Complements and Substitutes in the Optimal Assignment Problem

by Lloyd S. Shapley

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A study of the "optimal assignment problem" as a process that depends intricately on several input activities. The complementarity-substitutability relationships between its elements are established, i.e., whether the relationships reinforce or interfere with each other's influence on the process as a whole. It is shown that in a standard interpretation of the problem, man-machine pairs are complementary, while man-man and machine-machine pairs are substitutes.

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