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Using the multilinear extension to study some probabilistic power indices
(2017-05-01)
Article.
Accés obert
Article.
Accés obert
We consider binary voting systems modeled by a simple game, in which voters vote independently of each other, and the probability distribution over coalitions is known. The Owen’s multilinear extension of the simple game ...
An axiomatic characterization of the potential decisiveness index
(2015-03-01)
Article.
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Article.
Accés obert
Let us consider that somebody is extremely interested in increasing the probability of a proposal to be approved by a certain committee and that to achieve this goal he/she is prepared to pay off one member of the committee. ...
On ordinal equivalence of the Shapley and Banzhaf values for cooperative games
(2010-09)
Article.
Accés restringit per decisió de l'autor
Article.
Accés restringit per decisió de l'autor
In this paper I consider the ordinal equivalence of the Shapley and Banzhaf values
for TU cooperative games, i.e., cooperative games for which the preorderings on the
set of players induced by these two values coincide. ...
Reconstructing a simple game from a uniparametric family of allocations
(Springer, 2013-10-01)
Article.
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Article.
Accés restringit per política de l'editorial
Several relationships between simple games and a particular type of solu-
tions for cooperative games are studied in this paper. These solutions belong to the
set of semivalues and they are related to a unique parameter ...
Separability by semivalues modified for games with coalition structure
(2009-06)
Article.
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Article.
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Two games are inseparable by semivalues if both games obtain the same allocation whatever semivalue is considered. The problem of separability by semivalues reduces to separability from the null game. For four or more ...
On the enumeration of bipartite simple games
(2021-07-15)
Article.
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Article.
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This paper provides a classification of all monotonic bipartite simple games. The problem we deal with is very versatile since simple games are inequivalent monotonic Boolean functions, functions that are used in many ...
Influence decision models: from cooperative game theory to social network analysis
(Elsevier, 2021-02)
Article.
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Article.
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Cooperative game theory considers simple games and influence games as essential classes of games. A simple game can be viewed as a model of voting systems in which a single alternative, such as a bill or an amendment, is ...
Unranking algorithms for combinatorial structures
(2015-12)
Article.
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Article.
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We present an implementation of some unlabeled and labeled unranking algorithms for the open-source algebraic combinatorics package MUPAD-COMBINAT of the computer algebra system MUPAD. We have compared our implementation ...
On the complexity of exchanging
(2016-02-04)
Article.
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Article.
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We analyze the computational complexity of the problem of deciding whether, for a given simple game, there exists the possibility of rearranging the participants in a set of j given losing coalitions into a set of j winning ...
Measuring satisfaction and power in influence based decision systems
(2019-06-15)
Article.
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Article.
Accés obert
We introduce collective decision-making models associated with influence spread under the linear threshold model in social networks. We define the oblivious and the non-oblivious influence models. We also introduce the ...