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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 ...
John Francis Banzhaf III (/ ˈ b æ n z. h ɑː f /; [1] born July 2, 1940) is an American public interest lawyer, legal activist, and law professor at the George Washington University Law School. He is the founder of an antismoking advocacy group, Action on Smoking and Health . [ 2 ]
Banzhaf power index; Voting behavior; Bertrand's ballot theorem; ... Condorcet efficiency; Condorcet paradox; Condorcet's jury theorem; Cube root law; Curia ...
There are a number of methods which compute a voting power for different sized or weighted constituencies. The main ones are the Shapley–Shubik power index, the Banzhaf power index. These power indexes assume the constituencies can join up in any random way and approximate to the square root of the weighting as given by the Penrose method ...
In the mathematical theory of games, the Penrose square root law, originally formulated by Lionel Penrose, concerns the distribution of the voting power in a voting body consisting of N members. [ 1 ] [ 2 ] [ 3 ] It states that the a priori voting power of any voter, measured by the Penrose–Banzhaf index ψ {\displaystyle \psi } scales like 1 ...
Here's what you need to remember from "Fourth Wing" and "Iron Flame."
In his nearly four weeks in office, President Donald Trump has unveiled a constant stream of policy priorities in quick succession, from shrinking government, to cutting taxes, to waging a war on ...
There, the voting powers (i.e, the Banzhaf power index) of people from polities of different sizes are equal if the delegations of each polity receive their voting weight according to the square root of the population they represent and if the vote en bloc. Obviously, the voting powers of the delegations are not equal then but reciprocal to the ...