Allocation rules for coalitional network games

• Players cooperate by forming networks and coalitions.
• The flexible approach assumes that players organize themselves the best way possible.
• We propose two allocation rules that distribute the value of the efficient structure.
• A first rule allocates directly the value to the players.
• A second rule allocates indirectly the value to the minimal forms of cooperation.

Coalitional network games are real-valued functions defined on a set of players organized into a network and a coalition structure. We adopt a flexible approach assuming that players organize themselves the best way possible by forming the efficient coalitional network structure. We propose two allocation rules that distribute the value of the efficient coalitional network structure: the atom-based flexible coalitional network allocation rule and the player-based flexible coalitional network allocation rule.