An Analysis of Weighted Voting Systems Using the Banzhaf Value.

摘要

In 1962, the Supreme Court in its decision of Baker v. Carr opened the door for reapportionment by population. In 1967, the New York Courts ruled that weighted voting systems could be implemented in reapportionment schemes. The New York Courts have also accepted the Banzhaf value as a measure of voting power. This thesis defines the Banzhaf value and discusses some of its properties. An analysis of existing weighted voting schemes for four New York counties are presented. New schemes are proposed. The appendix presents the method used to compute the Banzhaf value. The computer programs are also included in the appendix. (Author)