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The generalized matching law accounts for high proportions of the variance in most experiments on concurrent variable interval schedules in non-humans. Values of b often depend on details of the experiment set up, but values of s are consistently found to be around 0.8, whereas the value required for strict matching would be 1.0.
The matching is stable if there are no two elements which are not roommates and which both prefer each other to their roommate under the matching. This is distinct from the stable-marriage problem in that the stable-roommates problem allows matches between any two elements, not just between classes of "men" and "women".
A matching is called weakly stable unless there is a couple each of whom strictly prefers the other to his/her partner in the matching. Robert W. Irving [ 1 ] extended the Gale–Shapley algorithm as shown below to provide such a weakly stable matching in O ( n 2 ) {\displaystyle O(n^{2})} time, where n is the size of the stable marriage problem.
In mathematics, economics, and computer science, the stable marriage problem (also stable matching problem) is the problem of finding a stable matching between two equally sized sets of elements given an ordering of preferences for each element. A matching is a bijection from the elements
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 ...
Strict might not be the right word when you look at other factors involved, either. That plague of parents who are scared to let their kids cross the street? More practical than harsh.
The lattice of stable matchings is based on the following weaker structure, a partially ordered set whose elements are the stable matchings. Define a comparison operation on the stable matchings, where if and only if all doctors prefer matching to matching : either they have the same assigned hospital in both matchings, or they are assigned a better hospital in than they are in .
The vast majority of people whose call records have been stolen by Chinese hackers have not been notified, according to industry sources, and there is no indication that most affected people will ...