Cores and related solution concepts for multi-choice games

Cores and related solution concepts for multi-choice games
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DOI:
10.1007/bf01432361
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发表时间:
1995-10
期刊:
Zeitschrift für Operations Research
影响因子:
--
通讯作者:
A. Nouweland;S. Tijs;J. Potters;J. Zarzuelo
A. Nouweland;S. Tijs;J. Potters;J. Zarzuelo
中科院分区:
其他
文献类型:
--
作者:
A. Nouweland;S. Tijs;J. Potters;J. Zarzuelo

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多选择游戏是合作游戏的一种推广,其中每个玩家都有几个活动水平。合作对策是多选择对策的一个子类,本文将合作对策的一些解的概念推广到多选择对策。特别是,扩展了核心、支配核心和韦伯集的概念。核心与优势核心、核心与韦伯集之间的关系得到了广泛的研究。引入了一类流对策,研究了它与非空核非负对策的关系。
A multi-choice game is a generalization of a cooperative game in which each player has several activity levels. Cooperative games form a subclass of the class of multi-choice games.This paper extends some solution concepts for cooperative games to multi-choice games. In particular, the notions of core, dominance core and Weber set are extended. Relations between cores and dominance cores and between cores and Weber sets are extensively studied. A class of flow games is introduced and relations with non-negative games with non-empty cores are investigated.