相互依赖、平衡的贡献和优先级值

IF 1.1 4区数学 Q4 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Journal of Combinatorial Optimization Pub Date : 2025-07-31 DOI:10.1007/s10878-025-01340-0

Songtao He, Erfang Shan, Yuxin Sun

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引用次数: 0

摘要

优先级值（bsamal et al. in Int J Game Theory 51:43 31 - 450, 2022）是具有优先级结构的tu -博弈的分配规则，它将每个联盟的Harsanyi红利分配给其优先级参与者集合。本文提出了具有优先结构的tu -对策中相互依赖参与人微分边际性公理的两个变体，并将经典的平衡贡献公理推广到具有优先结构的tu -对策中。我们提出了几个新的优先级值的特征，这些特征调用了这些改进的公理和标准公理：效率、空玩家属性、优先玩家出局和空玩家出局。

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Mutually dependent, balanced contributions, and the priority value

The Priority value (Béal et al. in Int J Game Theory 51:431–450, 2022) is an allocation rule for TU-games with a priority structure, which distributes the Harsanyi dividend of each coalition among the set of its priority players. In this paper we propose two variants of the differential marginality of mutually dependent players axiom for TU-games with a priority structure, and extend the classical axiom of balanced contributions to TU-games with a priority structure. We provide several new characterizations of the Priority value which invoke these modified axioms and the standard axioms: efficiency, the null player property, the priority player out and the null player out.

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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.