Weighted component fairness for forest games
Sylvain Béal
- Fonction : Auteur
- PersonId : 6772
- IdHAL : sylvain-beal
- ORCID : 0000-0002-7085-2714
- IdRef : 095359028
Éric Rémila
- Fonction : Auteur
- PersonId : 745868
- IdHAL : eric-remila
- ORCID : 0000-0002-9265-9907
- IdRef : 104534591
Philippe Solal
- Fonction : Auteur
- PersonId : 745847
- IdHAL : philippe-solal
- IdRef : 058054499
Résumé
We study the set of allocation rules generated by component efficiency and weighted component fairness, a generalization of component fairness introduced by Herings et al. (2008). Firstly, if the underlying TU-game is superadditive, this set coincides with the core of a graph-restricted game associated with the forest game. Secondly, among this set, only the random tree solutions (Béal et al., 2010) induce Harsanyi payoff vectors for the associated graph-restricted game. We then obtain a new characterization of the random tree solutions in terms of component efficiency and weighted component fairness.
Domaines
Economies et financesFormat du dépôt | Notice |
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Type de dépôt | Article dans une revue |
Titre |
en
Weighted component fairness for forest games
|
Résumé |
en
We study the set of allocation rules generated by component efficiency and weighted component fairness, a generalization of component fairness introduced by Herings et al. (2008). Firstly, if the underlying TU-game is superadditive, this set coincides with the core of a graph-restricted game associated with the forest game. Secondly, among this set, only the random tree solutions (Béal et al., 2010) induce Harsanyi payoff vectors for the associated graph-restricted game. We then obtain a new characterization of the random tree solutions in terms of component efficiency and weighted component fairness.
|
Auteur(s) |
Sylvain Béal
1, 2
, Éric Rémila
2, 3
, Philippe Solal
2
1
CRESE -
Centre de REcherches sur les Stratégies Economiques (UR 3190)
( 106420 )
- IUT 30 Avenue de l'observatoire 25009 Besançon Cedex
- France
2
GATE Lyon Saint-Étienne -
Groupe d'Analyse et de Théorie Economique Lyon - Saint-Etienne
( 102550 )
- 93, chemin des Mouilles 69130 Écully
6, rue Basse des Rives 42023 Saint-Étienne cedex 02
- France
3
LIP -
Laboratoire de l'Informatique du Parallélisme
( 35418 )
- 46 Allée d'Italie 69364 LYON CEDEX 07
- France
|
Langue du document |
Anglais
|
Nom de la revue |
|
Date de production/écriture |
2012
|
Audience |
Internationale
|
Date de publication |
2012
|
Volume |
64
|
Numéro |
2
|
Page/Identifiant |
144-151
|
Comité de lecture |
Oui
|
Vulgarisation |
Non
|
Mots-clés (JEL) |
|
Domaine(s) |
|
Mots-clés |
en
(Weighted) component fairness
|
DOI | 10.1016/j.mathsocsci.2012.03.004 |
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