Prove the given claims or provide counterexamples

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Suppose that the number of men equals the number of women. Prove the following claims, or provide counterexamples:

(a) For every pair of matchings there exist preference relations for which these are two stable matchings.

(b) For every three matchings there exist preference relations for which these are three stable matchings.

(c) For every four matchings there exist preference relations for which these are four stable matchings.

Reference no: EM131333690

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