Combinatorial Structures to Construct Simple Games and Molecules
نویسندگان
چکیده
منابع مشابه
Combinatorial Structures to Represent Simple Games
We connect three different topics: combinatorial structures, simple games and influence games. We establish the bases to represent some simple games or some influence games by using combinatorial structures. These considerations are also able to generate any object of any topic based in graphs, for instance, molecules applied to chemistry, among others. Key–Words: Combinatorial Structures, Gene...
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We connect three different topics: combinatorial structures, game theory and chemistry. In particular, we establish the bases to represent some simple games, defined as influence games, and molecules, defined from atoms, by using combinatorial structures. First, we characterize simple games as influence games using influence graphs. It let us to modeling simple games as combinatorial structures...
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In the classical model of cooperative games it is generally assumed that there are no restrictions on cooperation and hence, every subset of players is a feasible coalition. However, in many social and economic situations, this model does not apply. Examples are provided by local public goods which are supplied by local communities, social and sports clubs, labor unions, political parties, and ...
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We address simple voting games (SVGs) as mathematical objects in their own right, and study structures made up of these objects, rather than focusing on SVGs primarily as co-operative games. To this end it is convenient to employ the conceptual framework and language of category theory. This enables us to uncover the underlying unity of the basic operations involving SVGs. Mathematical Structur...
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The intention of this article is to introduce a new structure, that we will call decreasing system , which generalize the well-known convex geometries introduced by (PH Edelman, RE Jamison (1985)). We will introduce these structures through the dualization another known structure, augmenting system (Bilbao, 2003). In this article we axiomatize the Shapley and Banzhaf values on this new structure.
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ژورنال
عنوان ژورنال: International Journal of Theoretical and Applied Mathematics
سال: 2017
ISSN: 2575-5072
DOI: 10.11648/j.ijtam.20170302.16