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Simpler Calculations for the Span Technique
1a Department of Mathematics , Westfield College, University of London , England.
Abstract:
Mackinnon's SPAN technique is an iterative voting system where votes are reallocated between the voters and the alternatives being voted for in fixed proportions round by round. This iterative reallocation is usually performed by a computer. However, the technique is related to stochastic matrix theory, and the limiting allocations of votes can be found more directly by solving a set of linear simultaneous equations. The appropriate set of equations is derived, and an example of their use is presented.
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