AV {ClaimsProblems} | R Documentation |
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)