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The research of Soviet scientists within the field of game theory has resulted in many high-level publications. This book aims to report about the research by Russian game theorists during the two decades 1968 - 1988 to the international readership. It contains a collection of contributions in...
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In the framework of values for TU-games, it is shown that a particular type of consistency, called linear consistency, together with some kind of standardness for two-person games, imply efficiency, anonymity, linearity, as well as uniqueness of the value. Among others, this uniform treatment...
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The study of 1-convex/1-concave TU games possessing a nonempty core and for which the nucleolus is linear was initiated by Driessen and Tijs (Methods Oper. Res. 46:395–406, <CitationRef CitationID="CR2">1983</CitationRef>) and Driessen (OR Spectrum 7:19–26, <CitationRef CitationID="CR1">1985</CitationRef>). However, until recently appealing abstract and practical examples of...</citationref></citationref>
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In this paper we study a family of efficient, symmetric and linear values for TU-games, described by some formula generalizing the Shapley value. These values appear to have surprising properties described in terms of the axioms: Fair treatment, monotonicity and two types of acceptability. The...
Persistent link: https://www.econbiz.de/10010875104
The family of weighted Banzhaf values for cooperativen-person TU-games is studied. First we introduce the weighted Banzhaf value for an exogenously given vector of positive weights of the players. Then we give an axiomatic characterization of the class of all possible weighted Banzhaf values....
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