ABSTRACT

This chapter studies voting systems in which the preferences of participants are not treated equally. Examples of such weighted voting systems are found in local, national, and global decision-making organizations. Typically, these systems are used to decide whether to pass a particular measure or motion, based on reaching or exceeding a particular threshold number of votes. In weighted voting systems, it is appropriate and more meaningful to measure the influence or power of each participant. This is illustrated using the Banzhaf Power Index. Significantly, we see that power need not proportionally reflect the voting weight allocated to each participant.