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- W161918672 abstract "There are two sets of players, P and Q . Each player of each set has a preference ordering over members of the opposite set. In the ordinal case, this is a strict ordering. In the cardinal case, each player places a real value on each of the opposite set. The analysis centers on stable matchings with utility transfers in the cardinal case—such that no two players are matched may increase their utilities by being matched. In both the cases, the set of stable matchings, or the core of the game, is nonempty, yet although almost all results in one case have analogs in the other, no unified theory encompasses both. In the ordinal case, finding a formula for the maximum number of stable matchings as a function of the number of players of each type has resisted solution. The principal tool used in the proofs of these and allied results is a combinatorial characterization of the extreme points of the dual transportation problem polyhedron in terms of the partitions." @default.
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- W161918672 date "1990-01-01" @default.
- W161918672 modified "2023-09-26" @default.
- W161918672 title "On the Core of the Assignment Game" @default.
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- W161918672 doi "https://doi.org/10.1016/b978-0-12-370182-4.50025-8" @default.
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