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Matematicheskaya Teoriya Igr i Ee Prilozheniya, 2024, Volume 16, Issue 2, Pages 29–44
(Mi mgta346)
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On integer imputations of the core of totally balanced cooperative games
Vladimir V. Morozov, Saryal I. Romanov Moscow State University
Abstract:
We consider totally balanced cooperative games in which the characteristic function takes integer values. It has been proven that any three- and four-person game has an integer imputation from the core. A similar result, with the exception of one degenerated case, was obtained for five-person game. The method of construction of mentioned integer imputation is indicated. An example of a five-person game is given in which the core consists of a single non-integer imputation.
Keywords:
totally balanced cooperative game, core of a cooperative game, balanced collection, characteristic function with integer values, integer imputation.
Received: 31.01.2024 Revised: 22.04.2024 Accepted: 10.06.2024
Citation:
Vladimir V. Morozov, Saryal I. Romanov, “On integer imputations of the core of totally balanced cooperative games”, Mat. Teor. Igr Pril., 16:2 (2024), 29–44
Linking options:
https://www.mathnet.ru/eng/mgta346 https://www.mathnet.ru/eng/mgta/v16/i2/p29
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Abstract page: | 32 | Full-text PDF : | 13 | References: | 13 |
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