Article Dans Une Revue Mathematical Social Sciences Année : 2022

ON THE STRONG HYBRID SOLUTION OF AN N-PERSON GAME

Résumé

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.

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hal-03875293 , version 1 (28-11-2022)

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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⟩
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