AlphaMin: AlphaMin Rule

In GameTheory: Cooperative Game Theory

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

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.

Note

In order to calculate the rule properly, input the claims of the agents in ascending order.

Author(s)

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

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

GameTheory documentation built on Sept. 25, 2023, 5:07 p.m.