# pathawards3: The path of awards for three claimants In ClaimsProblems: Analysis of Conflicting Claims

## Description

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

## Usage

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

## Arguments

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

## Details

Let d, with d≥ 0, be a vector of claims and denote D=∑ di 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)={(Ri(E,d),Rj(E,d),Rk(E,d)): 0≤ E ≤ D}.

## Value

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

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