A CRITERION ON APPORTIONMENT METHODS MINIMIZING THE R´ENYI’S DIVERGENCE

Abstract

For the R´enyi’s divergence with an index α, we propose a criterion with respect to the index α on apportionment methods, which the criterion is the sum of the R´enyi’s divergence and a proposed function of α as a kind of penalty. Under the criterion, we also obtain appropriate house seats in the House of Representatives and the House of Councillors in Japan.