Discounted Tree Solutions

Sylvain Béal (1) , Eric Rémila (2) , Philippe Solal (2)

1 CRESE - Centre de REcherches sur les Stratégies Economiques (UR 3190)
2 GATE Lyon Saint-Étienne - Groupe d'Analyse et de Théorie Economique Lyon - Saint-Etienne

This article introduces a discount parameter and a weight function in Myerson's (1977) classical model of cooperative games with restrictions on cooperation. The discount parameter aims to reflect the time preference of the agents while the weight function aims to reflect the importance of each node of a graph. We provide axiomatic characterizations of two types of solution that are inspired by the hierarchical outcomes (Demange, 2004).

Mots clés: Graph games; discount parameter; weight function; discounted tree solutions; invariance with respect to cone amalgamation; generalized standardness; δ-reducing agent

Domaines: Informatique et théorie des jeux [cs.GT]; Microstructure des marchés [q-fin.TR]

Sylvain Béal, Eric Rémila, Philippe Solal. Discounted Tree Solutions . 2015. ⟨hal-01377923⟩