Optimization of decisional power in representational systems with vote binding

Abstract

The theory of decisional power of Hoede and Bakker is applied to representational systems in which all representatives of a certain group vote alike. An equivalent system is one in which a group is represented by one representative with a voting weight. The main theorem of this paper gives the optimal distribution of weights for such a system. As an example the distribution of seats in the european parliament of the european economic community is reconsidered. The effect of vetoes is discussed as well as other ways of voting towards inaction used for minority protection. The decrease in overall power is accompanied by a tendency towards greater equality of power.