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Article

Решения кооперативных игр, промежуточные между k-ядром и n-ядром

Кацев И. В., Яновская Е. Б.

A collection of TU games solutions intermediate between the prekernel and the prenucleolus is considered. All these solutions
are Davis-Maschler consistent, symmetric and covariant. Each solution from the collection is parametrized by a positive integer k such that for all games with the number of players not greater than k, the solution for parameter k coincides
with the prenucleolus, and for games with more than k players it is maximal, i.e. it satisfies the "k-converse consistency". The properties of solutions are described and their characterization in terms of balancedness is given.