关于生成函数以计算加权多数人博弈的一些功率测量值

IF 4.4 3区管理学 Q1 OPERATIONS RESEARCH & MANAGEMENT SCIENCE

Annals of Operations Research Pub Date : 2024-09-09 DOI:10.1007/s10479-024-06191-2

L. M. Armijos-Toro, J. M. Alonso-Meijide, M. A. Mosquera, A. Saavedra-Nieves

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引用次数: 0

摘要

在本文中，我们介绍了基于生成函数的新程序，用于计算加权多数人博弈的一些力量度量。特别是，我们提出了计算约翰斯顿指数和科洛默-马丁内斯度量的方法。此外，我们还介绍了一种结合了约翰斯顿指数和科洛默-马丁内斯度量基本原理的新权重度量，以及使用生成函数计算该度量的程序。最后，我们介绍了新的 R 软件包 powerindexR，并描述了其通过生成函数计算某些幂级数的功能。我们用一个真实的例子来说明它的性能。

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On generating functions to compute some power measures for weighted majority games

In this paper we introduce new procedures, based on generating functions, for calculating some power measures for weighted majority games. In particular, we present methods for computing the Johnston index and the Colomer–Martínez measure. Besides, we introduce a new power measure that combines the principles underlying the Johnston index and Colomer–Martínez measure as well as a procedure for computing it using generating functions. Finally, we introduce the new R package powerindexR and describe its capabilities to compute some power measures by means of generating functions. We illustrate its performance with a real example.

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来源期刊

Annals of Operations Research 管理科学-运筹学与管理科学

CiteScore

7.90

自引率

16.70%

发文量

596

审稿时长

8.4 months

期刊介绍： The Annals of Operations Research publishes peer-reviewed original articles dealing with key aspects of operations research, including theory, practice, and computation. The journal publishes full-length research articles, short notes, expositions and surveys, reports on computational studies, and case studies that present new and innovative practical applications. In addition to regular issues, the journal publishes periodic special volumes that focus on defined fields of operations research, ranging from the highly theoretical to the algorithmic and the applied. These volumes have one or more Guest Editors who are responsible for collecting the papers and overseeing the refereeing process.