Relaxations of sign symmetry and the weighted solidarity values

IF 0.8 4区管理学 Q4 OPERATIONS RESEARCH & MANAGEMENT SCIENCE

Operations Research Letters Pub Date : 2024-07-25 DOI:10.1016/j.orl.2024.107147

Wenzhong Li , Genjiu Xu , Panfei Sun

引用次数: 0

Abstract

In this paper, we define and study the class of weighted solidarity values. First, we show that the weighted solidarity values are determined by an underlying procedure of sharing marginal contribution. Then, we propose two relaxations of sign symmetry, called sign symmetry for team mates and weak sign symmetry for team mates, that together with efficiency, additivity, and the A-null player property characterize the classes of positively weighted solidarity values and weighted solidarity values, respectively.

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放宽符号对称性和加权团结值

本文对加权团结值进行了定义和研究。首先，我们证明加权团结值是由分享边际贡献的基本程序决定的。然后，我们提出了两种符号对称性的松弛，分别称为队友符号对称性和弱队友符号对称性，它们与效率、可加性和 A-null 玩家属性一起，分别表征了正加权团结值和加权团结值的类别。

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

Operations Research Letters 管理科学-运筹学与管理科学

CiteScore

2.10

自引率

9.10%

发文量

111

审稿时长

83 days

期刊介绍： Operations Research Letters is committed to the rapid review and fast publication of short articles on all aspects of operations research and analytics. Apart from a limitation to eight journal pages, quality, originality, relevance and clarity are the only criteria for selecting the papers to be published. ORL covers the broad field of optimization, stochastic models and game theory. Specific areas of interest include networks, routing, location, queueing, scheduling, inventory, reliability, and financial engineering. We wish to explore interfaces with other fields such as life sciences and health care, artificial intelligence and machine learning, energy distribution, and computational social sciences and humanities. Our traditional strength is in methodology, including theory, modelling, algorithms and computational studies. We also welcome novel applications and concise literature reviews.