Two families of values for global cooperative games

IF 1.2 3区经济学 Q3 ECONOMICS

Economic Theory Pub Date : 2024-04-03 DOI:10.1007/s00199-024-01567-8

J. M. Alonso-Meijide, M. Álvarez-Mozos, M. G. Fiestras-Janeiro, A. Jiménez-Losada

引用次数: 0

Abstract

A global (cooperative) game describes the utility that the whole set of players generates depending on the coalition structure they form. These games were introduced by Gilboa and Lehrer (Int J Game Theory 20:129–147, 1991) who proposed and characterized a generalization of the Shapley value. We introduce two families of point valued solutions that contain the Gilboa–Lehrer value. We characterize each family by means of reasonable properties, which are related to the ones used by Gilboa and Lehrer.

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全球合作博弈的两个数值系列

全局（合作）博弈描述的是整组博弈者根据其组成的联盟结构所产生的效用。这些博弈是由 Gilboa 和 Lehrer（《国际博弈论》20:129-147，1991 年）提出的，他们提出并描述了 Shapley 值的一般化。我们介绍了包含 Gilboa-Lehrer 值的两个点值解系。我们通过合理的属性来描述每个族的特征，这些属性与 Gilboa 和 Lehrer 使用的属性相关。

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

Economic Theory ECONOMICS-

CiteScore

2.50

自引率

23.10%

发文量

期刊介绍： The purpose of Economic Theory is to provide an outlet for research - in all areas of economics based on rigorous theoretical reasoning, and - on specific topics in mathematics which is motivated by the analysis of economic problems. Economic Theory''s scope encompasses - but is not limited to - the following fields. - classical and modern equilibrium theory - cooperative and non-cooperative game theory - macroeconomics - social choice and welfare - uncertainty and information, intertemporal economics (including dynamical systems) - public economics - international and developmental economics - financial economics, money and banking - industrial organization Economic Theory also publishes surveys if they clearly picture the basic ideas at work in some areas, the essential technical apparatus which is used and the central questions which remain open. The development of a productive dialectic between stylized facts and abstract formulations requires that economic relevance be at the forefront. Thus, correct, and innovative, mathematical analysis is not enough; it must be motivated by - and contribute to - the understanding of substantive economic problems. Officially cited as: Econ Theory