ON THE STRONG HYBRID SOLUTION OF AN N-PERSON GAME

Bertrand Crettez (1) , Rabia Nessah (2) , Tarik Tazdaït (3)

1 CRED - Centre de Recherche en Economie et Droit
2 LEM - Lille économie management - UMR 9221
3 CIRED - Centre International de Recherche sur l'Environnement et le Développement

We propose a new notion of coalitional equilibrium, the strong hybrid solution, which is a refinement of Zhao's hybrid solution. It is well suited to study situations where people cooperate within coalitions but where coalitions compete with one another. In the strong hybrid solution, as opposed to the hybrid solution, the strategy profile assigned to each coalition is strongly Pareto optimal. We show that there exists a strong hybrid solution whenever preferences are partially quasi-transferable.

Mots clés: hybrid solution; strong hybrid solution; N -Person Game coalition structure hybrid solution strong hybrid solution; N -Person Game; coalition structure

Domaines: Economies et finances

Bertrand Crettez, Rabia Nessah, Tarik Tazdaït. ON THE STRONG HYBRID SOLUTION OF AN N-PERSON GAME. Mathematical Social Sciences, 2022, 117, pp.61-68. ⟨10.1016/j.mathsocsci.2021.07.006⟩. ⟨hal-03875293⟩