On Integer Imputations of the Core of Totally Balanced Cooperative Games

IF 0.5 4区数学 Q3 MATHEMATICS

Doklady Mathematics Pub Date : 2025-03-28 DOI:10.1134/S1064562424702399

V. V. Morozov, S. I. Romanov

引用次数: 0

Abstract

We consider totally balanced cooperative games in which the characteristic function takes integer values. It is proved that any three- or four-person game has an integer imputation from the core. A similar result, with the exception of one degenerate case, is obtained for five-person games. An example of a five-person game is given in which the core consists of a single noninteger imputation.

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全平衡合作对策核心的整数代入

我们考虑特征函数取整数值的完全平衡合作对策。证明了任何三人或四人对策都有一个从核心的整数输入。对于五人对策，除了一种退化情况外，也得到了类似的结果。给出了一个五人博弈的例子，其中核心由单个非整数输入组成。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Doklady Mathematics 数学-数学

CiteScore

1.00

自引率

16.70%

发文量

审稿时长

3-6 weeks

期刊介绍： Doklady Mathematics is a journal of the Presidium of the Russian Academy of Sciences. It contains English translations of papers published in Doklady Akademii Nauk (Proceedings of the Russian Academy of Sciences), which was founded in 1933 and is published 36 times a year. Doklady Mathematics includes the materials from the following areas: mathematics, mathematical physics, computer science, control theory, and computers. It publishes brief scientific reports on previously unpublished significant new research in mathematics and its applications. The main contributors to the journal are Members of the RAS, Corresponding Members of the RAS, and scientists from the former Soviet Union and other foreign countries. Among the contributors are the outstanding Russian mathematicians.