Necessary players, Myerson fairness and ...
Document type :
Compte-rendu et recension critique d'ouvrage
Title :
Necessary players, Myerson fairness and the equal treatment of equals
Author(s) :
Journal title :
Annals of Operations Research
Pages :
111-119
Publisher :
Springer Verlag
Publication date :
2019
ISSN :
0254-5330
English keyword(s) :
Game theory
Myerson value
Fairness
Graph
Cooperative games
Myerson value
Fairness
Graph
Cooperative games
HAL domain(s) :
Sciences de l'Homme et Société/Economies et finances
English abstract : [en]
This article addresses linear sharing rules on transferable utility games (TU-games) with various structures, namely communication structures and conference structures as defined by Myerson in two papers (Myerson in ...
Show more >This article addresses linear sharing rules on transferable utility games (TU-games) with various structures, namely communication structures and conference structures as defined by Myerson in two papers (Myerson in Mathematics of Operations Research 2:225–229, 1977; Myerson in International Journal of Game Theory 9:169–182, 1980). Here, using matrix expressions, we rewrite those sharing rules. With this presentation we identify the close relationship between the fairness property and an equal treatment of necessary players axiom. Moreover, we show that the latter is implied by the equal treatment of equals, linking the fairness property to the notion of equality.Show less >
Show more >This article addresses linear sharing rules on transferable utility games (TU-games) with various structures, namely communication structures and conference structures as defined by Myerson in two papers (Myerson in Mathematics of Operations Research 2:225–229, 1977; Myerson in International Journal of Game Theory 9:169–182, 1980). Here, using matrix expressions, we rewrite those sharing rules. With this presentation we identify the close relationship between the fairness property and an equal treatment of necessary players axiom. Moreover, we show that the latter is implied by the equal treatment of equals, linking the fairness property to the notion of equality.Show less >
Language :
Anglais
Popular science :
Non
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