Inconsistencies of Weighted Summation Voting Systems

Mathematics of Voting – Weighted Voting Systems

Weighted voting systems: reliability versus rapidity

Gregory Levitin Reliability Department, Planning, Development and Technology Division, Bait Amir, Israel Electric Corporation Ltd., P.O. Box 10, Haifa, 31000 Israel E-mail: [email protected] Abstract The weighted voting system (WVS) consists of n units that each provide a binary decision (0 or 1) or abstain from voting. Each unit has its own individual weight. System output is 1 if the cumulati...

A Complete Geometric Representation of Four-Player Weighted Voting Systems

The relatively new weighted voting theory applies to many important organizations such as the United States Electoral College and the International Monetary Fund. Various power indexes are used to establish a relationship between weights and influence; in 1965, the Banzhaf Power Index was used to show that areas of Nassau County were unrepresented in the county legislature. It is of interest to...

Weighted Approval Voting

To allow society to treat unequal alternatives distinctly we propose a natural extension of Approval Voting [7] by relaxing the assumption of neutrality. According to this extension, every alternative receives ex-ante a non-negative and finite weight. These weights may differ across alternatives. Given the voting decisions of every individual (individuals are allowed to vote for, or approve of,...

Dynamic weighted voting games

We initiate the study of dynamic cooperative games—cooperative games where the characteristic function may change over time. We introduce two types of algorithmic problems for such games: computing a given solution concept at time t, and checking that a certain function of the game (e.g., the Shapley value of a given player or the value of the least core) remains within given bounds during time...