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The first half of this paper describes and contrasts two well known measures of power in voting systems, introduced by Shapley and Shubik and by Banzhaf and Coleman, respectively. The second half develops an explanatory model for a generalization of the Shapley-Shubik measure, first proposed by Owen in a slightly different form, in which ideological differences among the voters can be taken into account. The purpose of the paper is mainly expository, but a number of new results and interpretations are included.
This report is part of the RAND Corporation Paper series. The paper was a product of the RAND Corporation from 1948 to 2003 that captured speeches, memorials, and derivative research, usually prepared on authors' own time and meant to be the scholarly or scientific contribution of individual authors to their professional fields. Papers were less formal than reports and did not require rigorous peer review.
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