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Consider the two following stable matches for a population comprising of 4 women and 4 men

by | Jun 16, 2022 | Set Theory | 0 comments

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4. Consider the two following stable matches for a population comprising
of 4 women and 4 men:
SM1: Eyal-Ayala Dany-Dina Rammy-Rina Tamir-Tami
SM2: Eyal-Tami Dany-Rina Rammy-Ayala Tamir-Dina
Required:
1. Present a table of preferences such that these are the only stable
matches (Explain)
2. Present a table of preferences such that there exists another SM which is
weakly preferred to these by the each of the group of Men (Explain)
3. Present a table of preferences, for which SM1 is the man optimal stable
match and if one of the women cheats then SM2 is the man optimal
stable match. (Explain)

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