有向网络门功率测度的博弈论基础

IF 0.6 Q4 ECONOMICS

Games Pub Date : 2023-09-26 DOI:10.3390/g14050064

Robert P. Gilles, Lina Mallozzi

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引用次数: 0

摘要

对于具有可转移效用的合作博弈，我们引入了一种基于gate值的网络中心性度量。一个有向网络被解释为代表玩家之间的控制或权力关系——构成一个层次网络。嵌入在分层网络中的权力分布可以通过适当的tu -博弈来表示。我们研究了这些tu -表示的性质，并研究了tu -表示的门特值，从而产生门特功率度量。我们确定了门特测度何时为核心功率测度，研究了门特测度与β测度的关系，并构造了门特测度的公理化。

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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Game Theoretic Foundations of the Gately Power Measure for Directed Networks

We introduce a new network centrality measure founded on the Gately value for cooperative games with transferable utilities. A directed network is interpreted as representing control or authority relations between players—constituting a hierarchical network. The power distribution embedded within a hierarchical network can be represented through appropriate TU-games. We investigate the properties of these TU-representations and investigate the Gately value of the TU-representation resulting in the Gately power measure. We establish when the Gately measure is a core power gauge, investigate the relationship of the Gately with the β-measure, and construct an axiomatisation of the Gately measure.

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来源期刊

Games Decision Sciences-Statistics, Probability and Uncertainty

CiteScore

1.60

自引率

11.10%

发文量

审稿时长

11 weeks

期刊介绍： Games (ISSN 2073-4336) is an international, peer-reviewed, quick-refereeing open access journal (free for readers), which provides an advanced forum for studies related to strategic interaction, game theory and its applications, and decision making. The aim is to provide an interdisciplinary forum for all behavioral sciences and related fields, including economics, psychology, political science, mathematics, computer science, and biology (including animal behavior). To guarantee a rapid refereeing and editorial process, Games follows standard publication practices in the natural sciences.