PRO: Proportional rule
In ClaimsProblems: Analysis of Conflicting Claims
PRO R Documentation
Proportional rule
Description
This function returns the awards vector assigned by the proportional rule (PRO) to a claims problem.
Usage
PRO(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 D=\sum_{i \in N} d_i\ge E.
The proportional rule (PRO) distributes awards proportional to claims, that is,
\text{PRO}(E,d)=\frac{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, axioms.
Examples
E=10
d=c(2,4,7,8)
PRO(E,d)
ClaimsProblems documentation built on April 4, 2025, 2:21 a.m.
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| PRO | R Documentation |
Proportional rule
Description
This function returns the awards vector assigned by the proportional rule (PRO) to a claims problem.
Usage
PRO(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 D=\sum_{i \in N} d_i\ge E.
The proportional rule (PRO) distributes awards proportional to claims, that is,
\text{PRO}(E,d)=\frac{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, axioms.
Examples
E=10
d=c(2,4,7,8)
PRO(E,d)
R Package Documentation
Browse R Packages
We want your feedback!
Note that we can't provide technical support on individual packages. You should contact the package authors for that.
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