A stable roommate problem with 4 students a, b, c, d is defined as follows. Each student ranks the other three in strict order o

Question

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A stable roommate problem with 4 students a, b, c, d is defined as follows. Each student ranks the other three in strict order o

f preference. A matching is defined as the separation of the students into two disjoint pairs. A matching is stable if no two separated students prefer each other to their current roommates. Does a stable matching always exist

Mathematics

1 answer:

Fantom [35] · Answer 1 · 2022-05-22T01:58:57+03:00

Answer:

Each student ranks the other three in strict order of preference.

Step-by-step explanation:

When 4 different students from different background and personality lives together, there seems to be a room for the problems and stability between them. When the problem of stability arises, it would be as a result of the other 3 students ranking each other in strict order of preference regarding to their relationship and association.