Abstract
Apportionment is the distribution of house seats based proportionally on the population of electoral districts. It is impossible to meet the ideal of proportionality in practice because the number of seats given to each district must be an integer in apportionment. In fact, although there are a number of reasonable apportionment methods, it is not easy to evaluate them. This paper discusses the apportionment methods which maximize Renyi's entropy or minimize Renyi's divergence, where the values of each vote are considered a discrete probability distribution.
