Results 31 to 40 of about 114 (83)
A circuit set characterization of antimatroids
Antimatroids generalize the notion of convexity in much the same way as matroids generalize the notion of linear dependence. Definitions and examples of antimatroids are presented. Rooted circuits of antimatroids are defined, and a new characterization of antimatroids is given.
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A Value for Games Restricted by Augmenting Systems [PDF]
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.
Bilbao Arrese, Jesús Mario +7 more
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Poly-Dimension of Antimatroids
A partial cube is a graph that can be isometrically embedded into a hypercube. In other words, a partial cube is a subgraph of a hypercube that preserves distances the distance between any two vertices in the subgraph is the same as the distance between those vertices in the hypercube.
Yulia Kempner, Vadim E.
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Countable ultrahomogeneous antimatroids of convex dimension 2 [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The 2-Shapley value for bicooperative games
In this paper, we propose a new Shapley-type value (the 2-Shapley value) for bico- operative games. Unlike classical cooperative games, bicooperative games assign values to pairs of disjoint coalitions (bicoalitions) representing players who support ...
Basallote Galván, Manuela +2 more
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Two Characterizations of Antimatroids
Abstract NextClosure algorithm is a fast and good algorithm in formal concept analysis. With the assistance of NextClosure algorithm, this article provides a characterization of antimatroids. Additionally, this article introduces a characterization of k- truncated antimatroids.
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Axiomatizations of the Shapley Value for Cooperative Games on Antimatroids [PDF]
AMS classification: 91A12;cooperative games;antimatroid;permission structure;Shapley ...
Algaba, A. +3 more
core
Antimatroids and oracle complexity
Antimatroids are a new and growing area of mathematics. They arise out of matroids and greedoids, and have a rich structure of their own, as is most naturally seen when considering convex closure in Euclidean space.
Enright, Jamas
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