nucleolus {GameTheoryAllocation} | R Documentation |
This function gives the nucleolus described in Schmeidler (1969).
nucleolus(characteristic_function, game = c("profit", "cost"))
characteristic_function |
A vector with the characteristic function v(S) (or c(S), if we work with a cost game), according to the order of coalitions shown in |
game |
Characters to indicate if the game is a cost or profit game. The possibles values are |
A vector with the allocation that nucleolus proposes.
A. Saavedra-Nieves
Schmeidler, D. (1969). The nucleolus of a characteristic function game, SIAM Journal of Applied Mathematics, vol. 17, pp. 1163-1170.
characteristic_function<-c(0,0.538, 0.761, 1.742, 0.554, 0.137, 0.293, 0.343) nucleolus(characteristic_function,game="cost") #[1] "Nucleolus" # 1 2 3 # 0.137 0.206 0