%0 Journal Article
%A Flores, Ramón
%A Molina Ferragut, Elisenda
%A Tejada Cazorla, Juan Antonio
%T Evaluating groups with the generalized Shapley value
%D 2018
%@ 1619-4500
%@ 1614-2411
%U https://hdl.handle.net/20.500.14352/116994
%X Following the original interpretation of the Shapley value as a priori evaluation of the prospects of a player in a multiperson interaction situation, we intend to apply the Shapley generalized value (introduced formally in Marichal et al. in 2007) as a tool for the assessment of a group of players that act as a unit in a coalitional game. We propose an alternative axiomatic characterization which does not use a direct formulation of the classical efficiency property. Relying on this valuation, we also analyze the profitability of a group. We motivate this use of the Shapley generalized value by means of two relevant applications in which it is used as anobjective function by a decision maker who is trying to identify an optimal group of agents in a framework in which agents interact and the attained benefit can be modeled by means of a transferable utility game.
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