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Matematicheskaya Teoriya Igr i Ee Prilozheniya, 2024, Volume 16, Issue 2, Pages 29–44 (Mi mgta346)  

On integer imputations of the core of totally balanced cooperative games

Vladimir V. Morozov, Saryal I. Romanov

Moscow State University
References:
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
Document Type: Article
UDC: 519.832
BBC: 22.1
Language: Russian
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
Citation in format AMSBIB
\Bibitem{MorRom24}
\by Vladimir~V.~Morozov, Saryal~I.~Romanov
\paper On integer imputations of the core of totally balanced cooperative games
\jour Mat. Teor. Igr Pril.
\yr 2024
\vol 16
\issue 2
\pages 29--44
\mathnet{http://mi.mathnet.ru/mgta346}
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