Abstract
This paper discusses the power pn of an n-member subgroup Bn of an N-member voting body, N odd and 1 ≤ n ≤ N. In contrast to bloc voting, we assume that the members vote independently with equal probability “for” and “against” a given issue. Power pn is defined as the probability that the outcome of a vote changes if all members of Bn reverse their votes. Theorems: pn + 1 = n for odd n pm + n if m + n λ > 1, pλN → 2π−1 sin−1 λ1/2 as N → ∞. A simple summation formula is given for pn.
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