A divisor apportionment method based on the Kolm-Atkinson social welfare function and generalized entropy

This paper links Stolarsky mean apportionment methods, which include the US House of Representatives, the Saint-Lague, and the d'Hondt methods, to Kolm-Atkinson social welfare maximization and to generalized entropy minimization. Within this class, the logarithmic mean apportionment method is the most unbiased one that assigns at least one seat to each state.