Harsanyi Extensions and the Cores of Almost Positive Games Full article
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Doklady Mathematics
ISSN: 1064-5624 , E-ISSN: 1531-8362 |
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| Output data | Year: 2025, Volume: 112, Number: 1, Pages: S73–S79 Pages count : DOI: 10.1134/S1064562425601076 | ||
| Tags | fuzzy cooperative game, Harsanyi extension, superdifferential, core of a fuzzy cooperative game, H-allocation | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0019 |
Abstract:
In the paper, we introduce and study the so-called Harsanyi extensions of finite TU cooperative games. A complete description of the cores for the Harsanyi extensions of almost positive games is obtained by applying sub-differential calculus. For each such a game, we establish that any standard core imputation is represented as a unique unblockable payoff of an appropriate Harsanyi extension of the game under consideration.
Cite:
Vasil’ev V.A.
Harsanyi Extensions and the Cores of Almost Positive Games
Doklady Mathematics. 2025. V.112. N1. P.S73–S79. DOI: 10.1134/S1064562425601076 WOS Scopus OpenAlex
Harsanyi Extensions and the Cores of Almost Positive Games
Doklady Mathematics. 2025. V.112. N1. P.S73–S79. DOI: 10.1134/S1064562425601076 WOS Scopus OpenAlex
Original:
Васильев В.А.
Расширения Харшаньи и ядра почти положительных игр
Математическая теория игр и ее приложения. 2025. Т.17. №1. С.3-20. РИНЦ
Расширения Харшаньи и ядра почти положительных игр
Математическая теория игр и ее приложения. 2025. Т.17. №1. С.3-20. РИНЦ
Dates:
| Submitted: | Nov 21, 2025 |
| Accepted: | Dec 26, 2025 |
| Published print: | Apr 16, 2026 |
| Published online: | Apr 16, 2026 |
Identifiers:
| ≡ Web of science: | WOS:001742045100008 |
| ≡ Scopus: | 2-s2.0-105035909383 |
| ≡ OpenAlex: | W7154562788 |