pathawards3 {ClaimsProblems}

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, DT, MO, PIN, PRO, RA, Talmud.

col

The colour of the path, by default, col="red".

points

The number of values of the endowment to draw the path.

Details

Let d\in \mathcal{R}^n, with d\ge 0, be a vector of claims and denote D=\sum_{i=1}^{n} d_i the sum of claims.

The path of awards of a rule R for three claimants i, j, and k is the parametric curve:

p(E)=\{(R_i(E,d),R_j(E,d),R_k(E,d))\in \mathcal{R}^3:\;E\in[0,D]\}.

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)