Cooperative Games and Coalition Formation

Model a vee as a three-player cooperative game and define its characteristic function.

Analyze coalition formation possibilities within a vee, including dyadic sub-coalitions versus the grand coalition.

Apply the Shapley value to propose fair resource distributions in a vee and interpret the results.

Calculate the Banzhaf power index for partners in a vee and contrast it with the Shapley value.

Determine whether the core is non-empty for a given vee coalition structure.

Assess the stability of different coalition structures in a vee using the core.