Describe in detail the generalization of the gale-shapley, Basic Statistics

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Describe in detail the generalization of the gale-shapley

Suppose that the matching problem is to match nm men to nw women, where nw

(a) Describe in detail the generalization of the Gale-Shapley algorithm for this case. Prove that the algorithm terminates with a stable matching.

(b) What is the maximal number of stages in the men's courtship algorithm?

(c) Construct an example where n_m > n_w such that the men's courtship algorithm runs through the maximal number of stages.

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Basic Statistics: Describe in detail the generalization of the gale-shapley

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Basic Statistics: Describe in detail the generalization of the gale-shapley

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