GameTheory (version 2.7)

AlphaMin: AlphaMin Rule

Description

This function calculates how to distribute a given endowment by the Alphamin rule.

Usage

AlphaMin(E, C, Names = NULL)

Arguments

E

Endowment

C

Claims of the agents

Names

Labels of the agents

Author

Maria Jose Solis-Baltodano <[e-mail]>

Details

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.

References

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.

Examples

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