Scientific publications

В.А. Васильев.

Расширения Харшаньи и ядра почти положительных игр

// Математическая Теория Игр и ее Приложения, т. 17, в. 1. 2025. C. 3-20

Valery A. Vasil'ev. Harsanyi extensions and the cores of almost positive games // Mathematical game theory and applications. Vol 17. No 1. 2025. Pp. 3-20

Keywords: fuzzy cooperative game, Harsanyi extension, superdifferential, core of a fuzzy game, H-allocation

In the paper, we introduce and study so-called Harsanyi extensions of the finite TU cooperative games. By applying sub-differential calculus we obtain complete description of the cores for the Harasanyi extensions of the almost positive games. For each such a game, realizability of any standard core-imputation as the unique un-blockable payoff of an appropriate Harsanyi extension of the game under consideration is established.

Indexed at RSCI, RSCI (WS)

vol17_1_03-20_vasilev.pdf (440 Kb, total downloads: 1)

Last modified: August 22, 2025