Pseudo-Shapley value for weak games of threats

IF 1.1 4区数学 Q4 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Journal of Combinatorial Optimization Pub Date : 2025-05-21 DOI:10.1007/s10878-025-01319-x

Daniel Li Li, Erfang Shan

引用次数: 0

Abstract

For a real number \(\omega \), a weak game of threats (N, v) consists of a set N of n players and a function \(v:2^N\rightarrow \mathbb {R}\) such that \(\omega v(\emptyset )+(1-\omega )v(N)=0\), where \(v(\emptyset )\ne 0\) possibly. It is shown that there exists a unique value with respect to \(\omega \) for weak games of threats that satisfies efficiency, linearity, symmetry and the null player property.

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弱威胁博弈的伪沙普利值

对于一个实数\(\omega \)，一个弱博弈威胁（N, v）由N个参与者和一个函数\(v:2^N\rightarrow \mathbb {R}\)组成，使得\(\omega v(\emptyset )+(1-\omega )v(N)=0\)，其中\(v(\emptyset )\ne 0\)可能。证明了对于满足效率、线性、对称和空参与人性质的弱威胁对策，存在一个关于\(\omega \)的唯一值。

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

Journal of Combinatorial Optimization 数学-计算机：跨学科应用

CiteScore

2.00

自引率

10.00%

发文量

审稿时长

6 months

期刊介绍： The objective of Journal of Combinatorial Optimization is to advance and promote the theory and applications of combinatorial optimization, which is an area of research at the intersection of applied mathematics, computer science, and operations research and which overlaps with many other areas such as computation complexity, computational biology, VLSI design, communication networks, and management science. It includes complexity analysis and algorithm design for combinatorial optimization problems, numerical experiments and problem discovery with applications in science and engineering. The Journal of Combinatorial Optimization publishes refereed papers dealing with all theoretical, computational and applied aspects of combinatorial optimization. It also publishes reviews of appropriate books and special issues of journals.