Consider the following preference tables for three universit…

Written by Anonymous on January 16, 2024 in Uncategorized with no comments.

Questions

Cоnsider the fоllоwing preference tаbles for three university hospitаls аnd three medical students.    1st  2nd 3rd DUKE Cam Ada Bea NYU Ada Cam Bea UIUC Cam Bea Ada           1st 2nd 3rd Ada DUKE UIUC NYU Bea UIUC DUKE NYU Cam UIUC NYU DUKE (i) Which of the following is the output of the Gale-Shapley algorithm? [GaleShapley] (ii) Which of the following is a stable matching that assigns each student to their best valid partner?[StudentBestMatching] (iii) Which of the following is an unstable pair with respect to the matching (DUKE-Ada, NYU-Cam, UIUC-Bea)?[UnstablePair] (iv) Which student (if any) can improve his/her/their match in the Gale-Shapley output by lying? [TrickingTheAlgorithm] 

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