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Unformatted text preview: 2. Decide whether you think the following statement is true or false. If true, give a short explanation. If false, give a counter-example. “Consider an instance of the Stable Matching Problem in which there exists a man m and a woman w such that m is ranked first by w, and w is ranked first by m. Then (m,w) must appear in every stable matching.” Solution: True. Suppose S is a stable matching that contains the pairs (m, w0) and (m0, w), for some m0, w0. However, clearly, (m, w) forms an instability pair, contradicting the stability of S....
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This note was uploaded on 01/22/2010 for the course CSCI 570 taught by Professor Shamsian during the Fall '06 term at USC.
- Fall '06