Mathematically, that means that for all partners i and j: Where: The following table illustrates the difference.
It has also been applied in the division of homogeneous resources; see Adjusted winner procedure.
Recently, it has also been studied in the context of fair item allocation.
With indivisible items, an equitable allocation might not exist, but it can be approximated in several ways.
For example, an allocation is called EQ1 if the difference between subjective valuations is at most a single item.