity

The additional output generated by employing one more unit of a particular input, holding other inputs constant.

Diminishing-returns Theory

The principle that says that if one factor of production is increased while others are held constant, the incremental output will eventually decrease.

Wage Disparity

The difference in wages earned by different groups of workers, often arising from factors such as occupation, education, experience, or gender.

Talent and Ability

The natural aptitude or acquired skills possessed by individuals that enable them to perform certain tasks or excel in certain fields.

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