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Computer model of the Banzhaf power index from the Wolfram Demonstrations Project. The Banzhaf power index, named after John Banzhaf (originally invented by Lionel Penrose in 1946 and sometimes called Penrose–Banzhaf index; also known as the Banzhaf–Coleman index after James Samuel Coleman), is a power index defined by the probability of changing an outcome of a vote where voting rights ...
The Roman assemblies provided for weighted voting after the person's tribal affiliation and social class (i.e. wealth). Rather than counting one vote per citizen, the assemblies convened in blocs (tribes or centuries), with the plurality of voters in each bloc deciding the vote of the bloc as an entity (which candidate to support or whether to favor or reject a law, for instance).
Schwartzberg's weighted voting is a weighted voting electoral system, proposed by Joseph E. Schwartzberg, for representation of nations in a reformed United Nations.. The formula is (P+C+M)/3, where P is the nation's percentage of the total population of all UN members, C is that nation's percentage of the total contributions to the UN budget, and M, the nation's percentage of the total UN ...
Mathematics portal: An electoral or voting system is a set of rules used to determine the results of an election. ... Weighted systems are still used in corporate ...
In other words, the system must always make some choice, and cannot simply "give up" when the voters have unusual opinions. Without this assumption, majority rule satisfies Arrow's axioms by "giving up" whenever there is a Condorcet cycle. [9] Non-dictatorship — the system does not depend on only one voter's ballot. [3]
The following shows a worked-out example for all voting systems. Notice how Huntington-Hill and Adams' methods give every party one seat before assigning any more, unlike Sainte-Laguë or d'Hondt. d'Hondt method
The Shapley–Shubik power index was formulated by Lloyd Shapley and Martin Shubik in 1954 to measure the powers of players in a voting game. [1] The constituents of a voting system, such as legislative bodies, executives, shareholders, individual legislators, and so forth, can be viewed as players in an n-player game. Players with the same ...
The Kemeny–Young method is an electoral system that uses ranked ballots and pairwise comparison counts to identify the most popular choices in an election. It is a Condorcet method because if there is a Condorcet winner, it will always be ranked as the most popular choice.