A simple family of solutions for forest games
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In this paper we study TU-games where the cooperation structure among the players is modeled by a forest. Using the classical component efficiency axiom and a generalized version of the component fairness axiom we obtain a family of solutions. We show that every solution in this family is based on a process of transfers among the players, and the average tree solu- tion belongs to the family. Finally, we obtain a solution based on the degree of the nodes and we study a set of properties satisfied by this family. © 2017, American Institute of Mathematical Sciences.
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Average tree solution; Component efficiency; Forest games; Generalized component fairness
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