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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).
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 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
An alternative formula was proposed by Grigorii Golosov in 2010. [9]= = + which is equivalent – if we only consider parties with at least one vote/seat – to = = + (/) Here, n is the number of parties, the square of each party's proportion of all votes or seats, and is the square of the largest party's proportion of all votes or seats.
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 ...
Positional voting is a ranked voting electoral system in which the options or candidates receive points based on their rank position on each ballot and the one with the most points overall wins. [1] The lower-ranked preference in any adjacent pair is generally of less value than the higher-ranked one.
The Borda count is a ranked voting system: the voter ranks the list of candidates in order of preference. So, for example, the voter gives a 1 to their most preferred candidate, a 2 to their second most preferred, and so on.