Scientific publications

В.В. Морозов, С.И. Романов.

О целочисленных дележах ядра вполне сбалансированных кооперативных игр

// Математическая Теория Игр и ее Приложения, т. 16, в. 2. 2024. C. 29-44

Vladimir V. Morozov, Saryal I. Romanov. On integer imputations of the core of totally balanced cooperative games // Mathematical game theory and applications. Vol 16. No 2. 2024. Pp. 29-44

Keywords: totally balanced cooperative game, core of a cooperative game, balanced collection, characteristic function with integer values, integer imputation.

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.

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Last modified: July 10, 2024