pathawards3: The path of awards for three claimants

In ClaimsProblems: Analysis of Conflicting Claims

The path of awards for three claimants

Description

This function returns the graphical representation of the path of awards of any rule for a claims vector and three claimants.

Usage

pathawards3(d, claimants, Rule, col = "red", points = 300)

Arguments

d	The vector of claims.
claimants	Three claimants.
Rule	The rule: AA, APRO, CE, CEA, CEL, AV, DT, MO, PIN, PRO, RA, Talmud, RTalmud.
col	The colour of the path, by default, col="red".
points	The number of values of the endowment to draw the path.

Details

Let N=\{1,\ldots,n\} be the set of claimants, d\in \mathbb{R}_+^N a vector of claims and denote by D=\sum_{i \in N} d_i the sum of claims.

The path of awards of a rule \mathcal{R} for three claimants i,j,k\in N is the parametric curve:

p(E)=\Bigl\{(\mathcal{R}_i(E,d),\mathcal{R}_j(E,d),\mathcal{R}_k(E,d))\in \mathbb{R}^3:\;E\in[0,D]\Bigr\}.

Value

The graphical representation of the path of awards of a rule for the given claims and three claimants.

See Also

pathawards, schedrule, schedrules, verticalruleplot.

Examples

d=c(2,4,7,8)
claimants=c(1,3,4)
Rule=Talmud
pathawards3(d,claimants,Rule)

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