منابع مشابه
Weighted and roughly weighted simple games
This paper contributes to the program of numerical characterisation and classification of simple games outlined in the classical monograph of von Neumann and Morgenstern [22]. One of the most fundamental questions of this program is what makes a simple game a weighted majority game. The necessary and sufficient conditions that guarantee weightedness were obtained by Elgot [3] and refined by Tay...
متن کاملRoughly Weighted Hierarchical Simple Games
Hierarchical simple games both disjunctive and conjunctive are natural generalizations of simple majority games. They take their origin in the theory of secret sharing. Another important generalization of simple majority games with origin in economics and politics are weighted and roughly weighted majority games. In this paper we characterize roughly weighted hierarchical games identifying wher...
متن کاملOn \({\alpha }\) -roughly weighted games
Gvozdeva, Hemaspaandra, and Slinko (2011) have introduced three hierarchies for simple games in order to measure the distance of a given simple game to the class of (roughly) weighted voting games. Their third class Cα consists of all simple games permitting a weighted representation such that each winning coalition has a weight of at least 1 and each losing coalition a weight of at most α. For...
متن کاملOn $α$-roughly weighted games
Gvozdeva, Hemaspaandra, and Slinko (2011) have introduced three hierarchies for simple games in order to measure the distance of a given simple game to the class of (roughly) weighted voting games. Their third class Cα consists of all simple games permitting a weighted representation such that each winning coalition has a weight of at least 1 and each losing coalition a weight of at most α. For...
متن کاملFuzzy transferable-utility games: a weighted allocation and related results
By considering the supreme-utilities among fuzzy sets and the weights among participants simultaneously, we introduce the supreme-weighted value on fuzzy transferable-utility games. Further, we provide some equivalent relations to characterize the family of all solutions that admit a potential on weights. We also propose the dividend approach to provide alternative viewpoint for the potential a...
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ژورنال
عنوان ژورنال: SSRN Electronic Journal
سال: 2009
ISSN: 1556-5068
DOI: 10.2139/ssrn.1529223