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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.
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 ...
All superlative indices produce similar results and are generally the favored formulas for calculating price indices. [14] A superlative index is defined technically as "an index that is exact for a flexible functional form that can provide a second-order approximation to other twice-differentiable functions around the same point." [15]
The Russell indexes are objectively constructed based on transparent rules. The broadest U.S. Russell Index is the Russell 3000E Index which contains the 4,000 largest (by market capitalization) companies incorporated in the U.S., plus (beginning with the 2007 reconstitution) companies incorporated in an offshore financial center that have their headquarters in the U.S.; a so-called "benefits ...
If adaptations to the environment are made, they should be described in detail and attached to the Barthel index. [ 2 ] The scale was introduced in 1965, [ 3 ] and yielded a score of 0–100 (Mahoney, F.I. & Barthel, D.W., 1965.
The same index was rediscovered by Orris C. Herfindahl in 1950. [11] The square root of the index had already been introduced in 1945 by the economist Albert O. Hirschman. [12] As a result, the same measure is usually known as the Simpson index in ecology, and as the Herfindahl index or the Herfindahl–Hirschman index (HHI) in economics.