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Cost-allocation problems for fuzzy agents in a fixed-tree network
(Springer, 2022)
Cost-allocation problems in a fixed network are concerned with distributing the costs for use by a group of clients who cooperate in order to reduce such costs. We work only with tree networks and we assume that a minimum ...
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The power of an elector in the Spanish parliament: A study compared with power indices
(SAGE, 2022-01-20)
The main goal of this article is to study, from a game theory perspective, the composition of the Spanish Parliament according to Article 68 of the Spanish Constitution, although the proposed model is applicable to the ...
Artículo
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Comments on: Games with a permission structure - A survey on generalizations and applications 2
(Sociedad Española de Estadística e Investigación Operativa, 2017)
In the field of cooperative games with restricted cooperation, various restrictions on coalition formation are studied. The most studied restrictions are those that arise from restricted communication and hierarchies. ...
Artículo
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A real Shapley value for cooperative games with fuzzy characteristic function
(Elsevier, 2021-04)
There are cooperative situations in which the players have only imprecise expectations about the profit that can be obtained by each coalition. In order to model these situations, several families of games have been ...
Artículo
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Soft cooperation systems and games
(Taylor and Francis, 2018-04)
A cooperative game for a set of agents establishes a fair allocation of the profit obtained for their cooperation. In order to obtain this allocation, a characteristic function is known. It establishes the profit of each ...
Artículo
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A characterization of the Shapley value for cooperative games with fuzzy characteristic function
(Elsevier, 2020-11)
The characteristic function of a cooperative game determines the payment that each coalition can obtain when the players in the coalition cooperate. But there are cooperative situations in which the players have only ...
Artículo
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A Symmetric Banzhaf Cooperation Value for Games with a Proximity Relation among the Agents
(MDPI, 2020)
A cooperative game represents a situation in which a set of agents form coalitions in order to achieve a common good. To allocate the benefits of the result of this cooperation there exist several values such as the Shapley ...
Artículo
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Games with fuzzy authorization structure: a Shapley value
(Elsevier, 2015-08)
A cooperative game consists of a set of players and a characteristic function which determines the maximal gain or minimal cost that every subset of players can achieve when they decide to cooperate, regardless of the ...
Artículo
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A Shapley measure of power in hierarchies
(Elsevier, 2016-12)
A method for measuring positional power in hierarchies is proposed. Inspired by models of cooperative TU-games with restricted cooperation, such as permission structures, we model hierarchies by means of a certain kind of ...
Artículo
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A Shapley distance in graphs
(Elsevier, 2018-03)
A new distance in finite graphs is defined through a game-theoretic approach. This distance arises when solving the problem about the fair cost, for a node in a graph, of attaining access to another node. The distance ...