Computer Simulation of Multi-optional Decisions

Abstract

The formula for the estimation of average disproportion of seats allocation using Hamilton method is obtained. It is shown that, by proportionality of voters’ will representation in the final multi-optional decision, the best from the d’Hondt, HuntingtonHill and Sainte-Lagu¨e methods, is the last one. Also, the use of Sainte-Lagu¨e method is easier than that of complemented Webster method. Moreover, the proposed monotone adapted SainteLagu¨e method is considerably better than the Huntington-Hill one. So, for apportionment in the United States Congress House of Representatives, the adapted Sainte-Lagu¨e method is more convenient than the used from 1941 year Huntington-Hill method.