1 Answers
In the fair cake-cutting problem, the partners often have different entitlements. For example, the resource may belong to two shareholders such that Alice holds 8/13 and George holds 5/13. This leads to the criterion of weighted proportionality : there are several weights w i {\displaystyle w_{i}} that sum up to 1, and every partner i {\displaystyle i} should receive at least a fraction w i {\displaystyle w_{i}} of the resource by their own valuation.
In contrast, in the simpler proportional cake-cutting setting, the weights are equal: w i = 1 / n {\displaystyle w_{i}=1/n} for all i {\displaystyle i}
Several algorithms can be used to find a WPR division.