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If the stable roommates problem instance has a stable matching, then there is a stable matching contained in any one of the stable tables. Any stable subtable of a stable table, and in particular any stable subtable that specifies a stable matching as in 2, can be obtained by a sequence of rotation eliminations on the stable table.
Hedonic games with preferences based on the worst player behave very similarly to stable roommates problems with respect to the core, [10] but there are hardness results for other solution concepts. [13] Many of the preceding hardness results can be explained through meta-theorems about extending preferences over single players to coalitions. [23]
The stable roommates problem is similar to the stable marriage problem, ... Envy-free matching – a relaxation of stable matching for many-to-one matching problems;
Her shelf is always hair-free and pristine. I’m done asking, just collected every hair she left on my stuff and put in on top of her products. ... Roommate moved out before we did and left a ...
A stable matching always exists, and the algorithmic problem solved by the Gale–Shapley algorithm is to find one. [3] The stable matching problem has also been called the stable marriage problem, using a metaphor of marriage between men and women, and many sources describe the Gale–Shapley algorithm in terms of marriage proposals. However ...
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