Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
We understand a solution of a cooperative TU-game as the α-prenucleoli set, α ∈ R, which is a generalization of the notion of the [0, 1]-prenucleolus. We show that the set of all α-nucleoli takes into account the constructive power with the weight α and the blocking power with the weight (1 − α) for all possible values of the parameter α. The further generalization of the solution by introducing two independent parameters makes no sense. We prove that the set of all α-prenucleoli satisfies properties of duality and independence with respect to the excess arrangement. For the considered solution we extend the covariance propertywith respect to strategically equivalent transformations.
Язык оригинала | английский |
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Страницы (с-по) | 63-74 |
Число страниц | 12 |
Журнал | Russian Mathematics |
Том | 60 |
Номер выпуска | 6 |
DOI | |
Состояние | Опубликовано - 1 июн 2016 |
ID: 9659089