A Value for Games Restricted by Augmenting Systems
نویسندگان
چکیده
منابع مشابه
A Value for Games Restricted by Augmenting Systems
This paper deals with cooperative games in which only certain coalitions are allowed to form. There have been previous models developed to confront the problem of nonfeasible coalitions. Games restricted by a communication graph are games in which the feasible coalitions are those that induce connected subgraphs. Another type of model is determined by the positions of the players in a so-called...
متن کاملAxiomatizations of the Shapley value for games on augmenting systems
Article history: Received 31 October 2007 Accepted 24 April 2008 Available online 4 May 2008
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The goal of this paper is to develop a theoretical framework in order to analyze cooperative games in which only certain coalitions are allowed to form. We will axiomatize the structure of such allowable coalitions using the theory of antimatroids, a notion developed to combinatorially abstract sets. There have been previous models developed to confront the problem of unallowable coalitions. Ga...
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A general construction of models of call-by-value from models of call-by-name computation is described. The construction makes essential use of the properties of sum types in common denotational models of call-by-name. When applied to categories of games, it yields fully abstract models of the call-by-value functional language PCFv, which can be extended to incorporate recursive types, and of a...
متن کاملThe core and Shapley function for games on augmenting systems with a coalition structure
In this paper, we first introduce the model of games on augmenting systems with a coalition structure, which can be seen as an extension of games on augmenting systems. The core of games on augmenting systems with a coalition structure is defined, and an equivalent form is discussed. Meantime, the Shapley function for this type of games is given, and two axiomatic systems of the given Shapley f...
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ژورنال
عنوان ژورنال: SIAM Journal on Discrete Mathematics
سال: 2010
ISSN: 0895-4801,1095-7146
DOI: 10.1137/080719170