PRO: Proportional rule

Description Usage Arguments Details Value References See Also Examples

View source: R/PRO.R

Description

This function returns the awards vector assigned by the proportional rule (PRO) to a claims problem.

Usage

1
PRO(E, d, name = FALSE)

Arguments

E

The endowment.

d

The vector of claims.

name

A logical value.

Details

Let E≥ 0 be the endowment to be divided and d the vector of claims with d≥ 0 and such that D=∑ di ≥ E, the sum of claims D exceeds the endowment.

The proportional rule distributes awards proportional to claims.

PRO(E,d)=(E/D)*d

Value

The awards vector selected by the PRO rule. If name = TRUE, the name of the function (PRO) as a character string.

References

Aristotle, Ethics, Thompson, J.A.K., tr. 1985. Harmondsworth: Penguin.

Thomson, W. (2019). How to divide when there isn't enough. From Aristotle, the Talmud, and Maimonides to the axiomatics of resource allocation. Cambridge University Press.

See Also

allrules, APRO

Examples

1
2
3
E=10
d=c(2,4,7,8)
PRO(E,d)

ClaimsProblems documentation built on April 7, 2021, 9:07 a.m.