The center value: A sharing rule for ...
Document type :
Article dans une revue scientifique
Title :
The center value: A sharing rule for cooperative games on acyclic graphs
Author(s) :
Journal title :
Mathematical Social Sciences
Pages :
1-13
Publisher :
Elsevier
Publication date :
2020-05
ISSN :
0165-4896
English keyword(s) :
game theory
cooperative games
graphs
associated consistency
centrality measures
cooperative games
graphs
associated consistency
centrality measures
HAL domain(s) :
Informatique [cs]/Informatique et théorie des jeux [cs.GT]
Sciences de l'Homme et Société/Economies et finances
Sciences de l'Homme et Société/Economies et finances
English abstract : [en]
A cooperative game with transferable utility is a situation in which players can generate worth by cooperating and obtain a certain payoff via a sharing rule. In this paper we assume that the cooperation between players ...
Show more >A cooperative game with transferable utility is a situation in which players can generate worth by cooperating and obtain a certain payoff via a sharing rule. In this paper we assume that the cooperation between players is restricted by an acyclic graph. We introduce a new sharing rule for this type of game. We also offer an axiomatization of this sharing rule, based mainly on linearity and a consistency axiom. For unanimity games, this sharing rule identifies the center of the graph.Show less >
Show more >A cooperative game with transferable utility is a situation in which players can generate worth by cooperating and obtain a certain payoff via a sharing rule. In this paper we assume that the cooperation between players is restricted by an acyclic graph. We introduce a new sharing rule for this type of game. We also offer an axiomatization of this sharing rule, based mainly on linearity and a consistency axiom. For unanimity games, this sharing rule identifies the center of the graph.Show less >
Language :
Anglais
Peer reviewed article :
Oui
Audience :
Internationale
Popular science :
Non
Collections :
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