AlphaMin | R Documentation |
This function calculates how to distribute a given endowment by the Alphamin rule.
AlphaMin(E, C, Names = NULL)
E |
Endowment |
C |
Claims of the agents |
Names |
Labels of the agents |
For each endowment and each claim, the \alpha-min
rule ensures an equal division of the endowment among the claimants as far as the smallest claim is totally honoured; then, the remainig endowment is distributed proportionally among the revised claims.
In order to calculate the rule properly, input the claims of the agents in ascending order.
Maria Jose Solis-Baltodano <mary2014sep@gmail.com>
Gimenez-Gomez J.M., & Peris J.E. (2014). "A proportional approach to claims problems with a guaranteed minimun." European Journal of Operational Research, 232(1), pp.109–116.
CLAIMS<-c(10,20,30,40)
AGENTS<-c("Paul","John","George","Ringo")
AlphaMin(67,CLAIMS,AGENTS)->ALPHA
summary(ALPHA)
# Assignment according to the Alpha-min Rule rule for an Endowment of 67
# Claims Amin
# Paul 10 10.0
# John 20 14.5
# George 30 19.0
# Ringo 40 23.5
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