The proposal of this paper is a new representation for some power indices in a simple game using null player free winning coalitions. Analogously to a set of winning coalitions and minimal winning coalitions, a set of null player free winning coalitions fully captures the characteristics of a simple game. Moreover, expressing indices by winning coalitions that do not contain null players allows us to show the parts of the power that are assigned to null and non-null players in a simple game in a transparent manner.
(2021). Reformulation of Some Indices Using Null Player Free Winning Coalitions . Retrieved from http://hdl.handle.net/10446/199542
Reformulation of Some Indices Using Null Player Free Winning Coalitions
Bertini, Cesarino
2021-01-01
Abstract
The proposal of this paper is a new representation for some power indices in a simple game using null player free winning coalitions. Analogously to a set of winning coalitions and minimal winning coalitions, a set of null player free winning coalitions fully captures the characteristics of a simple game. Moreover, expressing indices by winning coalitions that do not contain null players allows us to show the parts of the power that are assigned to null and non-null players in a simple game in a transparent manner.| File | Dimensione del file | Formato | |
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