Harsanyi Extensions and the Cores of Almost Positive Games

IF 0.8 4区数学 Q3 MATHEMATICS

Doklady Mathematics Pub Date : 2026-04-16 DOI:10.1134/S1064562425601076

V. A. Vasil’ev

引用次数: 0

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.

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Harsanyi扩展和几乎正游戏的核心

本文引入并研究了有限TU合作对策的Harsanyi扩展。应用次微分法得到了几乎正对策的Harsanyi扩展的核的完整描述。对于每一个这样的游戏，我们建立了任何标准核心输入都被表示为考虑中的游戏的适当Harsanyi扩展的唯一不可阻挡的收益。

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 It publishes brief scientific reports on previously unpublished significant new research in mathematics and its applications.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.