Allocation Rules for Multi-choice Games with a Permission Tree Structure

David Lowing (1)

1 GATE Lyon Saint-Étienne - Groupe d'Analyse et de Théorie Economique Lyon - Saint-Etienne

We consider multi-choice cooperative games with a permission tree structure. Multi-choice games are a generalization of a cooperative transferable utility games in which each player has several activity levels. In addition, a permission tree structure models a situation in which a player needs permission from another player to cooperate. In this framework, the influence of a permission structure on the possibility of cooperation may have several interpretations depending on the context. In this paper, we investigate several of these interpretations and introduce for each of them a new allocation rule that we axiomatically characterize.

Mots clés: Multi-choice games; Multi-choice Permission value; Permission (tree) structures Multi-choice games; Permission (tree) structures

Domaines: Economies et finances

David Lowing. Allocation Rules for Multi-choice Games with a Permission Tree Structure. 2021. ⟨halshs-03121514⟩