Title :

The center value: A sharing rule for cooperative games on acyclic graphs

Author(s) :

Navarro, Florian [Auteur]
Lille économie management - UMR 9221 [LEM]

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

HAL domain(s) :

Informatique [cs]/Informatique et théorie des jeux [cs.GT]
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 >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Collections :

• Lille Économie Management (LEM) - UMR 9221

Source :

Harvested from HAL