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

The analysis of conflicting claims arises when an amount has
to be divided among a set of agents with claims that exceed what is
available. A rule is a way of selecting a division among the
claimants. This package computes the main rules introduced in the
literature from ancient times to the present. The inventory of rules
covers the proportional and the adjusted proportional rules, the
constrained equal awards and the constrained equal losses rules, the
constrained egalitarian, the Piniles’ and the minimal overlap rules,
the random arrival and the Talmud rules. Besides, the Dominguez and
Thomson and the average-of-awards rules are also included. All of
them can be found in the book by W. Thomson (2019), How to divide when
there isn't enough. From Aristotle, the Talmud, and Maimonides to the
axiomatics of resource allocation', except for the average-of-awards
rule, introduced by Mirás Calvo et al. (2022),
<doi:10.1007/s00355-022-01414-6>. In addition, graphical diagrams
allow the user to represent, among others, the set of awards, the
paths of awards, the schedules of awards of a rule, and some indexes.
A good understanding of the similarities and differences between the
rules is useful for better decision-making. Therefore, this package
could be helpful to students, researchers, and managers alike. For a
more detailed explanation of the package, see Mirás Calvo et al.
(2023), <doi:10.1016/j.dajour.2022.100160>.

Estela Sánchez Rodríguez

ClaimsProblems

Analysis of Conflicting Claims

Iago Núñez Lugilde

Miguel Ángel Mirás Calvo

Carmen Quinteiro Sandomingo

MCIN/AEI/10.13039/501100011033 

PRO function

<dl><dt>E</dt>
<dd>The endowment.</dd>
<dt>d</dt>
<dd>The vector of claims.</dd>
<dt>name</dt>
<dd>A logical value.</dd></dl>

Arguments

Proportional rule — PRO

<dl>

<dt>E</dt>
<dd>The endowment.</dd>


<dt>d</dt>
<dd>The vector of claims.</dd>


<dt>name</dt>
<dd>A logical value.</dd>

</dl>

PRO: Proportional rule

Description

Usage

Value

Arguments

Details

References

See Also

Examples