(Solved):For this problem, we will explore the issue of truthfulness in the Stable Matching Problem and specifically in the Gale-Shapley algorithm. The basic question is: Can a man or a woman end up better… View Answer…

 

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For this problem, we will explore the issue of truthfulness in the Stable Matching Problem and specifically in the Gale-Shapley algorithm. The basic question is: Can a man or a woman end up better off by lying about his or her preferences? More concretely, suppose each participant has a true preference order. Now, consider a woman w. Suppose w prefers man m1 to m2, but both m1 and m2 are

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