Evaluating groups with the generalized Shapley value
Ramón Flores (),
Elisenda Molina () and
Juan Tejada ()
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Ramón Flores: IMUS-Universidad de Sevilla
Elisenda Molina: Universidad Carlos III de Madrid
Juan Tejada: Universidad Complutense de Madrid
4OR, 2019, vol. 17, issue 2, 141-172
Abstract Following the original interpretation of the Shapley value as a priori evaluation of the prospects of a player in a multi-person interaction situation, we intend to apply the Shapley generalized value (introduced formally in Marichal et al. in Discrete Appl Math 155:26–43, 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 an objective 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.
Keywords: Game theory; TU games; Shapley value; Generalized values; Group values; 91A12; 91A43 (search for similar items in EconPapers)
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