Análisis matemático al Método D’Hondt de asignación de escaños parlamentarios

Abstract

The D’Hondt method, based on successive divisions, isused in many countries for the distribution of seats in Parliament. The method presents difficulties in assignments where the quantities of votes have relationships among themselves, 1, 1/2, 1/3, . . . , 1/n, or 1,2, 3,. . . , n where n is the maximum number of vyingseats. It is demonstrated with theory of continuous functions, analytic geometry, and examples, that the cases of discontinuity significantly affect the model. These situations are elucidated through raffles in cases of a tie when allocation of seats.