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A Complete Geometric Representation of Four-Player Weighted Voting Systems
2013
Journal of Mathematics Research
This paper seeks to expand voting power theory, a branch of game theory that applies to many important organizations. Typically, weighted voting systems are displayed using the algebraic representation, consisting of a quota and a weight vector. A newer idea, however, is the geometric representation. This representation maps all normalized weighted voting systems onto a simplex and thus can be called a complete representation of weighted voting systems. The concept of the region, sets of
doi:10.5539/jmr.v5n1p122
fatcat:wzxfd6nskbhafixcym3jq3bbhu