AV: Average rule

In ClaimsProblems: Analysis of Conflicting Claims

Average rule

Description

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

Usage

AV(E, d, name = FALSE)

Arguments

E	The endowment.
d	The vector of claims.
name	A logical value.

Details

Let N=\{1,\ldots,n\} be the set of claimants, E\ge 0 the endowment to be divided and d\in \mathbb{R}_+^N the vector of claims such that \sum_{i \in N} d_i\ge E.

The average rule (AV) is the average of constrained equal awards (CEA) and constrained equal losses (CEL) rules. That is,

\text{AV}(E,d)=\frac{\text{CEA}(E,d)+\text{CEL}(E,d)}{2}.

Value

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

References

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, axioms, CEA, CEL, Talmud, RTalmud.

Examples

E=10
d=c(2,4,7,8)
AV(E,d)

ClaimsProblems documentation built on April 4, 2025, 2:21 a.m.